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

What type of angles are these?

Answers

complementary angles

Answer:

I believe that the answer is the 5th one (Adjacent angles).

Step-by-step explanation:

Adjacent angles are two angles that share a common side and vertex.

Complementary angles are mostly the same but their degrees add up to 90.

Supplementary angles are similar to complementary angles but add up to 180 degrees.

Vertical angles intersect though each other and are not perpendicular (which perpendicular angles also intersect, but all angles are 90 degrees and they all add up to 360 degrees).

Linear angles are like their name, they are linear. And, they usually intersect like vertical angles. Have a linear relationship between the angles.

The angles shown on the pictures are not any of the answers, except adjacent. They don't add up to 90 degrees, so they are not complementary. They share the same common side and vertex. These facts lead up to one answer which is adjacent. These angles are adjacent.

Hope this explanation helps! :)

Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)

Answers

Answer:

Ex 1. y= -5.00x + 18.00   Ex 2. y= 0.50x + -1.00

Step-by-step explanation:

(results are in decimal form, rounded to the nearest 100th)

(3x2 - 2x + 5) - (3x2 - 8x + 2) =

Answers

Your answer is 6x + 3.

To get this answer you calculate the product and get (6x-2x+5)-(6x-8x+2). Then you want to collect like terms and get (4x+5)-(-2x+2). Then remove unnecessary parentheses. Then collect like terms and subtract. 6x+5-2 to 6x+3.
I would comment buddy above just explain it very good if I was you I would give the brainless he Deserves it

Reduce to simplest form. -\dfrac{1}{3}-\left(-\dfrac{3}{5}\right)=− 3 1 ​ −(− 5 3 ​ )=minus, start fraction, 1, divided by, 3, end fraction, minus, left parenthesis, minus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals

Answers

Answer:

-1/3 - (-3/5) = 4/15

Step-by-step explanation:

Reduce to simplest form

-1/3 - (-3/5)

= -1/3 + 3/5

Find the Lowest Common Multiple of 3 and 5

Lowest Common Multiple of 3and 5 is 15

Use the LCM to Simplify

= {(-5*1)+(3*3)} / 15

= (-5+9) / 15

= 4/15

Therefore,

-1/3 - (-3/5) = 4/15

Answer:

-4/15

Step-by-step explanation:

John needs to write 2,146 online math questions in 45 weeks. John is estimating how many questions he should write each week to meet the deadline. Which compatible numbers provide a better estimate for the number of question he should write each week, 2,000 ÷ 50 or 2,000 ÷ 40? Why?

Answers

Answer: 2,000 ÷ 50

Step-by-step explanation:

From the question, we are informed that John needs to write 2,146 online math questions in 45 weeks and that he is estimating how many questions he should write each week to meet the deadline.

The compatible numbers that provide a better estimate for the number of question he should write each week, is 2,000 ÷ 50. This is because rounding up of 2146 to the nearest thousand gives 2000. The number beside the thousand place is 2 and sinces it's not up to 5, the number becomes 2000. Likewise 45 to the nearest ten gives 50 since the number beside the ten is 5, therefore 1 will be added to 4 which becomes 5 and the number in the unit place is changed to 0, this makes the number become 50.

Therefore, the answer is 2000 ÷ 50.

1/2x + 3/4 x = 5 - 2.5x

Answers

Answer: I don't know if you wanted it to be solved or re-written but the answer is x=4/3 and re-written is 3x=4

Graph g(x) = –2x – 3

Answers

Answer:

The slope would be -2 with a y-intercept of (0, -3).

I hope this helped to answer your question.

Miles has 10 red marbles, 3 blue marbles and 5 green marbles. He randomly chooses a marble out of a bag 150 times. Make a prediction of how many times Miles will pull a green marble
A Close to but not exactly 30
B Close to but not exactly 300
C Close to but not exactly 90
D Close to but not exactly 45

Answers

Answer:

D

Step-by-step explanation:

Describe the pattern in the following sequence and list the next three terms:
4,8, 16, 32, ...

Answers

Answer:

the number on the left is half of the amount of the number next to it on the right, so the next three terms are 64, 128, 256

Step-by-step explanation:

ex 4x2=8 8x2=16 16x2=32

a research company surveys 8000 people the company expects 6000 to respond favorably if there is a percent error of 2.5% what is the Range of people who will respond Favorably to the survey !!!


please help I'm on a test rn and idk what to do !!

Answers

Answer:

Least Amount Likley: 7800

Favorable:8200

Step-by-step explanation:

Favorable 8000+2.5%

Least 8000-2.5% this is the range

Answer:

Least Amount Likely: 7800

Favorable: 8200

Step-by-step explanation:

Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]

Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range

hope this helps:)

PLEASE HELP !!

221-w=272

What is w??

Answers

Answer: W= -51

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-51

Step-by-step explanation:

2 minuses equal plus

what is 5[tex]5\frac{1}{3} divide by \frac{2}{3}[/tex]

Answers

Answer: 5 1/3 divided by 2/3 is 8

An earthquake wave travels through 55 km of rock in 25 seconds . Which equation represents the relationship between t, the number of seconds, and d, the total distance the wave travels?

Answers

Answer:

2.2 m/s

Step-by-step explanation:

Step one

Given data

An earthquake wave travels through 55 km

hence distance = 55 km

time taken = 25 seconds

Required

the expression relating t and d

Step two:

we know that velocity is

Speed= distance/time

speed= 55/25

Speed= 2.2 m/s

On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?

Answers

Answer:

2t+b=8

e+t+b=8.5

2e+2t=10

Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9

Answers

hey 47 yea=467 yigcd

i genuinely don't understand . please help me asap

Answers

Answer:

48.17

Step-by-step explanation:

Umm.. i don't really have time to explain but

A^2+B^2=C^2

36^2+32^2=48.17

A Red Oak tree is estimated to grow
0.25
feet every year. According to this estimate, how long will it take, in years, for a Red Oak tree to grow by
15
feet?

Answers

Answer:

60 years

Step-by-step explanation:

— 8х + 3y = 17
8x — 9y = — 19

Answers

Answer:

x= 83y−17 and y= 83x+17

hope it helps

If the simple interest on ​$3000 for 7 years is ​840$​, then what is the interest​ rate?

Answers

Answer:

Step-by-step explanation:

4%

please show work
A car travels 360 miles in 8 hours (with a constant speed). How much time will it take traveling 168 miles?

Answers

Answer:

3.7hours

Step-by-step explanation:

Step one:

A car travels 360 miles in 8 hours

the speed is calculated as

speed= distance/time

speed= 360/8

speed= 45mph

Step two:

How much time will it take traveling 168 miles?

having found the speed, which is the rate at which the car is tavelling

time= distance/speed

time= 168/45

time= 3.7hours

Which sequence of transformations proves that shape I is similar to shape II?

A.
a reflection across the x-axis, and then a translation 6 units right
B.
translation 6 units right, and then a 90° clockwise rotation about the origin
C.
a 180° counterclockwise rotation about the origin
D.
a reflection across the y-axis, and then a translation 4 units up
E.
a reflection across the x-axis, followed by a 180° counterclockwise
rotation about the origin, and then a translation 4 units down​

Answers

Answer:

E

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A painter painted about a fifth of a room in a fifth of a day. Coley estimated the painter would paint 6 rooms in 6 days. Is Coley's estimate reasonable? Complete the explanation.

EXPLANATION: Coley's estimate (is not/is) reasonable because the painter's unit rate is (blank) room per day, so in 6 days the painter would paint about (blank) rooms.

Answers

Answer:

yes he is correct

Step-by-step explanation:

if he is painting 1/5 of a room in 1/5 of a day he is painting 1 room in 1 day therefore he can paint 6 rooms in 6 days

√ 25 –2√3 + √27 +2√ 9 Express in simplified radical

Answers

Answer:

The expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

Step-by-step explanation:

Given the expression

√ 25 –2√3 + √27 +2√ 9

as

√ 25 = 5

√27 = 3√3

2√9 = 6

so the expression becomes

√ 25 –2√3 + √27 +2√ 9

= 5 - 2√3 + 3√3 + 6

= 11 + √3

Thus, the expression in simplified radical  form is:

√ 25 –2√3 + √27 +2√ 9 = 11 + √3

I need help please #23

Answers

The answer of question 23 is 24

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

If you place $2000 in a savings account that generates 4% interest. How much simple interest will you earn over3 years?

Answers

The correct answer for this would be 240 hope this helps!

the tempature rises 36° F. each hour the tempature rises 6°F. write an equation that models the tempature y, in degrees Fahrenheit, after x hours

Answers

Since the temperature starts at 40 degrees F at sunrise and increases 4 degrees every hour afterward, we can begin our equation.

If you visualize the graph, the y-axis (left side) will denote the degrees and increase slightly every hour. The x-axis (at bottom) will show the hours as they pass by. In slope-intercept form, the b must be 40 degrees, since this is where we start, and the slope m must be 4, since this is the amount the temperature is changing every hour.

Therefore y=4x+40

This equation will tell you the temperature (y) at any hour (x).

HELP IS THIS PROPORTIONAL RELATIONSHIP?!

Answers

Answer:

no it isn't

Step-by-step explanation:

Answer:

I am not fully sure but I think its not proportional

Step-by-step explanation:

Find the value of side b. Show what equation you used, what values you plugged
into the equation, your work, and the answer.

Answers

Answer:

If it's hypotenuse for the side angle I think the answer is 25

Step-by-step explanation:

[tex]\sqrt[n]{15^{2} + 20^2} = 25 If you're doing hypotenuse[/tex]

1/5x + 24 = 50
what does x equal?

Answers

Answer:

130

Step-by-step explanation:

1/5x=50-24  subtract 24 to both sides

1/5x=26   multiply 5 on both sides

x=130  multiply 5 to both sides

can someone help me please!!!

Answers

I don't see anything in the photo
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