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

LINEAR EQUATIONS!
7(6-y)=-3(y-2)

Answers

Answer:

y=9

Step-by-step explanation:

Isolate the variable by dividing each side by factors that dont contain the variables

move variable to left side and change its sign  

42-7y+3y=6    collect like terms

-7y +3y=6-42

-4y=6-42

-4y=-36     divide both sides of the equation by -4

y=9

hope that helps :)

Q2
How
many cubic metres of earth must be dug to construct a well 7
m deep and of diameter 2.8 m?

Answers

Answer:

43.103m³

Step-by-step explanation:

This is just finding the volume of a cylinder problem.

Area of a circle = πr²

Area of circle * length of cylinder = volume

3.14*(1.4)² = 6.158m²

6.158*7 = 43.103m³

3/4 x 5/6 plssssssssssss help

Answers

the answer is 5/8 :)

3/4*5/6

cross out 3 and 6 and divide by 3

3/3=1

6/3=2

1/4*5/2

multiply the numerator together

1*5=5

multiply the denominator together

4*2=8

1/4*5/2=5/8

answer:

5/8

can you simplify this?
[tex] \frac{a {}^{3} }{2} [/tex]

Answers

It stays the same, you can’t simply it.

A bicycle has a listed price of $765.95 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax Included.

Answers

Answer:

The total cost is $ 589.06

Step-by-step explanation:

Answer:

$838.72

Step-by-step explanation:

$765.95 x 1.095 = $838.72

what is 32z-48 factored with gcf

Answers

Answer:

We found the factors and prime factorization of 32 and 48. The biggest common factor number is the GCF number. So the greatest common factor 32 and 48 is 16.

Step-by-step explanation:

What is the GCF of 32and 48?

16

Greatest common factor (GCF) of 32 and 48 is 16.

taylor has already packed 6 boxes of candles with 7 candles in each box There are 230 candles to pack in all how many more candles does taylor still need to pack.

Answers

Answer:

Step-by-step explanation:

First, you have to multiply 6 by 7 which is 42. Then, you have to minus 230 by 42, which you would get 188. That is your answer. Please give me Brainliest.

A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.

Answers

Answer:

$5,362.50

Step-by-step explanation:

3.25% = 0.0325

165000 x 0.0325 = 5,362.50 dollars

Answer:

$5,362.50

Step-by-step explanation:

If -6a = -48, then a =

Answers

Answer:a=8

source: trust me

The answer is 8: you divide -6 by -48 and since they are both negatives the answer will be positive.

Which expression is equivalent to the square root of -80?
-45
-4.5
4.15;
4.5

Answers

Answer:

-45

Step-by-step explanation: just put it thru the calculator

Can someone help me?

Answers

X=15, all you have to do is multiply

Step-by-step explanation:

total angle in a triangle180

<a +<b+<c=180

when u get x

put it in <b

then u get the value

i really need help asap

Answers

answer is d (-3,1) hope i helped:)

Answer:

D (-3, 1)

Step-by-step explanation:

plz help me asnwer this

Answers

Answer:

x= 0

y= -3

Step-by-step explanation:

6x-5y=15

substitution...

6(y+3)-5y=15

6y+18-5y=15

y+18=15

-18     -18

y= -3

substitution again...

6x-5(-3)=15

6x+15=15

-15      -15

6x=0

/6   /6

x= 0

Answer:

(0, -3)

x = 0

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

6x - 5y = 15

x = y + 3

Step 2: Solve for y

Substitution

Substitute in x:                               6(y + 3) - 5y = 15Distribute 6:                                   6y + 18 - 5y = 15Combine like terms:                      y + 18 = 15Isolate y:                                         y = -3

Step 3: Solve for x

Define original equation:                    x = y + 3Substitute in y:                                     x = -3 + 3Add:                                                      x = 0

Can someone please help me with solving this maths question?

Answers

Answer:

CD = 7

Step-by-step explanation:

Given that the triangles are congruent, then corresponding sides are congruent, that is

CD = AB , substitute values

3y + 1 = 15 - 4y ( add 4y to both sides )

7y + 1 = 15 ( subtract 1 from both sides )

7y = 14 ( divide both sides by 7 )

y = 2

Thus

CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7

Answer fast plzzzzzzzzz

Answers

Answer:

its C

0.058

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

plz, answer the question in the photo.

Answers

I'm pretty sure that the answer is a

Answer:

I believe it is D

Step-by-step explanation:

There are 18 people on a basketball team, and the coach needs to choose 5 to put into
a game. How many different possible ways can the coach choose a team of 5 if each
person has an equal chance of being selected?

Answers

Answer:

He can choose by each players skill and depending on how long the game is he can sub them out throughout the game

Step-by-step explanation:

The total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)

What are permutation and combination?

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have 18 people on a basketball team.

The coach needs to choose 5 to put into a game.

So the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is:

[tex]= \rm _{18}^{}\textrm{C}_5[/tex]

[tex]= \dfrac{18!}{5!\times 13!}[/tex]

= 8568

Thus, the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ2

There are 150 students in the sixth grade at Nimitz Middle School. Of these students, 12 students write left-handed. What percentage of the sixth graders at this middle school write left-handed?

Answers

Answer:

nnnnnnnnnnnnnnnnnnnnnn

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjj

In the diagram below, what is the approximate length of the minor arc DE?
A. 19.7 cm
B. 11.8 cm
C. 47.1 cm
D. 23.6 cm

Answers

Answer:

its 23.6 not 19.7 the other guy guessed

Step-by-step explanation:

23.6

Answer:

The correct answer is 23.6

Step-by-step explanation:

I just got it correct.

Which expression is equivalent to (3a + 7) (2a - 5)?
OA. 5a2 - a - 35
B. 5a2 - 29a - 35
O
OC. 6a2 - a - 35
O D. 6a2 - 29a - 35

Answers

Cross multiply
(3a+7)(2a-5)
5a2-15a+14a-35
5a2-a-35
ANSWER:A

2х + Зу = 9
3х + 5y = 16
Elimination

Answers

x=-3, y=5

2х + Зу = 9

3х + 5y = 16

6x + 9y = 27

6x + 10y = 32

-y = -5

y = 5

2x + 3(5) = 9

2x = 9-15

2x = -6

x=-3

The answers are X=-3 Y=5

Someone please help me!!

Answers

Sorry the question isn’t loading on my screen

Plsss help I’ll give u brainlest and 10 points

Answers

The answer would be B I hope this helps.

how many solutions?​

Answers

Answer:A) no solutions

Step-by-step explanation:

1) set both problems equal to each other

2) subtract four from each side

3) subtract 2x from each side

4) 10 does not equal 0

Answer:

No solution

Step-by-step explanation:

As soon as you minus the equations from each other, the y's and x's cancel out therefore there is no solution

NEED HELP!!!

Is an equation that has 0 for a solution the same as an equation with no solution? Explain.

Answers

Answer:

No.

Step-by-step explanation:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

Helpp pleasee it's solving mulit=step equations.

Answers

Answer:

The answers are

x=-2

m=23

a=-24

x=6

Answer:

Step-by-step explanation:

1. x+5=3

x= 3-5=-2

2. m-4=19

m= 19+4=23

3. a÷6=-4

Multiply by 6 on both sides we get

a = -4×6=-24

4. -6x =-36

Divide by -6 on both sides

x =6

Hannah took $50.00 to go shopping and she bought 2 shirts for $17.00 each how change did she have left

Answers

Answer: Hannah had $16.00 left.

Step-by-step explanation: First, you add $17.00 plus $17.00 or $17.00 times 2 which gives you $34.00. Then, you subtract $50.00 minus $34.00 which gives you $16.00.

The line plot shows the pieces of ribbon that Terry can choose for her next craft project.
Terry uses all of the 24 feet pieces.
Number of Ribbon Pieces (feet)
XX
XXX
х
XX+
X+m
1
1 1 1
2 213 21/2 2 1
What is the total length of ribbon Terry uses?
O A 3 feet
OB. 4 and 1/2 feet
Ос. 6 and 1/4 feet
O D. 6 and 3/4 feet
Lo

Answers

I THINK B but I’m not as sure

Help plsss and Idk if you can see the questions or not but if u can't lmk

Answers

A:

y=(oranges, x, for example)/4

B:

1: 1.25

2: 24

please help me out ​

Answers

Answer:

C

Step-by-step explanation:

BRAINLIEST PLEASE

Answer: A

Step-by-step explanation:

12 and 16

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