Answer:
Well, nothing because you didn't say how much money you make a day, a week, or a month.
Step-by-step explanation:
You tried to trick me haha <3
Jin went to the grocery store and bought bottles of soda and bottles of juice. Each
bottle of soda has 25 grams of sugar and each bottle of juice has 15 grams of sugar.
Jin purchased a total of 16 bottles of juice and soda which collectively contain 300
grams of sugar. Graphically solve a system of equations in order to determine the
number of bottles of soda purchased, x, and the number of bottles of juice
purchased, y.
Answer: x = 6, y = 10; as a point, that would be (6, 10).
Step-by-step explanation:
To do it graphically, you would just graph the equations 25x + 15y = 300 and x + y = 16. Then, you would find the intersecting point.
To do this, you should convert to point-slope format.
15y = -25x + 300 and x + y = 16
1) y = -5/3x + 20 and 2) y = -x + 16
Now, for equation 1, you start at the y-intercept (0, 20) and for every increase of 1 on the x-axis, you decrease -5/3 on the y-axis. To graph this in the software, you click on the point (0, 20) and on another point on the line y = -5/3x + 20. (Any will do, but it should be an integer. (3, 15) works.)
Do the same for equation 2. Start at the y-intercept (0, 16) and decrease 1 for every increase of 1 on the x-axis.
Look for the point(s) where the lines intercept. It is (6, 10). If you have the time, you can verify this algebraically.
9. If the perimeter of the square above is 24, what is the area of the circle? Leave your answer
in terms of pi.
The area of the circle would be 36π.
What is the area of a circle?
If the circle has a radius then the area of the circle can be computed by using the formula
area = π * radius²
The perimeter of the square = 24
4 * side = 24
Side of a square = 24/4 = 6
Side of a square = radius of the circle
Substituting the radius of 6 into this formula gives:
area = π * 6²
Which simplifies to:
area = π * 36
Hence, the area of the circle would be 36π.
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19. Find the surface area of the cylinder. Give your answer to two decimal places.
Answer:
1155.52cm²
Step-by-step explanation:
A cylinder's volume is π r² h, and its surface area is 2π r h + 2πr²
radius(r) = 8cm
π = 3.14
height(h) = 15
2πrh + 2πr²
=2πr(h + r)
= 2 × 3.14 × 8 ( 15 + 8)
= 50.24(23)
= 1155.52cm²
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you decide to record the hair colors of people leaving a lecture at your school. what is the probability that the next person who leaves the lecture will have gray hair? express your answer as a simplified fraction or a decimal rounded to four decimal places.
The probability that the next person who leaves the lecture will have gray hair is 45/163 or 0.2760.
What is Probability?
Probability is the ratio of favorable outcomes to all other potential outcomes of an event. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
To calculate the likelihood that the next person to leave the lecture will have grey hair, one must first make an assumption about the distribution of hair colors among those in attendance. The data of the distribution of hair colors of people in the lecture are assumed below:
Blonde Red Brown Black Gray Total
24 32 29 33 45 163
The Probability of the number of people with grey hair to the total number of students in the class is used to calculate the likelihood that the next person to leave the lecture will have grey hair.
P(Gray) =45÷163 =0.2760
So therefore, the probability is 45/163 or 0.2760.
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-2(2x-3)=-22 i dont get it
Two occupations predicted to greatly increase in number of jobs are pharmacy technicians and network systems and data communication analysts. The number of pharmacy technician jobs predicted for 2003 through 2014 can be approximated by 7.4x-y=-254 The number of network and data analyst jobs for the same years can be approximated by 12.4x-y=-231. For both equations, x is the number of years since 2003 and y is the number of jobs in thousands.
a. Use addition method to solve the following system of equations
{7.4x-y=-254
{12.4x-y=-231
The solution, rounded to the nearest whole number is: ?
Pls help!!!
Number of years since 2003 x=5 years and number of jobs in thousand y=288.
What is addition method of algebra?In this method two equation are added or subtracted depending on the sign of variables. After adding or subtracting we create a new equation with one variable. Therefore, we easily get the solution.
Why is addition method called elimination method?while using addition method of algebra, we either add or subtract two equations to obtain a new equation by eliminating one variable. Hence, this method is called elimination method.
Given equation, 7.4x-y= -254
12.4x-y = -231
using addition method
-5x= -23
after solving x=4.6
x= 5 (nearest whole number)
y = 288.04
y =288
hence, number of years 5
number of jobs in thousand =288
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In △QRS , ∠R is a right angle.
If
QS
= 20 and m∠Q = 49° , what is the length of
QR
?
HELP IM TAKING MY GEOMETRY FINAL AND I DONT KNOW ANYTHING
Answer:
Bellow
Step-by-step explanation:
QS =√c2 - b2
= √202 - 15.0941916044552
= √172.16537980799
= 13.12118
Please help meee !!!??
its A
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A random sample of 100 people was taken. eighty-five of the people in the sample favored candidate a. we are interested in determining whether or not the proportion of the population in favor of candidate a is significantly more than 80%. the test statistic is?
Answer:
Step-by-step explanation:
Sorry if this is different, but based on what I read, here is the answer.
100 x 0.85 = 85
therefor it is 85%, which is significantly more than 80%
show that the picture and board aren't mathematically similar (diagram below)
Answer:
See below
Step-by-step explanation:
If the figures were similar the corresponding sides would be proportional.
[tex]\frac{10}{12}[/tex] = [tex]\frac{8}{10}[/tex] This statement would be true if the sides were proportional, but it is not true. Cross multiply.
10(10) ≠ (8)(12)
100≠96
Luis typically eats 4 1/4 ounces of fruit each day. Today he ate his usual amount. Write each answer as a fraction and as a decimal. Use bar notation is necessary.
Answer:
Fraction: 4 1/4 = 17/4
Decimal: 17/4 = 4.25
Step-by-step explanation:
Let f(x) be a 4th-degree polynomial function with zeroes 1,-1, and 3-i. If f(0)=20, write the equation in:
a) Factored form
b) Standard form
The polynomial expression are P(x) = (x - 1)(x + 1)[(x - 3)² + 1] and P(x) = x⁴ - 6x³ + 9x² + 6x - 10
How to determine the polynomial expression?Factored form
The given parameters are
Degree = 4Zero = 1,-1, and 3-iThere are complex numbers in the above zeros
This means that, the other zero is
Zeros = 3 + i
The equation of the polynomial is then calculated as
P(x) = Leading coefficient * (x - zero)^multiplicity
So, we have
P(x) = (x - 1) * (x + 1) * (x - (3 + i)) * (x - (3 - i))
This gives
P(x) = (x - 1) * (x + 1) * (x - 3 - i) * (x - 3 + i)
Evaluate the products
P(x) = (x - 1) * (x + 1) * [(x - 3)² - (i)²]
So, we have
P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]
P(x) = (x - 1)(x + 1)[(x - 3)² + 1]
The standard form
In (a), we have
P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]
Expand
P(x) = (x² - 1) * (x² - 6x + 9 + 1)
So, we have
P(x) = (x² - 1) * (x² - 6x + 10)
Remove the brackets
P(x) = x⁴ - 6x³ + 10x² - x² + 6x - 10
Evaluate the like terms
P(x) = x⁴ - 6x³ + 9x² + 6x - 10
Hence, the equation is P(x) = x⁴ - 6x³ + 9x² + 6x - 10
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On a team,8 girls and 5 boys devoted a total of 87 points. The difference between the number of points scored by the 8 girls and the number of points scored by the 5 boys is 57. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and boy
Answer:
Girls: 7 points each
Boys: 11 points each
Step-by-step explanation:
Given:NP=MP,NP PL prove NPL≈MPL
Which set of coordinates models the image of the triangle after a translation along <2, −9>?
A) M’(−5, 16), N’(−2, 13), P’(0, 15)
B) M’(−1, −2), N’(2, −5), P’(4, −3)
C) M’(−5, −2), N’(−2, −5), P’(0, −3)
D) M’(−1, 16), N’(2, 13), P’(4, 15)
Answer:
b
Step-by-step explanation:
i know
The solution is Option B.
The translation of triangle MNP along T < 2 , -9 > is
M’(−1, −2), N’(2, −5), P’(4, −3)
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
The notation for translation is T(h, k) where T is the translation, h is the change in the x-axis, and k is the change in the y-axis
Given data ,
Let the translated triangle be represented as ΔM'N'P'
Now , the translation rule is T < 2 , -9 >
Let the coordinates of the triangle ΔMNP be
The coordinates of M = M ( -3 , 7 )
The coordinates of N = N ( 0 , 4 )
The coordinates of P = P ( 2 , 6 )
Now , applying the translation rule of T < 2 , -9 > for the triangle MNP , we get
The coordinates of M' = M' ( -3 + 2 , 7 - 9 )
The coordinates of M' = M' ( -1 , -2 )
The coordinates of N' = N' ( 0 + 2 , 4 - 9 )
The coordinates of N' = N' ( 2 , -5 )
The coordinates of P' = P' ( 2 + 2 , 6 - 9 )
The coordinates of P' = P' ( 4 , -3 )
Hence , the coordinates of triangle M'N'P' is M’(−1, −2), N’(2, −5), P’(4, −3)
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The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to
clean 2 hamster cages.
Complete the table.
Minutes
15
Cages cleaned 2 4
Graph the data from the table.
Cages cleaned
20
18
16
14
12
10
8
30 55
•
90
8 10
The complete table will be;
Minutes 15 30
Cages cleaned 2 4
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Now,
Since, The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.
Hence, By definition of proportion we get;
Let the time to clean 4 hamster cages = x
So, We get;
⇒ 15 / 2 = x / 4
⇒ 15×4 / 2 = x
⇒ 30 = x
⇒ x = 30
Thus, It take 30 minutes to clean the 4 hamster cages.
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a biologist records the average weight of the brain and body for a number of mammal species the biologist uses the inequality [tex]60\leq 0.5x+2.5\leq 250[/tex] to determine the weight of the mammals whose brain weighs between 60 pounds(lb) and 250 lb. solve the inequality
The inequality is [tex]115\leq x\leq 495[/tex]
What is inequality?
A connection is termed an inequality if two real numbers or algebraic expressions are connected by the symbols ">", "<", "≥". Inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has non-equal expressions on both sides. It indicates that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa. Literal inequalities are relationships between two algebraic expressions that are expressed using the inequality symbols.
Given [tex]60\leq 0.5x+2.5\leq 250[/tex]
splitting the equation:
[tex]60\leq 0.5x +2.5[/tex] and [tex]0.5x +2.5\leq 250[/tex]
[tex]60-2.5\leq 0.5x\\57.5\leq 0.5x\\115\leq x\\x\geq 115[/tex]
also
[tex]0.5x +2.5\leq 250\\0.5x\leq 247.5\\x\leq 495[/tex]
therefore the equation is
[tex]115\leq x\leq 495[/tex]
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a poll shows that of all voters approve of the mayor's work. on three separate occasions a pollster selects a voter at random. what is the probability that on exactly one of these three occasions the voter approves of the mayor's work?
The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:
0.189 = 18.9%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of these parameters in the context of this problem are given as follows:
n = 3, p = 0.7.
Then the probability of exactly one success is calculated as follows:
P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.
Missing InformationThe proportion of voters that approve the mayor's work is of 70%.
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6 divided by 7.02 i need help
Answer: 0.85
Step-by-step explanation:
The required answer for long division for the decimal division of 6 divided by 7.02 is 0.8547 by rounded to four decimal places.
To perform long division for the decimal division of 6 divided by 7.02, follow these steps:
Step 1: Set up the division problem:
_______
7.02 | 6.00
Step 2: Place the decimal point directly above the division bar in the quotient:
0.
Step 3: Divide the first digit of the dividend (6) by the divisor (7.02). The result is 0.8547 (rounded to four decimal places).
Step 4: Multiply the divisor (7.02) by the quotient digit (0.8547) and write the result below the dividend, aligning the decimal points:
7.02
- 6.03
-----
0.99
Step 5: Subtract the result from the previous step from the dividend, and bring down the next digit (if any):
0.99
- 0.99
-----
0.00
Step 6: Since there are no more digits to bring down and the result is zero, we can conclude the division.
Therefore, the long division for the decimal division of 6 divided by 7.02 is 0.8547(rounded to four decimal places).
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evaluate 4.56×36÷0.12
Answer:
1,368
Step-by-step explanation:
4.56x36=164.16
164.16/0.12=1368
Answer:
1368
Step-by-step explanation:
1368
what is the total surface area of the triangular prism in square centimeters?
A 240 cm^2
B 368 cm^2
C 320 cm^2
D 344 cm^2
Answer:
D
Step-by-step explanation:
base area = (6 · 4)/2 = 24/2 = 12 cm²
half base length = 6 : 2 = 3 cm
leg = [tex]\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5[/tex] cm
perimeter = (5·2) + 6 = 10 + 6 = 16 cm
lateral area = 16 · 20 = 320 cm²
surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²
A photo is being resized to sell at a gallery. The original photo is 4 inches by 6 inches. Using the dimensions of 3 yds by 4.5 yds, find the scale factor.
The scale factor, if The original photo is 4 inches by 6 inches, and the new photo is 3 yards by 4.5 yards, is 1.8.
What is the scale factor?The ratio of one object's scale to that of a new object, which has its representation but is larger, is known as a scale factor (bigger or smaller).
Given:
The original photo is 4 inches by 6 inches, and the new photo is 3 yards by 4.5 yards,
Calculate the scale factor as shown below,
Scale factor = Original dimension / new dimension
Scale factor = (4 × 6) / (3 × 4.5)
Scale factor = 1.8
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maria has type b blood. she can safely receive blood transfusions from people with blood types o and b. what is the probability that a randomly chosen person from the united states can donate blood to maria?
The probability that a randomly chosen person from the united states can donate blood to maria is 0.50
considering blood to be of types A,B,AB and O
further all blood groups are equi probable
Probability of blood type A = probability of blood type B = probability of blood type AB = probability of blood type O = x
Probability of blood type A + probability of blood type B + probability of blood type AB + probability of blood type O = 1
⇒ 4x = 1
⇒ x = 1/4
Probability that a random person will have blood of type B or O = x+x
= 1/4 + 1/4
= 1/2
= 0.50
Hence we get the required answer.
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5. The roof drawn below is made up of six pieces of lumber and is symmetrical. There is 1
foot of overhang on both sides.
Use the dimensions given in the diagram, determine how much total lumber would be
needed to create this roof (i.e. how many feet of wood does it take to build this roof?).
It is a good idea to label all of the vertices before beginning (6 marks).
Answer:
72+20sqrt3
Step-by-step explanation:
check the attached file
Find the value of x using the picture
The value of x is 91/9.
What is the value of X triangle?
The two angles' combined angles are subtracted from 180 degrees. A triangle's total angles are always equal to 180 degrees. When you remove the total of the two angles from 180 degrees, note the difference you discovered. This is what X is worth. The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.
(9x+1)+ 88
Remove parentheses: (a)=a
9 x+1+88=180
Add the numbers: 1+88=89
9 x+89=180
Move 89 to the right side
9 x=91
Divide both sides by 9
[tex]\frac{9 x}{9}=\frac{91}{9}$$[/tex]
Simplify
[tex]x=\frac{91}{9}$$[/tex]
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Answer:
x = 5
Step-by-step explanation:
You want the value of x where one of the base angles in an isosceles triangle is marked (9x+1)° and the vertex angle is marked 88°.
Base angleEach base angle of an isosceles triangle is the complement of half the vertex angle. This one is ...
9x +1 = 90 -(88/2)
9x = 45 . . . . . . . . . . subtract 1
x = 5 . . . . . . . . . divide by 5
two stores sell identical sandwich rolls in different size packages, store A sells a six pack for $5.28 store B sells a four pack for $3.40, which store offers the better per-roll price
Store B offers better $0.85 per-roll price than store A.
What is division?One type of operation is division in mathematics. The phrases or numbers are divided into the same number of components during this operation.
Given, two stores sell identical sandwich rolls in different size packages.
Store A sells a six-pack for $5.28.
To find the unit price,
we take division of 5.28 with number 6.
The unit price of sandwich roll for store A,
= 5.28 / 6
= $0.88
To find the unit price of sandwich roll for store B,
we take division of 3.40 with number 4.
= 3.40 / 4
= $0.85
And $0.85 < $0.88.
Therefore, Store B offers better per-roll price.
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write an equation for the line for each graph
The equation of each of the lines are:
1. y = 1/3x - 1
2. y = 3x + 1
3. y = 2/3x - 1
4. y = 3x
5. y = -2/3x - 1
6. y = 1/3x - 1
7. y = -3x + 2
How to Write the Equation of a Line?To write the equation of a line, find the following:
Slope (m) = rise/runy-intercept (b) = the point where the line intersects the y-axis.1. Slope (m) = rise/run = 1/3
y-intercept (b) = -1.
To write the equation, substitute m = 1/3 and b = -1 into y = mx + b:
y = 1/3x - 1
2. Slope (m) = rise/run = 3/1 = 3
y-intercept (b) = 1.
To write the equation, substitute m = 3 and b = 1 into y = mx + b:
y = 3x + 1
3. Slope (m) = rise/run = 2/3
y-intercept (b) = -1.
To write the equation, substitute m = 2/3 and b = -1 into y = mx + b:
y = 2/3x - 1
4. Slope (m) = rise/run = 3/1 = 3
y-intercept (b) = 0.
To write the equation, substitute m = 3 and b = 0 into y = mx + b:
y = 3x
5. Slope (m) = rise/run = -2/3
y-intercept (b) = -1.
To write the equation, substitute m = -2/3 and b = -1 into y = mx + b:
y = -2/3x - 1
6. Slope (m) = rise/run = 1/3
y-intercept (b) = -1.
To write the equation, substitute m = 1/3 and b = -1 into y = mx + b:
y = 1/3x - 1
7. Slope (m) = rise/run = -3/1 = -3.
y-intercept (b) = 2.
To write the equation, substitute m = -3 and b = 2 into y = mx + b:
y = -3x + 2
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In circle C, mCG= 148°, mCD = 86°, and m∠EPF = 116°. What is the measure of arc FG?
Answer:
The measure of arc FG is 148°
Step-by-step explanation:
Since the measure of an arc is equal to the measure of the central angle that subtends it, and the measure of central angle CG is 148°, the measure of arc FG is 148°. This is because the arc FG is subtended by the central angle CG.
Josiah began earning an allowance each day. At the end of 6 days he buys a video game that costs $150 and has $102 left over. How much money does he earn each day in allowance
Answer:
42
Step-by-step explanation:
150+102=252
252/6=42
Bob lifts a 15N rock through a distance of 1.7m. How much work does Bob do
Bob lifts a 15N rock through a distance of 1.7m, 25.5 J work does Bob do
What is work done?An item should be converted to energy before being moved. The use of force is one way to transfer energy. The amount of energy used by a force to move an item is referred to as the work done.
The amount of the displacement and the component of the applied force of the object in the displacement direction is the work done by a force. Pushing a block with force "F" causes the body to move more quickly, meaning that work has been completed.
Work done (W) = F × s
Where, F = force
s = displacement
Now putting the values, we get-
or, W = 15 N × 1.7 m
or, W = 25.5 N-m or Joule
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