In 25 minutes Jezebel can run 10 laps around the track. Part I) Determine the unit rate for the number of laps she can run per minute. Part II) Find the constant of proportionality for this situation.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

a. Determine the unit rate for the number of laps she can run per minute.

This will be calculated as the number of minutes used divided by the number of laps which will be:

= 25 / 10

= 2.5 minutes per lap.

b. Find the constant of proportionality for this situation.

We will use the formula y = kx

where y = 25, x = 10, k = constant of proportionality.

Therefore, y = kx

25 = 10k

k = 25/10

k = 2.5

The constant of proportionality is 2.5


Related Questions

the sum of two numbers is 10 and their difference is 6​

Answers

(8,2) we’ll be your answer

120% of __________ is 78

Answers

120% of 65 is 78.

This means that 120 times what equals 78.

120*65=78

Answer:

65

Step-by-step explanation:

Determine if the function is even, odd, or neither.

Answers

Answer:

It is an even function.

f(t) = 2 cos πt

Thank you and please rate me as brainliest as it will help me to level up

Answer:

I think its odd as I guess.

GIVING BRAINLIEST PLZZ HELP ASAP

Answers

Answer:

D

Step-by-step explanation:

x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x

with our equation being y = 5x + 5

hope this helps <3

Answer:

Step-by-step explanation:

It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.

X increases by 1 and y increases by 5

I've attached a graph for you to see

If you have any further questions, don't be afraid to reach out! I hope this helps!

Ana mixed 1 cup of lemonade with 4 cups of cranberry juice to make her favorite punch. How much cranberry juice will she use for 5 cups of lemonade. PLEASE HELP ME ASAPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

20

Step-by-step explanation:

since for every 1 lemonade there is 4 cranberry you have 5 lemonade now so you need 4 cranberry for every one of the 5 lemonade, which gives you 20

Writing Linear Equations from Key Information slope = 3, y-intercept = −1

Answers

Answer:

y =  3x - 1

Step-by-step explanation:

55 pages in 25 minutes

Answers

2.2 pages per minute

I ONLY NEED THE ANSWER FOR C. THE OTHER TWO ARE CORRECT. PLEASE HELP :(

Answers

Answer:

1.2 I think sorry if I'm wrong double check to see

Step-by-step explanation:

This is what I thought of oof so sorry if it incorrect

Which lines have a y-intercept of 5? Check all that apply.
A: y=5x-1
B: 4x-8y=40
C: x-y=5
D: x-3y=15
E: 2x-y=10
F: 6x+4y=20

Answers

Answer:

F: 6x+4y=20

Step-by-step explanation:

Only line representing the equation 6x+4y=20 has y-intercept of 5.

The line that has the y-intercept = 5 is 6x + 4y = 20

What are intercepts?

The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.

The standard slope intercept form:

y = mx + b

Comparing the options A,C,D and E with standard form and none of the options have b = 5.

So these options are out.

Now the options B,

Simplify, y = x/2 - 5

Compare with slope intercept form, and this equation also does not have

the y intercept as 5.

Now option F;

simplify, 6x + 4y = 20

y = -3x/2 + 5

Comparing with standard form,

And b= 5

Therefore, The line that has the y-intercept = 5 is 6x + 4y = 20

To learn more about the intercepts;

https://brainly.com/question/14180189

#SPJ5

URGENT
The measure of one of the acute angles in a right triangle is 24. what is the measure of the other angle?

Answers

Answer:

do you have pictures and more measurements so i can solve the problem for you?

Step-by-step explanation:

The base of a right triangle is 2 meters greater than the height. If the area of the triangle is 100 m2, what are the dimensions of the base and the height?

Answers

Answer:

b = 15.2 m

h = 13.2 m

Step-by-step explanation:

The area of a right triangle is given by:

[tex] A = \frac{bh}{2} [/tex]    (1)

Where:

b: is the base

h: is the height

If the base is 2 meters greater than the height we have:

[tex]b = h + 2[/tex]   (2)

And if the area of the triangle is 100 m², the dimensions of the base can be found by entering equation (2) into (1):

[tex]100 m^{2} = \frac{(h + 2)*h}{2}[/tex]

[tex] 200 m^{2} = h^{2} + 2h [/tex]      

[tex] h^{2} + 2h - 200 m^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

[tex] h = 13.2 m [/tex]

And by entering the above value into equation (2) we have:

[tex]b = 13.2 + 2 m = 15.2 m[/tex]

Therefore, the dimensions of the base and the height are 15.2 m and 13.2 m respectively.

I hope it helps you!                            

sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. the sales tax for the order was $0.48. she paid for her breakfast with a $10 bill.
one egg = $1.69
slice of bacon = $1.49
glass of orange juice = $1.09
how much change should sara receive from the $10 bill?

Answers

Answer:

She should receive $3.56 from paying with a $10 bill

Step-by-step explanation:

The total cost of all her items including sales tax is

$6.44

You have to deduct this total cost from what she paid with.

$10.00 - $6.44 = $3.56

Therefore,

Sara should receive $3.56 from paying with a $10 bill.

Answer: $3.56

Step by step explanation:

1. Figure out how much the eggs cost. (1.69×2=3.38)

2. Add the price of the eggs, bacon, O.J., and sales tax together. (3.38+1.49+1.09+0.48=6.44)

3. Subtract the total ($6.44) by the amount you paid ($10). (10-6.44=3.56)

-4.8 (6.3x-4.18)=-58.56 what is x?

Answers

Answer:

x = 2.825

Step-by-step explanation:

-4.3(6.3x + -4.18) = -58.56

-4.3(-4.18 + 6.3x) = -58.56

(-4.18 * -4.3 + 6.3x * -4.3) = -58.56

(17.974 + -27.09x) = -58.56

17.974 + -27.09x = -58.56

17.974 + -17.974 + -27.09x = -58.56 + -17.974

0.000 + -27.09x = -58.56 + -17.974

-27.09x = -58.56 + -17.974

-27.09x = -76.534

x = 2.825175341

8y+11= 6y + 11
solve for y
please help

Answers

Answer:

y = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

8y + 11 = 6y + 11

Step 2: Solve for y

Subtract 6y on both sides:                    2y + 11 = 11Subtract 11 on both sides:                      2y = 0Divide 2 on both sides:                          y = 0

Answer:

Step-by-step explanation:

8y+11=6y+11

we have the same number in both sides, they will cancel out

8y-6y=0

2y=0

y=0 is the only solution  

A manager of the credit department for an oil company would like to determine whether the mean monthly balance of credit card holders is equal to $75. An auditor selects a random sample of 100 accounts and finds that the mean owed is $83.40 with a sample standard deviation of $23.65. If you were to conduct a test to determine whether the auditor should conclude that there is evidence that the mean balance is different from $75, which test would you use? a) Z-test of a population mean b) Z-test of a population proportion c) t-test of population mean d) t-test of a population proportion

Answers

Answer:

c) t-test of population mean

Explanation:

The t-test statistic is used in hypothesis testing. Here we would use a one sample t test to test our hypothesis. The one sample t test measures the statistical difference between the hypothesized mean and the sample mean. In a one sample t test or single sample t test, a test variable is measured against a test value.

Example we compare our test variable to the hypothesized mean value $75 above.

The t test is used instead of z score when standard deviation is unknown.

Using the t test, we either accept or reject the null hypothesis given alternative hypothesis.

A plumber charges a one time charge of $65 plus an hourly rate, h in dollars.
The plumber worked at a customer's house for 5 hours and charged a total of $215.
What was the hourly rate (h) in dollars per hour?

Answers

Answer:

y = 25x + 40; $140

Step-by-step explanation:

30 dollars an hour...................

M<2=12x+5 and m<7 4x+19 find m<2

Answers

ok i don’t care if i don’t

A spice merchant divided 9/10 of a pound of ground cinnamon into 3 equal packages. She then sold the ground cinnamon to restaurants and bakeries. What was the weight of ground cinnamon in each package?

Answers

Answer:the answer is 0.3

Step-by-step explanation:

Plss Someone answer!!!!

Answers

Answer:

50 hours

Step-by-step explanation:

if it takes 5 hours for 2 inches to fall, then you multiply 2 by ten to get 20, you do the same thing to the other half of the equation, or five, to get 50 hours.

Can people help me on this please I need it!!! It’s really important

Answers

Answer:

62

Step-by-step explanation:

The total of a triangle is 180

so 78+48 is 118

180-118=62

Write a function in any form that would match the graph shown below. please help :)

Answers

Answer:

0, -4

2,0

-4,0

-2,-8

Step-by-step explanation:

I chose the points that were most visable

ANSWER ASAP look at pic and answer #18

Answers

Answer:

Four

Step-by-step explanation:

Answer: will have to be 4

Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.

Answers

Answer:

[tex]Terms: 3\ and\ x + 2[/tex]

[tex]Product = 3x + 6[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, there are 3 columns and 3 rows

The 3 columns represent the first factor

To get the second factor, we have to analyze the 3 rows in the attachment.

Notice that the first row is bigger than the other two rows.

This big row will be represented with variable x

Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.

This is represented with + 1

Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.

This is also represented with + 1

Hence, the expression for the rows is x + 1 + 1 = x + 2

The product is then calculated as:

[tex]Product = 3 * (x + 2)[/tex]

[tex]Product = 3 * x + 3*2[/tex]

[tex]Product = 3x + 6[/tex]

The seniors on the student council bought a total of 36 plants to use in landscaping the front of the school. They bought some azaleas that cost $6
each and some lilles that cost $5 each. They spent a total of $196 on these plants. How many azaleas did the students buy?

Answers

Answer:

The students bought 16 azaleas plants.

Step-by-step explanation:

Given that:

Total plants bought by student council = 36

Cost of each azaleas plant = $6

Cost of each lily plant = $5

Total amount spent = $196

Let,

x be the number of azaleas

y be the number of lilies

x+y = 36       Eqn 1

6x+5y=196     Eqn 2

Multiplying Eqn 1 by 6

6(x+y=36)

6x+6y=216      Eqn 3

Subtracting Eqn 2 from Eqn 3

(6x+6y)-(6x+5y)=216-196

6x+6y-6x-5y=20

y=20

Putting y=20 in Eqn 1

x+20=36

x=36-20

x=16

Hence,

The students bought 16 azaleas plants.

Write the point-slope form of the line that has a slope of -7 and passes through the point (10,4).

Answers

Answer:

y=10/4-7

Step-by-step explanation:

Pleas help! I'll give brainliest!!!

Which of the following statements is true?
A material with randomly oriented atoms is not magnetic.
All materials are magnetic.
Electrons are atoms that are magnetic.
Electrons are atoms that re magnetic

Answers

Answer:

Electrons are atoms that are magnetic.

Step-by-step explanation:

Answer:

Electrons are atoms that are magnetic

Write an equation of the line that passes through the points (0,4) and (2, 10).

Answers

Answer:

y=3x+4

Step-by-step explanation:

what is 11÷132?? anwser please ​

Answers

12 :) djsjsndndnsnsndndnnss

Answer:

11÷132= 0.0833333333

but i think u wanted this answer

132÷11= 12

John sells forty funnel cakes at the fair in five hours. How
many funnel cake did he sell per hour?

Answers

Answer:

John sold 8 funnel cakes in 1 hour

Step-by-step explanation:

Hope I helped

Answer:

An average of 8 funnel cakes an hour

Step-by-step explanation:

40/5=8 but we don't know if he sold the same amount every hour.

Slove by using elimination
3x+7y=27
-3x+y=21

Answers

Answer:

x = -5

y = 6

Step-by-step explanation:

3x + 7y = 27      --------------(I)

-3x + y = 21        -----------(II)

Add equation (I) & (II) and so x will be eliminated and we can find the value of y.

(I)      3x + 7y = 27    

(II)     -3x + y = 21        {add}

                8y = 48

                   y = 48/8

                   y = 6

Plugin y = 6 in equation (I)

3x +7*6 = 27

3x + 42 = 27

       3x = 27 - 42

       3x = -15

         x = -15/3

x = -5

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