The center of your park has a pool. The pool is the shape of a rectangular prism. The volume of the pool is 189 cubic feet. If the length of the pool is 7 yards and the width is 3 yards, how deep is the pool? (Hint: 3 feet = 1 yard)

Answers

Answer 1

Answer:

3 yards

Step-by-step explanation:

First, let's convert yards into feet. 189 feet is 63 yards.

Volume=L•W•H           L=length W=width H=height

To do this we have to divide the volume by the product of the length and width and it will calculate the height.

Solving for the width:

63÷(7•3)=3 yards <-the depth of the pool

Answer 2

Answer:

3 yards

Step-by-step explanation:


Related Questions

A person invests 5000 dollars in a bank. The bank pays 4% interest compounded

annually. To the nearest tenth of a year, how long must the person leave the money

in the bank until it reaches 8200 dollars?

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

Answers

Answer: 12.6 years

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:  

A = P (1 + r/n) nt  

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r = Nominal Interest Rate (decimal form, 4/100= 0.04)

n= number of compounding periods in each year (1)

t = years

Replacing with the values given  

8200= 5000(1+ 0.04/1)^1(t)

Solving for t

8200 =5000 (1.04)^t

8200/5000 =(1.04)^t

1.64 =(1.04)^t

log 1.64 =log (1.04)^t

log 1.64 = t log (1.04)

log 1.64/ log (1.04) =t

t = 12.6 years

Need help with this pls
(Show work pls!!)

Answers

Answer:

Given below

Step-by-step explanation:

M is Mikey and B is Betty in,

Current ages:

M= x

B= 3x (cuz she is 3 times older)

After 5 years

M= x+5

B= 3x+5 (5 years added to present age)

It says the ages of Betty after 5 years (3x+5) will be twice as much as Mikey (2(X+5))

So,

3x+5 = 2(x+5)

3x+5 = 2x+10

3x -2x = 10-5

x = 5

Therefore,

The current ages are

Betty : 3x = 3*5 = 15

Mikey: 5 (x)

You can verify by checking with the criterias or clues given in the question.. hope this helps..mark as brainiest if this was helpful:)

Answer: The current ages are

Betty : 3x = 3*5 = 15

Mikey: 5 (x)

Step-by-step explanation:

Hoped this helped

Evaluate the expression 3 * 5 x when x is 2.

Answers

Answer:

3 * 5x

3 * 5(2)

3 * 10

30

X equals 30 I’m not exactly sure how to explain this to you


The graph shown here is the graph of which of the following rational
functions?

Answers

Answer:

B

Step-by-step explanation:

From the graph you see point (1, -2) is on f(x)

So substitute x = 1 and the resuult should be -2.

The only function that is valid, is function B.

Solve systems of equations for x + y, please!!

6x + 2y = 30
9x - 4y = 3

Answers

Answer:

9

Step-by-step explanation:

6x + 2y = 30

9x - 4y = 3

if we double the first equation and add up to second one, we cancel 4y:

12x+9x=60+3 ⇒ 21x=63 ⇒ x=3

now we can find y:

6*3+2y=30 ⇒ 2y= 30- 18 ⇒ 2y= 12 ⇒ y=6

finally, x+y

x+y= 3+6= 9
Answer is x+y=3+6=9

Thank me later lol

find a_(1) if d = 2.5, a_(15) = 33.5, S_(15 )= 240

Answers

Answer:

Value of d is 20.

I hope it will help you.

Step-by-step explanation:

Answer:

[tex]a_{1}=-19[/tex]

Step-by-step explanation:

It is sum of arithmetic progression again.

[tex]$S_{15}=\frac{15}{2} [2a_{1}+(15-1)\cdot 2.5]$[/tex]

[tex]$240=\frac{15}{2} [2a_{1}+35]$[/tex]

[tex]$240=15a_{1}+535$[/tex]

[tex]-285=15a_{1}[/tex]

[tex]a_{1}=-19[/tex]

HELP! ASAP! with the 2 pleasee

Answers

Answer:

8.106

Step-by-step explanation:

Use Pythagorean Theorum for this question, a^2+b^2=c^2

If you put the numbers into the equation you get 6.3^2+5.1^2=c^2.

Simplify and get 65.7=c^2

To get rid of the square, you square root both sides, which will get you 8.106=c (since the answer wants round to 3 numbers behind the decimal point)

Therefore the missing length is 8.106cm. (For estimation just write a random number you think it would be before actually solving the problem.

Answer for #2:

Right Triangle

Not Right Triangle

Not Right Triangle

Right Triangle

Not Right Triangle

Step-by-step explanation:

Just use the pythagorean thereum for each of the questions to see if the values match up

AWARDING BRANLIEST TO FIRST CORRECT ANSWER!!! A train was carrying 560 passengers. This was 4/5 of its capacity. How many passengers could the train carry if it was full?

Answers

Answer:

700 passengers

Step-by-step explanation:

     4/5 = 560

(÷4)               (÷4)

     1/5 = 140

     560 + 140 = 700

I hope this helps <3

Answer:

700 passengers

Step-by-step explanation:

let total be x

560= 4/5 of total

therefore=

equating

560=4/5x

560*5/4=x

700=x

therefore answer is 700 passengers

determine whether it is a solution to 2+3x≥8

Answers

2 + 3x =8 *i can’t put the sign*
subtract 2 on both sides
3x =6
Diverse 3 on both sides
x=2

yes it’s a solution

Using the attached image, find the value for x.

Answers

Answer:

Step-by-step explanation:

(x +13) + (4x + 2 ) = 180

5x + 15 = 180

Subtract 15 from both sides

5x = 180 - 15

5x = 165

Divide both sides by 5

x = 165/5

x = 33

Check

x + 13 = 33 +13  = 46

And

4x + 2 = 4*33 + 2 = 132 + 2 = 134

I need help! Thanks.

Answers

Answer:

A

Step-by-step explanation:

Its A because based on where the major drops and or rises in the lines it matches up to the numbers for the students. You really just got to eye it and try and level out where the two lines have the same number to see if it matches. Hopefully this was somewhat helpful lol. I'm not the best at giving explanations

What is the difference between using a sample and using a census (population survey)? When is it appropriate to use one or the other?

Answers

Answer:

census is a total of the population of a county and/or state.

samples are random selections of people or things

Step-by-step explanation:

If Sky wanted to get a survey from 100 kids who liked baseball or softball in her school. She would not pick the first 100 because it is not random. She would choose choose kids at random till she got her quota.

The table gives two options for online music clubs which is also given by the system of equations:

y = 0.4x + 15 and y = 0.2x + 25

For what number of songs will the monthly charge be the same?

Answers

Answer:

50 songs at $35

Step-by-step explanation:

Answer:

x = 50, y = 35

Step-by-step explanation:

Solve this system of linear equations by using substitution.  Equate the two equations to one another, thus eliminating y:

0.4x + 15 = 0.2x + 25

subtract 0.2x from both sides, obtaining:  0.2x + 15 = 25, or, after combining the constants, 0.2x = 10.

Finally we divide both sides by 0.2, which results in x = 50.

Use the first equation to find y:  y = 0.4(50) + 15 = 20 + 15 = 35

The solution of g+h≤11 is g≤4. What is the value of h?

Answers

Answer:

H≤7

Step-by-step explanation:

Jose sells portraits for $300 each. Each portrait costs him $150 in supplies and he spends $2,100 per year on fixed costs. Last year Jose sold 140 portraits. He believes that he made more than $20,000 in profit. Is this true? WILL GIVE BRAINLIEST PLEASE HELP! a) Write an expression to represent José's yearly profit. Use x to represent the number of portraits sold. b) Simplify the expression from Part I. Then, evaluate the expression for the 140 portraits José sold last year to determine if he actually made $20,000 dollars in profit. Write your answer as a complete sentence.

Answers

Answer:

a) y=(300-150)x-2100

b) y=150x-2100

c) y=150(140)-2100

y=18900

Jose was wrong. He did not make 20000 dollars last year.

Answer:

A: ((300-150) * 140) - 2100

B: 21000-2100= $18,900 profit.

Jose made 18,900 dollars worth of profit. He did not make $20,000 worth of profit.

What is the value of k?
k = 28
k= 29
k= 31
(5k - 3)°/(9 + k)°
k = 42

Answers

Answer:

k=29

Step-by-step explanation:

(5K-3)+(9+k)=180

6k+6=180  add like numbers

6x=174        subtract 6 from 180

x=29           divide by 6

The solution is : k=29, is the value of k.

What is addition?

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

Here, we have,

from the given diagram, we get,

(5K-3)+(9+k)=180

6k+6=180     [add like numbers]

6x=174       [ subtract 6 from 180]

x=29          [ divide by 6]

Hence, The solution is : k=29, is the value of k.

To earn more on addition click:

brainly.com/question/29560851

#SPJ7

PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag one than bag two, bag one had half as much sugar left as bag two. How much sugar is left in each bag?

Answers

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

Please help me asap please! I need all the answers please!

Answers

[tex]See Solution Below;[/tex]  

[tex]A. 6m - 2 = m + 13,\\6m - m = 13 + 2,\\5m = 15,\\m = 3;\\ OneSolution[/tex]   [tex]F. 18x - 5 = 3 * ( 6x - 2 ),\\18x - 5 = 18x - 6,\\18x - 18x = - 6 + 5,\\0 = - 1 ; NoSolution[/tex]    

[tex]B. 4y + 9 = 4y - 7,\\4y - 4y = - 7 - 9,\\0 \neq - 16 ; NoSolution[/tex]

[tex]C. 3c + 2 = 3c + 2,\\3c - 3c = 2 - 2,\\0 = 0 ; Infinite Solution[/tex]

[tex]E. - 8j + 14 = - 2 * ( 4j - 7 ),\\- 8j + 14 = - 8j + 14,\\- 8j + 8j = 14 - 14,\\0 = 0 ; InfiniteSolution[/tex]

[tex]D. 3 * ( x - 4 ) = 2x + 6,\\3x - 12 = 2x + 6,\\3x - 2x = 6 + 12,\\x = 18 ; OneSolution[/tex]

A ball is dropped from the top of a building that is 1,000 feet high. Its height, in feet, as a function of the
time, x, in seconds, after the ball was dropped, is given by the following equation, f(x) = 1,000 - 16x2.
Which set of numbers is appropriate as the domain for this function?
Positive Integers
Positive Real Numbers
Natural Numbers
Positive Rational Numbers

Answers

Answer:

Positive real numbers

Step-by-step explanation:

The time is not limited to rational numbers or integers. Natural numbers are a subset of integers. So the domain is positive real numbers.

Answer is positive real numbers

1. A line passes through (9, -9) and (10,-5).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.

Answers

Answer:

1. y+5=4x-40

2.y=4x-45

Step-by-step explanation:

To get the slope of a line you do y₂-y₁/x₂-x₁ so we plug in the values -9+5/9-10 and we get -4

Point-slope form states y-y₁=m(x-x₁) where m is the slope so plug in the values we get y+5=4(x-10) and you get y+5=4x-40 then turn this equation into y=mx+b and get y= 4x-45

I need help, I need an explanation for the answer

Answers

Answer:

3) The function's leading coefficient is negative.

Explanation:

(1) Is not the answer because when x = 3, f(x) = 0.

(2) Is not the answer because when f(x) = -3,

x = 0.

(4) Is also not the answer because the y-values on both sides of (1, -4) are mirroring each other.

Therefore,

(3) is the answer, by elimination, but also because there is not proof of the leading coefficient being negative, as we don't see the original equation.

I hope this helped! :)

solution of the equation
3x/5+1=4x/15+7

Answers

Answer:

x = 18

Step-by-step explanation:

Given

[tex]\frac{3x}{5}[/tex] + 1 = [tex]\frac{4x}{15}[/tex] + 7 ( subtract 1 from both sides )

[tex]\frac{3x}{5}[/tex] = [tex]\frac{4x}{15}[/tex] + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

2 Points
Which type of statement has the form "If A, then B"?
O A. True
OB. Conditional
O C. Deductive
O D. False
SUBMIT

Answers

This is a conditional: if the condition A is satisfied (true), then the result B is also satisfied (true).

Answer:

Its conditional , as the A decides what B has to do , whether this or that

Simplify and solve this equation for q 3q+5+2q-5+65

Answers

Answer:

5q +65

Step-by-step explanation:

3q+5+2q-5+65

We can only simplify since there is no equals sign

Combine like terms

5q +65

Answer:

55

Step-by-step explanation:

3q+5+2q-5+65

-2q -2q

q+5-5+65

+5 +5

q+10+65

-10 -10

q+55

q=55

HELP MATH!
You have a frame that holds three pictures. You pulled out your favorite five photos. How many sets of three are there?

Make a list of all the possible combinations using the numbers 1 to 5 to represent the photos.

Answers

Answer:

theres 1 set of 3

Step-by-step explanation:

BRAILIEST FOR CORRECT ANSWER!! using the graph as your guide, complete the following statement. the discriminant of the function is______.

Answers

Answer:

negative

Step-by-step explanation:

Since the parabola does not cross the y axis, there are no real roots,

When there are no real roots, the discriminant is less than zero  ( or negative)

Answer:

THE ANSWER IS NEGATIVE

Step-by-step explanation:

A

P

E

X

Substitution Property of Equality

Answers

B) 7x -5=11, you are substituting the given y-value in the equation

Answer:

B. 7x-5 = 11

Step-by-step explanation:

you're putting -5 instead y in equation 7x+y = 11 so 7x+(-5) =11

Gary can ride his bike 6 miles in 20 minutes. At this rate, how many miles can he ride in 100 minutes?

Answers

Answer:

30 miles

Step-by-step explanation:

We can use a ratio to solve

6 miles          x miles

------------     = -------------

20 minutes        100 minutes

Using cross products

6 * 100 = 20 x

Divide each side by 20

600/20 = 20x/20

30 =x

Answer:

30 miles

Step-by-step explanation:

First you want to divide 100mins by 20mins which will equal 5

Then multiply 5 by 6 which will equal 30

I want to take my 5 friends to the movie theater. It costs $8.25 a ticket and I want to buy a pound of gummy bears to share with my friends. If I have $50, how much change should I get back?

Answers

Answer:

Whatever the gummy bears cost minus the amount left

Step-by-step explanation:

50= 8.25(5) + gummy bears

50=41.25 + gummy bears

8.75= gummy bears

For which x is f(x)?=_3
-7
-4
4
5

Answers

is there a graph or table for this question?
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