The fuel for a chain saw is a mix of oil and gasoline. The ratio of ounces of oil to gallons of gasoline is 6:19. There are 57 gallons of gasoline. How many ounces of oil are there?

2 ounces

18 ounces

24 ounces

180.5 ounces

Answers

Answer 1

According to the specified ratio , we obtain The gasoline contains 18 ounces of oil.

What's does ratio mean?The number, volume, or size difference between two or more items is known as their proportion.We got the word "ratio" directly from the Latin word, which is also called "suitable ratio." The mathematics and English ratios were derived from the Latin ratio, which had multiple meanings, ranging from "reason" to "calculation" to "proportion."Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.

The fuel for a chain saw is a mix of oil and gasoline.

The ratio of ounces of oil to gallons of gasoline is 6:19.

So oil : gas = 6:19

There are 57 gallons of gasoline

⇒ oil : gas = 6:19

Let there are x gallons of ounces of oil

So x : 57 = 6:19

Convert ratio to fraction

⇒ x/57 = 6/19

Multiply both sides by 57

⇒ x = (6/19)57

⇒ x = 18

Hence, there are 18  ounces of oil in the fuel.

To learn more about  ratio  refer,

https://brainly.com/question/4709787

#SPJ1


Related Questions

12.10p +5.25
11.75p+7.50

Is this no solution

Answers

Answer:

I can't see a solution from what you have given us

Solve the inequality.

$-12

Answers

This answer is 33$. Yeahhhhhh

PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.

Answers

Answer:

0.93 km

Step-by-step explanation:

The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.

Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.

Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.

can someone solve: Layla wants to build a wooden box with a volume of 454545 cubic centimeters.

She started with a width of 3\text{ cm}3 cm3, start text, space, c, m, end text and a height of 3\text{ cm}3 cm3, start text, space, c, m, end text.

How long should Layla make the box? if someone could kindly do so, please put an answer AND comment by copying and pasting the answer! omg tysm

Answers

Layla can make the box up to 5centimeter long.

How to calculate volume of a box?Rectangles have a volume that is equal to their length, breadth, and height. If your box is a cube or a rectangular prism, all you need to know is its size in terms of length, width, and height. Then, to calculate volume, multiply them all together.

       V = l x w x h

Measure the box's length. If you look up at your box from the bottom, the top appears to be a flat rectangle with the longest side being the height. This number should be noted as "length." If you measure one side in inches, you must measure them all in inches. Be sure to use the same measurement for each side.Next to the length, gauge the box's breadth. The box's other edge, adjacent to the length, is its breadth. The breadth is the side that forms a "L" with the length when you look at one side of the box. This measurement should be noted as "width." The side that is shorter is always the width.The box's height should be measured. The distance from the top of the box to the ground is the last side you haven't measured. This measurement should be noted as "height." Add the three sides together and multiply. Remember that the formula for volume is V = length x width x height, therefore to calculate volume, simply multiply the three sides by one another. Include the measurement units you used as well, so you don't misinterpret your results.Units should be added to your volume. Volume is a measurement, but if you don't know the system used to measure it, your result won't signify anything. Your form of measurement cubed is the proper way to write out volume.

Here it is given that,

volume= 45cm³

width= 3cm

height=3cm

volume = width × height × length

45cm³=3cm×3cm×length

45cm³=9cm²×length

length=45cm³÷9cm²

          =5cm.

Hence, Layla can make the box up to 5centimeter long.

To learn more about volume of a box refer to:

https://brainly.com/question/463363

#SPJ1

make g the subject of 3e+4g=7+9eg

Answers

Answer:

the answer is g = (7 - 3e) / (4 - 9e)

Step-by-step explanation:

The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.

The given equation subject of equation is 3e + 4g = 7 + 9eg

Subtraction of 9eg from both sides of the equation

3e + 4g - 9eg = 7 + 9eg - 9eg

3e + 4g - 9eg = 7

Subtract 3e on both sides of the equation

3e + 4g - 9eg - 3e = 7 - 3e

4g - 9eg = 7 - 3e

Factorize g on left side of the equation,

g (4 - 9e) = 7 - 3e

Then divide (4 - 9e) on both sides of the equation,

g = (7 - 3e) / (4 - 9e)

To learn more about equation refer to:

https://brainly.com/question/22688504

#SPJ1

Can you please give me the answer you don’t have to solve all but please!!!!!!

Answers

Answer: Reduction: 1/3

Step-by-step explanation:

Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.

Answer: Reduction 1/3.

Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.

Have a great day! :)

Match each theorem with its description.

Answers

(3) Isosceles triangle Theorem

(8) Same side Interior angle Theorem

(2) Triangle sum Theorem

(1) Vertical angle Theorem

(7) Alternate exterior angle Theorem

(5)Corresponding angle Postulate

(6)Alternate exterior angle Theorem

(4) Triangle midsegment Theorem

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.

Same side Interior angle Theorem:

The same side interior angles are additional when two parallel lines are cut by a transversal.

Triangle sum Theorem:

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

Vertical angle Theorem:

When two straight lines collide, two sets of linear pairs with identical angles are created.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Corresponding angle Postulate:

The related angles are equivalent if a transversal cuts two parallel lines.

Alternate exterior angle Theorem:

The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.

Triangle midsegment Theorem:

The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.

To learn more about theorem and postulate, click on below link:

https://brainly.com/question/26142429

#SPJ1

james is painting an L- shaped piece of wood that is made up of two rectangular prisms
6 in
5 in
1 in
7 in
11 in
How many square inches does he need to paint?

Answers

Applying the surface area of a rectangular prism, the number of square inches hat will be painted is, 346 in.².

How to Find the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism = 2(wl + hl + hw), where:

length - lwidth = wheight = h

The L-shaped piece of wood is composed of two rectangular prisms, therefore:

The square inches of paint needed = surface area of prism 1 + surface are of prism 2 - 2(area where both prism meet).

Prism 1 surface area:

l = 7 in.

w = 6 in.

h = 5 + 1 = 6 in.

Surface area = 2·(6·7+7·7+7·6) = 266 in.²

Prism 2 surface area:

l = 7 in.

w = 11 - 6 = 5 in.

h = 1 in.

Surface area = 2·(5·7+1·7+1·5) = 94 in.²

Area where both prism meet = (l)(w) = (7)(1) = 7 in.²

Number of square inches that needs to be painted = 266 + 94 - 2(7)

= 346 in.²

Learn more about rectangular prism on:

https://brainly.com/question/1015291

#SPJ1

pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x​

Answers

Answer:

y=7x

Step-by-step explanation:

There are 30 students in Mrs. Woodward's class and 1/5 of the class has their own cell phone. Of the students that have cell phones, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?

Answers

Answer: 3 people

Step-by-step explanation:

1/5 of 30 will give us the number of students.

6

1/2 of 6, will give us the number of people who can use social media.

3 people.

If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?

A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |

Answers

Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.

Step-by-step explanation:

Note that given that 3/4 is less than 1 the original function is compressed.

- Take care <3

A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.


Determine the distance between the Trolley Train and the Silly Slide.

25 units
7 units
5 units
3 units

Answers

The distance between the Trolley Train and the Silly Slide is 5 units. The  3rd option is the answer

How to determine the distance between the Trolley Train and the Silly Slide?

From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)

The formula for finding the distance between the two points is given as:

d=√(x₂ – x₁)² + (y₂ – y₁))²).

where

x₁ = -2,

y₁ = -6 (Trolley Train)

x₂ = 2

y₂ = -3 (Silly Slide)

d = √((2 – (-2))² + (-3 – (-6))²)

d = √((4)² + (3)²)

d = √25

d = 5 units

Learn more about the distance between two points on:

brainly.com/question/17704491

#SPJ1

at a certain gas station, 35% of the customers use regular unleaded gas, 35% use extra unleaded gas, and the remainder use premium unleaded gas. of those using regular gas, only 50% fill their tanks. of those customers using extra unleaded, 30% fill their tanks, whereas of those using premium unleaded, 30% fill their tanks. if the next customer fills the tank, what is the probability that extra unleaded gas was requested? (give your answer in percentage terms with one decimal point of precision.)

Answers

The probability that extra unleaded gas was requested is 35%.

To find the probability that the next customer requested extra unleaded gas, we need to first find the total probability that any customer requests extra unleaded gas.

Since 35% of customers request extra unleaded gas, the probability that a customer requests it is 35%. Of those customers, 30% fill their tanks, so the probability that a customer requesting extra unleaded gas fills their tank is 30%.

Therefore, the probability that a customer requesting extra unleaded gas fills their tank is (35%) * (30%) = 0.105, or about 10.5%.

This is the probability that the next customer requested extra unleaded gas and fills their tank. To find the probability that the next customer simply requested extra unleaded gas, regardless of whether they fill their tank or not, we need to add the probabilities of them requesting extra unleaded gas and either filling or not filling their tank.

The probability that the next customer requested extra unleaded gas and filled their tank is 0.105, as we calculated above. The probability that the next customer requested extra unleaded gas and did not fill their tank is (35%) * (70%) = 0.245, or about 24.5%.

To find the total probability that the next customer requested extra unleaded gas, we need to add these two probabilities: 0.105 + 0.245 = 0.35, or 35%. This is the probability that the next customer requested extra unleaded gas.

To learn more about probability,

visit; brainly.com/question/29381779

#SPJ4

In a school Auditorium, there are three types of rows arrangement
possible for watching programs: rows of 20 students per row, or rows
of 25 students ver row, or rows of 40 students per row. Find the least
number of students required for any one of these arrangements so
that all the students can be accommodated in each of these
arrangements.

Answers

I think

it should be 200 as it's the first common multiple of 20 40 and 25

the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.

Answers

According to the question,

Given data,

The correlation between cost and distance is 0.791.

The farther the house is from a first station, the higher cost of damage tends to be.

the correlation between cost and distance

The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.

How is correlation measured?

The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.

To know more about correlation measured visit

https://brainly.com/question/22921782

#SPJ4

Help me aspp please before 11:59 pm

Answers

(5,0) and (0,10)
(0,10) is the y intercept

Kaylee conducted a scientific experiment. For a certain time, the temperature of a
compound rose 1 degrees every of an hour. What was the rate, in degrees per
hour, that the temperature of the compound rose? Enter your answer as a whole
number, proper fraction, or mixed number in simplest form.

Answers

The rate was the temperature increased by 1 degree for every 1 hour that passed.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Kaylee carried out a scientific experiment. For a period of time, the temperature of a compound grew by one degree per hour.

The rate at which the temperature of the compound rose is 1 degree per hour. This means that for every hour that passed, the temperature of the compound increased by 1 degree.

The units for the rate are degrees per hour, which means that the temperature increased by 1 degree for every 1 hour that passed.

To learn more about the rate click here :

brainly.com/question/12786410

#SPJ1

Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?

A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds

Answers

Answer:

B

Step-by-step explanation:

[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]

Your answer is B eleven twelfths pounds

Consider the function
What is
f(x) = -2/3x + 5.
ƒ ( − 1/2 )
?

Answers

Answer:

Step-by-step explanation:

0

Answer:

f(1/2) = 5 1/3

Step-by-step explanation

All you need to do is replace each x in the function with -1/2, and you have your answer!

Hope this helps :)

Please help brainliest

Answers

The missing side of the right triangle is b = 35.7

How to find the missing measure?

Remember that we know that for a right triangle, the sum of the squares of the legs is equal to the square of the hypotenuse.

Here we know that c is the hypotenuse, so we can write:

a^2 + b^2 = c^2

We also know that:

a = 13

c = 38

And we want to find the value of b, so we can write:

b^2 = c^2 - a^2

b = √(c^2 - a^2)

b =  √(38^2 - 13^2)

b = 35.7

That is the value of the missing side.

Learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1


Sometimes business partners do not share the ownership of a
business equally. Instead, they own a percentage of the
business, and each receives that percent of the profits.
Alvarez, Brown, and Chow are partners in a business that
earned $500,000. Alvarez owns 40% of the business. Chow
received $175,000. How much money did Alvarez make?

Answers

Alvarez received $200,000 which is 40% of the profit.

Define percentage.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it. Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent. You divide the part of the whole by the whole and multiply the result by 100 to get the percentage.

Given

Profit $500000

Alvarez owns 40% of the business.

Percentage

500000 × 40%

200000

Alvarez received $200,000 which is 40% of the profit.

To learn more about percentage, visit:

https://brainly.com/question/28269290

#SPJ1

Is this statement true or false?

Answers

TRUE: The given condition is correct that m ≤ 10 and m > 4.

Explain the term inequality of the numbers?An inequality in mathematics depicts the relationship between these two values in an unbalanced algebraic expression. A sign of inequality can be used to show that one of the two variables is larger than, greater than or comparable to, less than, or equal to some other value.Equal does not imply inequality. Typically, we use the "not equal sign (≠)" to indicate that two parameters are not equal. But several inequalities are utilized to compare the numbers, either it is less than or higher than.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

To know more about the inequality of the numbers, here

https://brainly.com/question/19003099

#SPJ1

what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5

Answers

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

What is probability?

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.

Calculation:

Mean = 10.5 and Total no. of females = 5 = random variable

Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)

Z = ( x- μ )

=  (σ / [tex]\sqrt{n}[/tex])

=  10.5 / 5

=  2.1

The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.

To know more about Probability and Statistics, check out:

https://brainly.com/question/10734660

#SPJ1

the bakery department at ralphs wants to make 3 loaves of banana bread but the recipe only makes 1 loaf

Banana bread recipe -
1 loaf

1/2 cup butter
3/4 cup brown sugar
2 eggs
2 1/4 cups flour
1 teaspoon baking soda
1/4 teaspoon salt
3 ripe bananas

How much of each ingredient will the bakery department need in order to make 3 banana bread Loaves?

Answers

The ingredient will the bakery department need in order to make 3 banana bread Loaves is 3/2 cup butter, 9/4 cup brown sugar, 6 eggs, 27/4 cups flour, 3 teaspoon baking soda, 3/4 teaspoon salt, and 9 ripe bananas.

What is multiplication?

The fundamental concept of making the same number of additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors.

Given:

The ingredient for the 1 loaf of bread,

Butter = 1/2 cups,

Brown sugar = 3/4 cups,

Eggs = 2,

Flour = 2 1/4 cups,

Baking soda = 1 teaspoon,

Salt = 1 / 4 teaspoon,

Ripe bananas = 3

To make 3 banana bread loaves, we have to multiply the ingredient by 3,

Thus, the ingredients for 3 3 banana bread loaves will be,

Butter = 1/2 × 3 = 3/2 cups

Brown sugar = 3/4 × 3 = 9/4 cups,

Eggs = 2 × 3 = 6,

Flour = 2 1/4 = 9 / 4 × 3 = 27 / 4 cups,

Baking soda = 1 × 3 = 3 teaspoons,

Salt = 1 / 4 × 3 = 3 / 4 teaspoons,

Ripe bananas = 3 × 3 = 9

To know more about multiplication:

https://brainly.com/question/1135170

#SPJ1

The answers are

A. Statement: FDC≈FAB Reason: SAS

B. Statement FDC~FBA Reason: AA

C. Statement FDC≈FBA Reason: SAS

D. Statement FDC~FAB Reason: AA

Can I get an answer as well as how it makes sense?​

Answers

Answer:

Step-by-step explanatihelpson:

is c hope it

Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.

Answers

What are variables ?

There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.

A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.

Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.

If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn

($130 - $50 =$80)  

I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80  ($8 per hour x 10 hours= $80 )

Chang and Carlotta method use different operations to simplify the expression in same order

Chang's method uses variable but Carlotta doesn't

Learn more about Variable from the link below

https://brainly.com/question/17344045

#SPJ1

Solve
e + 0.05 = 9.21

Answers

Answer: e = 9.16

Step-by-step explanation: Although it's not necessary, I would first get rid of the decimals by multiplying both sides of the equation by 100.

That gives is 100e + 5 = 921 which has no decimals.

Now just subtract 5 from each side to get 100e = 916 and

dividing both sides by 100 from here, e = 9.16.

This graph shows all the key characteristics of a particular polynomial function. Drag tiles to complete the function rule that could be represented by the graph

Answers

The function that can be represented by this graph is defined as follows:

f(x) = 2x³ + x - 3.

How to define the function?


The function is defined looking at the features of the graph.

The first feature which we look at is the y-intercept, as the graph of the function crosses the y-axis at y = -3, hence the function can be defined as follows:

f(x) = ax^n + x - 3.

The function has an inflection point, as it has a change in it's concavity, thus the function has a second derivative of the first degree, meaning that the function is of the third degree, that is:

n = 3.

The x-intercept is when the function crosses the x-axis, meaning that when x = 1, y = 0, then the leading coefficient a is obtained as follows:

0 = a + 1 - 3

a = 2.

Which means that the function rule can be given by:

f(x) = 2x³ + x - 3.

More can be learned about functions at brainly.com/question/24808124

#SPJ1

in 12 years a man will be twice as old as he was 12 years ago . find his present age

Answers

His present age is 36 years.

Let his present age = x

Given,

2(x − 12) = x +12

2x - 24 = x + 12

2x - x =  12 + 24

x = 36

Therefore, his present age is 36 years.

To know more about the Calculation of ages, please refer to the link below:

brainly.com/question/24338087

if anyone can help me solve this i will give you 20 points!!

Answers

Answer:137

Step-by-step explanation:

The answer is 137 because you divide 548 by 4.
Other Questions
monetary policy, banks will discover that their reserves are below those required and that the federal funds rate has increased. Movements along versus shifts of demand curvesEvent:A change in the expectations of consumers about prices.A decrease in the number of consumers.An increase in the price of donuts.An increase in the number of consumers.A change in tastes of consumers that makes them desire more hot dogs.A decrease in the price of hot dogs.A decrease in the price of cereala change in tastes of consumers that makes them desire more cerealan increase in the price of milk (a complement for cereal)shift; shift; movement alongshift; shift; movement alongMovement along; shift, shiftThe demand curve for donuts shows the relationship between the price of donuts and the quantity of donuts demanded by consumers, assuming that all of the determinants of demand are held constant. The following list displays determinants of demand, which are the factors that affect the quantity of donuts consumers want to buy at a given price: price of a related good (complement or substitute), income of consumers, tastes of consumers, number of consumers, expectations of consumers. How does the weight on a bicycle affects the force required to affect its motion? Please help asapFrom Mother to Son by Langston HughesThinking about the other texts we've read in this unit, which character would agree with the mother that life has been hard, but you have to keep going? Explain why or how? what are the three strategy of cube roots i need explanation pls Which of the following statements about sister chromatids is FALSE?A. They are identical copies.B. They are duplicated chromosomes.C. They are attached at their centromeres.D. They are separated during mitosis.E. They replicate during prophase, ryan is in the process of making critical decisions regarding production operations. he has been tasked with deciding to purchase a machine which will replace 7 employees or keep the 7 employees and train them to increase productivity. he needs an answer for the human resources team in two days. what concept is ryan facing? Derive the evolutionary equation for debt-to-GDP ratio from the government budget constraint and explain how to reduce it (I've attached a picture of in class notes) A recent survey, 35 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of ten people and ask them to name their favorite flavor of ice cream. a. How many of those in the sample would you expect to name chocolate? b. What is the probability exactly four of those in the sample name chocolate? c. What is the probability four or more name chocolate? 10. use the division algorithm to divide 116 by 3, and then, based on your work, determine which of the following statements is true. (a) q given a class named animals and a class variable named ducky which will reference an animals object, which is the correct way, using the textbook's pseudocode, to create an animals object? most students have an identity, an interest, or a talent that defines them in an essential way. tell us about yourself. Our sense of taste originally was thought to involve only the following four sensationsA) sweet, salty, starch, and bitter.B) salty, fatty, bitter, and sweet.C) sour, bitter, sweet, and starchy.D) bitter, sweet, sour, and salty.E) fruity, fatty, silky, and coarse. Ducto is a small company in Aurora, CO that makes duct-tape wallets. Ducti discovered that there is a large demand for these type of wallets and has, in fact, decided to expand its product line to include bags as well. Clearly, some consumers have a favorable evaluation of Ducti products. To have a favorable evaluation, the first step for consumers is 1-36) what is the sum of 2 + (1/5 + 1/5 + 1/5 +...,.. +... 1/(5 to power n) ..)help how if dr. marshall quietly watches mateo play in the corner with toys in order to observe his behavior and make a diagnosis, he is utilizing Use spherical coordinates. EvaluateB(x2+y2+z2)2dVB(x2+y2+z2)2dV,where B is the ball with center the origin and radius 1. if you are in a car with a helium balloon in the middle of the back seat and you turn left, which way does the balloon move and why? physics.stackexchange Which of the following statements is a reasonable explanation for why unsaturated fatty acids help keep a membrane more fluid at lower temperatures?a) The double bonds form kinks in the fatty acid tails, preventing adjacent lipids from packing tightly.b) Unsaturated fatty acids have a higher cholesterol content, which prevents adjacent lipids from packing tightly.c) Unsaturated fatty acids are more nonpolar than saturated fatty acids.d) The double bonds block interaction among the hydrophilic head groups of the lipids What is the equation of the circle shown on the graph