The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
What is a variable?It is a symbol standing in for an unknown numerical value in an equation.
The general form of a one variable linear equation is given by
ax+b = 0
where a and b are two integers, and x is the variable
The one-variable linear equation has only one solution.
Hence, the equation in the form ax+b = 0 is known as a one-variable linear equation.
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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
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
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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?
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
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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
Answer:
y=7x
Step-by-step explanation:
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
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.
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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?
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 = hThe 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
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NEED THIS ANSWERED ASAP!! NEED ALL ANSWERS! FIRST GETS BRAINLIEST!!
Answer:
AGDB
Step-by-step explanation:
1: 1 is alternate interior because the angles are on opposite sides of the interior of the transversal. (A)
2: 2 is alternate exterior because the angles are on opposite sides of the exterior of the transversal. (G)
3: 3 is same-side interior because the angles are on the same side of the interior of the transversal. (D)
4: 4 is same-side exterior because the angles are on the same side of the exterior of the transversal. (B)
watch your cholesterol: the mean serum cholesterol level for u.s. adults was 196 , with a standard deviation of 36 (the units are milligrams per deciliter). a simple random sample of 104 adults is chosen. use the ti-84 calculator. round the answers to four decimal places. what is the probability that the sample mean cholesterol level is greater than 205 ? the probability that the sample mean cholesterol level is greater than 205 is
The probability that the sample mean cholesterol level is greater than 205 is 0.62%.
To find the probability that the sample mean cholesterol level is greater than 205, we need to use the standard normal distribution and the formula for a normal distribution.
The sample mean cholesterol level, μ, is the population mean cholesterol level, 196, and the standard deviation of the sample mean, σ, is the standard deviation of the population divided by the square root of the sample size:
μ = 196
σ = 36 / √104 = 3.17
We want to find the probability that the sample mean cholesterol level is greater than 205, so we need to find the area under the curve of the standard normal distribution to the right of z = (205 - 196) / 3.17 = 2.5.
We can use the TI-84 calculator to find this probability by using the normal cdf function. In the function, we enter 2.5 as the lower bound and infinity as the upper bound to find the area under the curve to the right of z = 2.5.
The probability that the sample mean cholesterol level is greater than 205 is about 0.0062, or 0.62%.
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12.10p +5.25
11.75p+7.50
Is this no solution
Answer:
I can't see a solution from what you have given us
if anyone can help me solve this i will give you 20 points!!
Answer:137
Step-by-step explanation:
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?
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.
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10.
Manny took AABC and translated it according to (x,y)→(x+2,y-3).
What are the points of AA'B'C'?
the points of AA'B'C' is A'(4,0) B'(5,-1) C'(7,-2)
What are the points of AA'B'C'?Solution:
x, y = 0
(x + 2, y - 3) = 0
x + 2 = 0
x = -2
y - 3 = 0
y = 3
AABC
A(2,3) B(3,2) C(5,1)
A: (2,3) → (2+2,3-3) = (4,0)
B: (3,2) → (3+2,2-3) = (5,-1)
C: (5,1) → (5+2,1-3) = (7,-2)
AABC and A'B'C are equivalent. A student attempts to identify which of these straightforward transformations converted AABC into AA'B'C'. Points A and Bare are situated on sides CE and ED, respectively, in the CED as shown below. Given that AE = 3.75, AC = 5, EB = 4.5, and BD = 6, line segment AB is drawn. A"B"C" is a triangle congruent to ABC if T is the identity or a translation. A"B"C" is a triangle if T is a rotation by angle x but not a halfturn.To learn more about points refer to:
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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.
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.
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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
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]
Is this statement true or false?
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.
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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.
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.
What is the process of the federal congress to making a law
Answer:
The Bill Begins. Laws begin as ideas.
The Bill Is Proposed. When a Representative has written a bill, the bill needs a sponsor.
The Bill Is Introduced.
The Bill Goes to Committee.
The Bill Is Reported.
The Bill Is Debated.
The Bill Is Voted On.
The Bill Is Referred to the Senate
Step-by-step explanation:
ACSA Governmental Relations staff tracks hundreds of education related bills through the legislative process from introduction through to the Governor’s signature or veto of the bill. We bring most of these bills to ACSA’s Legislative Policy Committee to take positions on behalf of ACSA. Once these positions are set by the Committee, ACSA Governmental Relations staff begins advocating for or against the bill in accordance with the position taken.
When necessary and at key points in the legislative process, we will take our advocacy efforts back to you and ACSA’s membership by sending “Action Alerts” asking you to either send a letter or make a phone call to your legislative representatives and/or policy or fiscal committee members advocating ACSA’s position on the legislation in question. It is important that you respond to “Action Alerts” as quickly as possible as legislation is quickly moving through the process, making most of these alerts time sensitive.
find the number of different ways that an instructor can choose 3 students from a class of 24 students for a field trip.
There are 2024 ways in which the instructor can choose 3 students from a class of 24 students for the field trip.
A combination is a mathematical technique for calculating the number of possible arrangements in a set of items where the order of the selection is unimportant.You can choose the items in any order in combinations.
Permutations and combinations are often confused. In permutations, however, the order of the selected items is critical. For example, the arrangements ab and ba are equal in combinations (considered as one arrangement), but different in permutations.
There is a way you can calculate combinations using a formula. This formula is:
[tex]nC_r = \frac{n! }{ r!(n-r)! }[/tex]
where
n = total no. of items;
r = items selected for the combination;
"!" is the factorial
Given,
Total number of students in class , n = 24
Number of students selected, r = 3
So, the number of ways that 3 students can be selected from 24 students is
[tex]24C_3=\frac{24 !}{3!(24-3) !}\\\\=\frac{24 !}{3!*21 !}\\\\=\frac{3!*24*23*22*21 !}{3!*21 !}\\\\=\frac{24*23*22}{3*2*1}\\\\=2024[/tex]
Hence, the students can be selected in 2024 ways for the field trip.
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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?
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 |
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
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?
Answer:
Step-by-step explanatihelpson:
is c hope it
Consider the function
What is
f(x) = -2/3x + 5.
ƒ ( − 1/2 )
?
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 :)
What is the volume of the following rectangular prism?
Answer:
Below
Step-by-step explanation:
The volume will be the end AREA X Length
7 1/3 units^2 X 2 units = 14 2/3 units^3
-4x+y=-6 slope intercept form
Answer:y=4x-6
Step-by-step explanation: slope intercept form is y=mx+b
1st: add -4 to both sides of the equal sign
-4x+y=-6
+4x+y=-6+4x
2nd: rewrite equation to look like
y=4x-6
Answer:
y = 4x - 6
Step-by-step explanation:
Now we have to write,
→ The equation in slope-intercept form.
The equation is,
→ -4x + y = -6
The slope-intercept form is,
→ y = mx + b
Let's rewrite the equation,
→ -4x + y = -6
→ y = -6 + 4x
→ [ y = 4x - 6 ]
Hence, the answer is y = 4x - 6.
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
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.
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Please help brainliest
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.
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Help me aspp please before 11:59 pm
four cubes of volumes $1 \text{ cm}^3$, $8 \text{ cm}^3$, $27 \text{ cm}^3$, and $125 \text{ cm}^3$ are glued together at their faces. what is the number of square centimeters in the smallest possible surface area of the resulting solid figure?
Answer: 194
Step-by-step explanation:
From the volumes, we deduce that the side lengths of the cubes are 1 cm, 2 cm, 3 cm, and 5 cm. We position the cubes as follows:
[asy]
unitsize(0.5 cm);
draw((0,0)--(5*dir(-30))--(5*dir(-30) + 5*dir(30))--(10*dir(-30))--(5*dir(-30) + 5*dir(-90))--(5*dir(-90))--(0,0));
draw((5*dir(-30))--(5*dir(-30) + 5*dir(-90)));
draw((0,0)--(0,2)--((0,2) + 2*dir(-30))--(2*dir(-30)));
draw((0,2)--((0,2) + 2*dir(30))--((0,2) + 2*dir(30) + 2*dir(-30))--(2*dir(30)));
draw((2*dir(-30))--(2*dir(-30) + dir(30))--(2*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,2)));
draw((2*dir(-30) + dir(30))--(3*dir(-30) + dir(30))--(3*dir(-30) + dir(30) + (0,1))--(2*dir(-30) + dir(30) + (0,1)));
draw((3*dir(-30) + dir(30) + (0,1))--(3*dir(-30) + 2*dir(30) + (0,1))--(2*dir(-30) + 2*dir(30) + (0,1)));
draw((2*dir(30) + (0,2))--(2*dir(30) + (0,3))--(2*dir(30) + 3*dir(-30) + (0,3))--(2*dir(30) + 3*dir(-30))--(dir(30) + 3*dir(-30)));
draw((2*dir(30) + (0,3))--(5*dir(30) + (0,3))--(5*dir(30) + 3*dir(-30) + (0,3))--(5*dir(30) + 3*dir(-30))--(5*dir(30) + 5*dir(-30)));
draw((3*dir(-30) + 2*dir(30))--(3*dir(-30) + 5*dir(30)));
draw((3*dir(-30) + 2*dir(30) + (0,3))--(3*dir(-30) + 5*dir(30) + (0,3)));
[/asy]
The surface area of a cube with side length $s$ is $6s^2$, so the total surface area of the cubes is $6 \cdot 1^2 + 6 \cdot 2^2 + 6 \cdot 3^2 + 6 \cdot 5^2 = 234$.
Note that every pair of cubes touches, and furthermore, they have maximum contact. (This is why this solid has the smallest possible area.) The area of contact of the 1-cube and the 2-cube is 1 square centimeter, so we must subtract this twice from 234 (because this portion of the area from both the 1-cube and 2-cube is not seen anymore).
Doing this for every pair of cubes, we find that the surface area of this solid is $234 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 1^2 - 2 \cdot 2^2 - 2 \cdot 2^2 - 2 \cdot 3^2 = \boxed{194}$.
what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5
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.
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the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.
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.
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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.
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
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