Find the constant of proportionality (unit rate) for each set of values

profit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50

Answers

Answer 1

Answer: 1.5

Step-by-step explanation:

7.50/5 = 1.5

15/10 = 1.5

22.50/15 = 1.5

Answer 2

Answer:

$1.50

Step-by-step explanation:

To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.

7.50 / 5 = $1.50

15 / 10 = $1.50

22.50 / 15 = $1.50

Best of Luck!


Related Questions

5. Solve the system of equations.
x + y = 6
2x - y = 9

Answers

first, solve for x
x + y = 6
+
2x - y = 9
——————
3x = 15
x = 5

then just substitute that into one of the equations

(5) + y = 6
y = 1

then make into an ordered pair (x,y)
(5, 1)

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 40% of one-night visitors buy a unit, and 40% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit

Answers

Answer:

0.143.

Step-by-step explanation:

The first step to take in answering this question is to take or determine the probability in each cases, multiply and sum them up. Therefore, let us delve right into the solution of this problem;

[a]. Historical data indicates that 20% of all potential purchasers select a day visit. Thus, the probability that potential purchasers selects a day visit = 0.20.

[b]. Historical data indicates that 50% choose a one-night visit.  Thus, the probability that potential purchasers selects a one-night visit= 0.50.

[c]. Historical data indicates that 30% of all potential purchasers opt for a two-night visit. Thus, the probability that potential purchasers  opt for a two-night visit = 0.30.

[d].Historical data indicates that 10% of day visitors ultimately make a purchase. Thus, the probability that a day visitors ultimately make a purchase = 0.1.

[e]. The probability for  40% of one-night visitors buy a unit =0.4

[f]. The probability for  40% of two nights decide to buy =0.4.

STEP ONE: Determine the probability that the visitor makes a purchase.

The probability that the visitor makes a purchase = [a] × [d] + [b] × [e] + [c] × [f]. = 0.2 × 0.1 + 0.5 × 0.4 + 0.3 × 0.4 = 0.02 + 0.02 + 0.12 = 0.14.

STEP TWO: Determine How likely is it that this person made a day visit.

0.2 × 0.1/ 0.14 = 0.1428571428571429

What is the slope of the line that passes through the pair of points of (1,7),(6,0)

Answers

Answer: -7/5

Step-by-step explanation:

Use the slope formula. Change in y divided by the change in x

(0-7)/(6-1) = -7/5

Brainliest would be appreciated

The linear parent function is always (increasing/decreasing).

Answers

Answer:

I'm pretty sure it's increasing

Step-by-step explanation:

because the linear parent function is x=y, no negative signs

Answer:

Increasing

Step-by-step explanation:

Are the ratios 9:7 and 2:1 equivalent?

Answers

Answer:

no they are not

Step-by-step explanation:

9:7 / 2:1 = 4.61904762

Answer:

9:7 and 2:1 should not be equivalent.

Step-by-step explanation:

Ratios are similar to fractions, if the ratios, 9:7 and 2:1 are to be put into fraction form, they would not equal the same thing.

9:7 = [tex]\frac{9}{7}[/tex]

2:1 = [tex]\frac{2}{1}[/tex] = 2

As shown above, they do not equal the same thing, this also goes for their decimal form and so on.

one last question please

Answers

Answer:

B

y = -4x

Step-by-step explanation:

PLZ mark brainliest

What is an equation in standard form of the line that has x-intercept 1 and y-intercept 4?

Answers

Answer:

  4x +y = 4

Step-by-step explanation:

The intercept form of the equation for a line is ...

  x/x-intercept +y/y-intercept = 1

For the given intercepts, this is ...

  x/1 +y/4 = 1

Multiplying by 4 gives the standard-form equation:

  4x +y = 4

Pam walks 7/8 of a mile to school. Paul walks 1/2 of a mile to school. How much farther does Pam walk than Paul?

Answers

Answer:

Pam walks 3/8 of a mile more than Paul.

Step-by-step explanation:

solve D

6d-11/2=2d-13/2

Answers

Answer:

d = -1/4 or -0.25

now that i helped you can you go follow my twitch KayduxTV

Step-by-step explanation:

Answer:

d= -1/4

Step-by-step explanation:

First: subtract 2d from each side so you end up with 4d-11/2=-13/2

Second: next add 11/2 to both sides so you end up with 4d=-1

last: divide each by 4 to get d by itself

your final amswer is d=-1/4

please help! The height of a plant is increasing at a rate of 3 centimeters every 2 days. At this rate, how many centimeters does the height increase in 14 days? *

Answers

Answer:

21 cm increase over 14 days

Step-by-step explanation:

14 days / 2 days = 7 days.

3 cm every 2 days * 7 days =

3 * 7 = 21 cm

The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.

Answers

Answer:

Step-by-step explanation:

We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.

Let R(x) = 300x-2x²

C(x) = 5000+4x

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

Rearrange:

P(x) = -2x+300-4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Note that the functions are assumed. Use this concept to solve your real question

If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Here, We can assume revenue and expenses.

Let R(x) = 300x - 2x²

C(x) = 5000 + 4x

How do you calculate revenue profit?

It is the difference between the total revenue and the total expenses.

Profit = Revenue - Cost

P(x) = R(x) - C(x)

P(x) = 300-2x - (5000+4x)

Expand

P(x) = 300-2x-5000 - 4x

P(x) = -2x + 300 - 4x  - 5000

P(x) = -6x- 4700

The profit function is P(x) = -6x-4700

For  the company to break even, R(x) = C(x)

300-2x = 5000+4x

300-5000 = 4x+2x

6x = -4700

x = -4700/6

x = -783 units

Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.

Learn more about revenue profit here:

https://brainly.com/question/13128315

What are the x-intercepts of the graphed function?

Answers

Answer:

(1,0) and (-3,0)

Step-by-step explanation:

It is because at those points on the graph is where the graphed function crossed the x-axis.

You need a 15% alcohol solution. On hand, you have a 180 mL of a 45% alcohol mixture. How much pure
water will you need to add to obtain the desired solution?
You will need
mL of pure water
to obtain
mL of the desired 15% solution.
Submit Question

Answers

Let x be the amount of pure water that you use.

The solution you have contains 0.45 • 180 mL = 81 mL of alcohol.

However much water you use, it won't add any alcohol to the solution, so only its total volume changes. Its new volume would be (180 + x) mL. You want the new solution to have a concentration of 15% so that

(81 mL) / ((180 + x) mL) = 0.15

Solve for x :

81 / (180 + x) = 0.15

81 / 0.15 = 180 + x

540 = 180 + x

x = 360

Then the new solution will have a total volume of 180 mL + 360 mL = 540 mL.

So you need to use 360 mL of pure water to get 540 mL of 15% solution.

Urgent help plzzzzzzz

Answers

Answer:

What is the question?

Step-by-step explanation:

Answer at least one question below. (PLEASE HURR, I WILL GIVE 5 STARS TO THE PEOPLE WHO ANSWER A QUESTION)


1) What is the value of x that satisfies the

inequality below? 25, 100, or 101

x/4 > 25


2) What is the value of x that satisfies the

inequality below? -6, -2, or 2

.7x + 2.8 ≥ −1.4


3) What is the solution to the inequality

below? Graph the solution

3x > 21


4) Demarcus wants at least $18 to buy a

shirt. He already has $4. Write

the inequality that could be used to find

how much more money, m, Demarcus

needs?


5) Timothy wants to buy a shirt for $25.75.

He has $19.25. What is the minimum

amount he must earn to be able to

buy the shirt?


6) There are 60 members in the school

glee club. The glee club needs to raise

at least $5,000 for a trip to a national

competition. The school agreed to

contribute $1,000 toward the trip.

Which of the inequalities below shows

the amount of money that each glee

club member needs to raise to help

pay for the trip?


7) 2x – 4 ≤ 12


8) n – 19 ≥ - 27


9) x/ -6 +2 > 1


10) x + 8 ≥ 12 & graph


11) -7x – 5 25

Answers

Answer:

I believe the answer to #5 is $6.50.

Step-by-step explanation:

25.75-19.25=6.50

solve for y.
[tex]y + 10x = 3[/tex]
[tex]y + 10x = 3[/tex]

Answers

Y+10x=3

Y=3-10x

Hope this helped :)

How do you solve (4x+9)(2x-4)?

Answers

Answer:

8x^2+2x-36

Step-by-step explanation:

Use foil method

Answer:

10x-36

Step-by-step explanation:

so you are going to use the distributive property.

Write an equation for the description.
Tanmayi wants to raise $150 for a school fundraiser. She has raised $120 so far. How much more does she
need to reach her goal? Let m be how much more is needed.
Plzzzz hellpppp

Answers

Tanmayi will need $30 more to reach her goal.

$120 + n = $150

$150 - $120 = 30

n = 30

Find the value of x

Answers

Answer:

We know that the area of a triangle is:

1/2 * base * height

We are given:

base = x + 6

height = x

area = 108 m^2

Applying the formula:

Area  = 1/2 * base * height

108 = 1/2 * x * (x + 6)

x² + 6x = 216

x² + 6x - 216 = 0

x² + 18x - 12x -216 = 0   (Splitting the middle term)

x(x + 18) - 12(x + 18) = 0

(x + 18) (x - 12) = 0

Hence, we have 2 possible values for x:   -18 or 12

Since taking x as -18 will result in the length of sides of this triangle to be negative, -18 is NOT the value of x

Therefore, x = 12

Jim has 3 apples. Mary takes 2. How many apples does Jim have now? PLZ HELP THIS IS IN MY HIGH SCHOOL MATHBOOK AND I DONT KNOW THE ANSWER.

Answers

Answer:

1

Step-by-step explanation:

3-2=1

Answer:

Jim has 3

Mary takes 2

Remaining apple=3-2 =1

thus, Jim has 1 apple jeft

In school ,there are 3 girls for every 2 boys . There are 650 students in total . How many students are girls

Answers

Answer:

390 girls.

Step-by-step explanation:

[tex]\frac{3}{5}[/tex] of 650 is 390.

A ratio shows us the number of times a number contains another number. The number of girls in the school will be equal to 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that in the school, there are 3 girls for every 2 boys. Therefore, the ratio of girls to boys in the school can be written as,

Ratio = Girls / Boys = 3 / 2

Now, as per the ratio of the girls to boys, we can assume that the number of girls and boys in the school are 3x and 2x, respectively.

Further, given that the total number of students in the school is 650. Therefore, the total number of students can be written as,

Number of boys + Number of girls = 650

3x + 2x = 650

5x = 650

x = 130

Thus, the number of girls in the school can be written as,

Number of girls = 3x

                         = 3 (130)

                         = 260

Hence, the number of girls in the school will be equal to 260.

Learn more about Ratios:

https://brainly.com/question/1504221

#SPJ2

Figure A is a scale image of Figure B, as ahown.


The scale that map Figure A onto Gigure B is 1:3 1
-
2
Enter the value of X ​

Answers

Answer:

x = 15

Step-by-step explanation:

1:3 is also known as 3.

Any scale factor that is greater than 1 will be an increased dilation of the shape.

Figure A to Figure B:

5 • 3 = x

x = 15

If the modulus is 4 and the real part is –2.0, what is the imaginary part?

Answers

Answer:

3.5

Step-by-step explanation:

edgenuity2020

Answer:

B 3.5

Step-by-step explanation:

Sally's class went to the zoo. Out of the 24 students at the zoo, 5/8 wanted to see the penguin exhibit. How many students wanted to see the exhibit?

Answers

Answer:

15 kids wanted to see the penguins

Step-by-step explanation:

get the denominator to 24 by multiplying the top and bottom by 3. (3×5=15)

if a car travels 400 meters in 20.5 seconds how fast is it going

Answers

Answer:

The car is going 43.6475 mph

Step-by-step explanation:

4) A B с D 2 2 If these numbers are ordered from least to greatest, at which letter will be located? A) A B) B. © C D) D​

Answers

Answer: C

Step-by-step explanation: (1/5 in decimal form is 0.2) (25% in decimal form is 0.25) (then u got 1.3 and) (2/7 in decimal form is (0.28 so A= least D= greatest) A: least, B: middle C: to, D: greatest

so A: 1/5, B: 25% C: 2/7 D: 1.3

so your answer to this question is D

in order to find the biggest decimal you'll have to see which number is bigger in front of the decimal and if there is no number infront look right behind it, D is the greatest because 1.3 is another way of saying 1 whole and 1/3 but besides the point your answer is C

What steps should be used to find 55% of 300

Answers

Answer:

165

Step-by-step explanation:

55/100 = 0.55

0.55x300= 165

Answer:

165

Step-by-step explanation:

I know this cause i got it right

Work this problem
9.215 -627




Answers

Answer:

−617.785

Step-by-step explanation:

-617.785 should be your answer

Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-coordinate of 3?
(will give brainliest if right)
A. −3
B. −2
C. 2
D. 3

Answers

Answer:

-3

Step-by-step explanation:


Kalib rented a car for 5 days while on vacation in Miami. His total bill was $279. How much
the rental car cost him each day?

Answers

Answer:

he would pay 55.8 dollars each day for 5 days

Step-by-step explanation:

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