Mr. Sampson fills the family pool with water for the summer. After two hours, the water has reached a depth of 2.5 feet. After three hours, the water level has risen to 3 ¾ feet. If the relationship between time and water depth is proportional., what is the constant of proportionality?

Answers

Answer 1

Answer: 1.25

Step-by-step explanation:

To solve this, we.will use the formula,

y = kx

where,

y = water depth

k = constant of proportionality

x = time

Using y = kx

2.5 = 2k

k = 2.5/2

k = 1.25

Also,

y = kx

3.75 = 3k

k = 3.75/3

k = 1.25


Related Questions

How are maps of cities like dilations? GEOMETRY WILL GIVE BRANLIEST.

Answers

Dilations change the size of an object or image. In this case, a city map changes the city's size and makes it smaller so that it can be read.

−3x−7+2x+9=5
what is X?

Answers

Answer: x = -3

Hope this helps and good luck :)

Step-by-step explanation:

Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Correct on edge

Aye can one of y’all help me break this answer down (btw the total is 120)

Answers

Starter info: They bought 5 T-shirts total and $20 worth of sandals. They spent $120 total.
First you subtract the sandal cost from the total price (120-20=100), then you divide the amount of t-shirts (5) by that amount (100). So 100/5=20 so that is the price of the individual T-shirts.
Final answer: $20 per t-shirt

Answer: 5t + (10x2) i believe. I don’t know what the question was but i’m guessing they wanted to know the equation..!

Step-by-step explanation: first ... add all the people up in the family which is 5 then you times that by a variable and since they bought all of them t- shirts the variable will be ‘t’ so that’s 5t then take 10x2 since they bought two pairs of sandals which cost $10 for each pair and your equation will be 5t + (10x2)

Ms. Walch works as a car salesperson. She earns a monthly base salary of $ 4,000 Plus $ 500 commission for each car she sells. How many cars does Ms. Walsh need to sell in a given month to earn a total salary of $ 10,000 for that month?

Answers

Answer:

20 cars

Step-by-step explanation:

10,000 ÷ 500 = 20

Answer:

2 cars

Step-by-step explanation:

4,000 + 500 = 4,500 x 2 =10,000

thus its 2 cars

An airplane is 4,000 feet above the ground. It begins to descend at a rate of 140 feet per minute. How many minutes will it take until the plane is 2,600 feet above the ground?

Answers

Answer:

10 minutes!

Step-by-step explanation:

140 * 10(min) = 1,400

4000 - 1,400 = 2,600 ft

so will take 10 minutes for the plane to descend 1,400 ft

Answer:

10 minutes

Step-by-step explanation:

in five minutes it will descend by 700 feet so multiply that by 2 you get 1400 and thats how much to add and thats 10 minutes so 10

Evaluate the expression
please help me

Answers

Answer:

19/9 i think

Step-by-step explanation:

Yep 19/9 ...
No explanation

pleases show workkkkkkkkkkkkkkkk

Answers

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

pllllllllllllllllllllzzzzzzzzzzzzzzz hhhhhhhheeeeeeeeelllllllllllppppppppp

Answers

1 - a comparable
2 - ? what are the words to pick from
3- contradiction

48 out of 120 people at a fair bought fried Oreos. What percentage of the people bought fried Oreos?
1 point

Answers

Answer:

40%

Step-by-step explanation:

Answer:

it will be 40%

Step-by-step explanation:

because the formula of getting the answer is 48/120×100 which is 40

. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.​

Answers

Given:

The units sold follows the equation

[tex]U = 10000-2000P[/tex]

To find:

An equation for sales as a function of price.​

Solution:

Let S represents the sales function.

We know that, the money from sales is equal to the units sold times the price P of the unit.

[tex]S=U\times P[/tex]

[tex]S=(10000-2000P)\times P[/tex]

Using distributive property, we get

[tex]S=10000P-2000P^2[/tex]

Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].

Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?

Answers

Answer:

The inches in height will be 18 inches.

Step-by-step explanation:

Okay so we know that the original width is 4 inches and she enlarged that to 12 inches

So what we first have to do is find out how much did the photograph "grow" per se. To find this we have to divide 12 by 4. 12 divided by 4 = 3.

So, the width of the photograph grew "times 3" inches

Now whatever you do to the width you have to do to the height. In this case, what is "3 times" 6 (which is the height). 3 times 6 = 18 inches

So in simpler words 12 divided 4 = 3 x 6 = 18 inches

The inches in height will be 18 inches.

Jill has a square with a width of 12 inches, and a height of 18 inches.

Have a wonderful day!

Find the value of X please help

Answers

5x+ 7x+ 9+ 27= 180
12x+ 36= 180
12x= 144
x= 12

if pml is congruent to trq find qr?

Answers

Answer:

16

Step-by-step explanation:

Discount and Tax examples for math... HELP!!!!

Answers

Answer:

Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?

What is the perimeter of triangle XYZ?
Perimeter = ... units

Answers

Answer: 96

Step-by-step explanation:

how much are these coins worth????????

Answers

Answer:

$1.48

Step-by-step explanation:

ASAP HELP FOR BRAINLIEST!!!

A basketball player's goal was to score at least 275 points in the season. So
far, he has scored 212. If there is one game left, how many points must he
score to reach his goal? Be sure to include an inequality to represent this
scenario.

Answers

Answer:

63 more points

Step-by-step explanation:

275(goal) - 212(current points) = 63(points needed)

Check your work: 212+63=275

He needs to score 63 points

In a telephone poll, 14 people said they like shopping and 22 people said they do not like shopping. What is the ratio of the number of people who like shopping to the number of people who do not like shopping?

Answers

Answer:

I think it's 7:11

Step-by-step explanation:

14:22

simply it will be 7:11

Calculate the measure of ∠ PMU and ∠ UPM.

m∠ PMU =
m∠ UPM =

Answers

Answer:

you want to find angle PMB to find PMU

180-21-35= 124

so now, you subtract 180-124 to find PMU

180-124= 56

Now, subtract 56 and 62 from 180 to find angle UPM

180-56-62= 62

m< PMU = 56

m<UPM = 62

Step-by-step explanation:

So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.

62+35=97

180-97=83

Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.

83-21=62(angle UPM)

Then do the same steps for finding the M angles

(Left Triangle)

62+62=124

180-124=56

(Right Triangle)

21+35=56

180-56=124

And because M intersects a straight line, the M angles should add up to 180.

56+124=180

Hope This Helps :)


Jonathan opened a savings account with $5500 and made no further
deposits. If the account pays3.5% simple interest, how long will it take until
the value of his account reaches $6655? *
a. 3.5 years
b. 6 years
c. 5.54 years
d. 6.5 years

Answers

C. 5.54 years
Explanation: took the test

It takes 6 years to reach $6655.

What is Simple interest?

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The formula written out is "Simple Interest = Principal x Interest Rate x Time."

Given:

Amount= 6655

Principal = 5500

Interest rate= 3.5%

So, Amount= P( 1 +rt)

6655 = 5500 (1 + 0.035t)

6655/5500 = 1 +0.035t

1.21 - 1= 0.035t

0.21 / 0.035 = t

t= 6 years

Hence, it takes 6 years to reach $6655.

Learn more about Simple Interest here:

https://brainly.com/question/25845758

#SPJ6

Which set of integers is listed from least to greatest.
O 2,-1,-3
0 -3, 2,5
O 0,-1, 2
0 -3,-9,-12

Answers

Answer:

B

Step-by-step explanation:

The population in Smalltown in 2010 was 45,230 people and is growing exponentially at a
rate of 2%. What will the population be in 2030?
O 67,475
O 81.928
O 67.209
O 82.414

Answers

Answer:

The first option

67475

Step-by-step explanation:

Step one:

Given data

The population in Smalltown in 2010 was 45,230

rate= 2%= 0.02

time t= 20 years

Step two:

Let P(t) = population t years after 2010  

              = 45230e^0.02t

 

Population in 2030 = P(20)

                                = 45230e^0.02t(20)

                                  = 45230e^0.4

                                  ≈ 67475

Answer:

A

Step-by-step explanation:

Just adding in from the previous answer too, bc I thought it would be wrong but it wasn't

Find the slope of the line. Write your answers in simplest form

Answers

Answer:

-3/5

Step-by-step explanation:

using the picture and the rise over run method, you can see that from the coordinate farthest to the right, you move 3 spaces up (positive), and 5 spaces to the left (negative), which gives you your answer of -3/5.

You can also use the formula to find the slope:

1) y₂-y₁/x₂-x₁

2) -2-1/1-(-4)

3) -3/5

Occasionally a savings account may actually pay interest compounded continuously. For each deposit, find the interest earned if interest is compounded (a) semiannually, (b) quarterly, (c) monthly, (d) daily, and (e) continuously. Use 1 year=365 days

Answers

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

)
Evaluate: 4+8= 2 (6 - 3)
16
33
25
18
Done
HURRY

Answers

I got the answer six. I’m not sure how those other answers are possible.

Gerald wants to buy a pair of jeans, polyester pants, or cotton pants for his upcoming camping trip. The cost is similar for each item, and he can't decide which to buy. So, he plans to make a random selection. Which model can Gerald choose to simulate this situation, and what is the probability of picking a pair of jeans using this model?
A.
He can use a random number generator with the numbers 1 to 10. The probability is .
B.
He can choose one of three playing cards. The probability is .
C.
He can flip a coin. The probability is 3.
D.
He can flip a bottle cap. The probability is 1.

Answers

Answer:

B

Step-by-step explanation:

certain types of playing cards are cheap if you buy the right one then you'll have more money

Which expression has a value of 50 after simplifying?

A.
(24 + 48) ÷ 4 + 2

B.
8 + (15 – 4) x 4 – 10 ÷ 5

C.
36 – 24 ÷ 6 + 24

D.
(8 + 12) – 6 + 9

Answers

Answer:

b

Step-by-step explanation:

Use PEMDAS in order to solve

What does x = answer choices
4
16
9

Answers

Answer:

16

Step-by-step explanation:

x=16 because the Sides length and the degrees of the angle colide and show that x=16

A boat took 2 hours to travel 24km down a river. And 3 hours to travel back upstream. Find the spread of the boat in still water at the speed of the current.

Answers

If 2hours=24km
3hours=3hours/2hours*24km
=3*12
=36km
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