A pump removes 1500 gal of water from a pool at a constant rate 40 gal/min. Which equation models the amount of water y in the pool after t minutes?


A. y = 40t + 1500


B. y = -40t - 1500

C. y = 40t - 1500

D. y = -40t + 1500

Answers

Answer 1
D, y=-40t+1500

You are subtracting 40 gallons each minute, which is why this is negative. The 1500 is positive, since this is what you have initially, and are subtracting from.

Hope this helps! :)

Related Questions

You are dealt one card from a standard 52-card deck. Find the probability of being dealt a red card

Answers

Answer:

It’s a 50% chance

Step-by-step explanation:

The probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

You are dealt one card from a standard 52-card deck.

Total number of red cards = 26

Total number of outcomes = 52

The probability of being dealt a red card = 26/52

The probability of being dealt a red card = 1/2

Or

The probability of being dealt a red card = 0.5 or 50%

Thus, the probability of being dealt a red card is 1/2 or 50% if you are dealt one card from a standard 52-card deck.

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WILL MARK BRAINIEST!!!
What is the best estimate for 38?
5.75
6.25
7.5
8.1

Answers

Answer:

The answer is 6.25

Step-by-step explanation:
Root 38 is exactly 6.161441400297. That number estimated would be 6.20 sine 6.16 is close to 6.20. The closest number to 6.20 is 6.25.

solve by substitution
y=x+7
2x+y=-5

Answers

Answer:

(-4,3) or X=-4, y=3

Step-by-step explanation:

when solving for the first variable once you have the result then substitute the result into the other equation.

Sierra wants to invest $5,000 at her local bank. She will receive an interest rate of 1%, compounded annually. What is the value of her investment after two years?

Answers

Answer:

Value of investment for Sierra after two years will be $5100.5

Step-by-step explanation:

Principal Amount P =$5000

Interest rate r = 1% = 0.01

Time t = 2 years

Compounded annually n = 1

We need to find future amount A

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=5000(1+\frac{0.01}{1})^{1*2}\\A=5000(1+0.01)^{2} \\A=5000(1.01)^{2}\\A=5000(1.0201)\\A=5100.5[/tex]

So, Value of investment for Sierra after two years will be $5100.5

Find the value of k. Then find the
angle measures of the triangle.
2k
45°
ko
Sum of angle
measures: 180°

Answers

k + 2k + 45 = 180

3k = 180-45

k = 135/3

k = 45

2k = 2* 45

90

Predict the exam grade for a student who studies 10 hours per week.
hours studied 5 9 3 12 1
exam grade 80 95 75 98 70

Answers

Answer:

100

Step-by-step explanation:

100

write an expression in simplest form 3x x+10 2x+2 and 5x

Answers

I'm not sure how many equations you are asking for, but hopefully, you can use what I wrote here to solve your actual question. Here is my go:

3x+10+2x+2+5x

First, add all the x's together:

3x+2x+5x=10x

Next, add all our numerals together:

10+2=12

Put it together!

10x+12

Kam can make 72 cookies in 3 hours, Madison can make 128 cookies in 4 hours. How many hours would it take them to make 200 cookies together?

Answers

Answer:

3.7 hours

Step-by-step explanation:

Answer:

3.7 hours

Step-by-step explanation

Kam      

 x = 72/3 .   =    24 cookies/h

Madison

x = 120 / 4    =    30 cookies/hour

Now we write and equation where "t" will be time

        24t + 30t = 200    

        54t = 200

       t = 200/54

       t = 3.7 hours

Paul bought 1 1/3 pounds of bananas and apples. If he bought 1 4/5 pounds of apples, how many pounds of bananas did he buy

Answers

Answer:

that doesn't make sense. u cant buy more lbs of apples than apples and bananas combined

Step-by-step explanation:

Answer:

7/15

Step-by-step explanation:

Hope this helps!! :)

An operation manager at an electronics company wants to test their amplifiers. The design engineer claims they have a mean output of 451 watts with a variance of 144. What is the probability that the mean amplifier output would be greater than 449.8 watts in a sample of 76 amplifiers if the claim is true?

Answers

Answer:

sorry for that i did not about that give a thanks and save water for feuter . jal

A, B & C form a triangle where

BAC = 90°.
AB = 9.1 mm and CA = 12.5 mm.
Find the length of BC,

Answers

Answer:

15.5

Step-by-step explanation:

9.1^2 + 12.5^2 = 239.06

square root of 239.06 is 15.5

Nat’s grocery bill was $150, which included a 5% club discount. What was Nat’s bill before the discount? Write and solve an equation.

Please show work

Answers

The answer is 157.5


A 5% discount is 0.05 then, you have to multiply 150 times 0.05 after, that you get 157.5.

HOPE THIS HELPS!!!!

I need help understanding this-

Answers

Answer: B

Step-by-step explanation: So that inequality, basically means that x is less than -6. Because there is also a line under the less than sign, that means that x is less OR equal to 6. When x can also be equal to 6, the circle on the number line will be filled in (if x was just less than 6, WITHOUT also being equal to it, than the circle would be empty). And because x is less than -6, the arrow will be pointing to the left.

PLZZZZZZZZZZZZZZZZZ HELP!

Solve each equation for the variable. Show every step in your work


-5(x+12)=20

Answers

answer: -5x+12=20

                   -12    -12

            -5x/-5= 8/-5

             x= -1.6

       Check: rewrite the orignal problem

          plug your variable

       

             

The product of z and 19 is represented by which of the following expressions?
A.
19 ÷ z
B.
19z
C.
19 + z
D.
19 – z

Answers

Product means multiplication
z times 19= 19z

Answer: B. 19z

The average age of 40 students of a class is 15 years. An 18 year-old student left the class and a new student was admitted. As a result the average age fell to 14.885 years. Find the age of the new student.

Answers

Answer:

Answer:age of new student is 13.4 years

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Hope it will help you

Please mark as brainliest answer

the sudent age is 13.4

Step-by-step explanation:

SUM of ages all 40 students =average age times 40

=15*40=600

after leaving 18 years old student

SUM of ages of 39 students will be 600-18=582

after adding new student with age x

SUM of ages of 40 students will become 582+x

and the average would be (582+x)/40

which is given as 14.885

so we get equation

(582+x)/40=14.885

582+x=14.885*40=595.4

x=595.4-582

x= 13.4

age of new student is 13.4 years

Ramon would like to plant a garden where each row has the same combination of plants. If
Ramon has 27 tomato plants, 15 cucumber plants and 6 basil plants, what is the greatest number of rows the garden can have if Ramon uses all of the plants?

Answers

Answer:

48

Step-by-step explanation:

The greatest number of rows that can be formed in the garden will be 3.

What is the highest common factor?

The Highest Common Factor (HCF) of two numbers is the highest possible number that is divisible by both numbers.

In other words, the highest common factor is the common factor between the two numbers but it should be the highest among all common factors.

As per the given,

Ramon has 27 tomato plants, 15 cucumber plants, and 6 basil plants.

Factors of 27 = 1, 3, 9, and 27.

Factors of 15 =  1, 3, 5 and 15

Factors of 6 = 1, 2, 3 and 6

The GCF of 27,15 and 6 is 3.

Thus, only three raws are possible.

Hence "The greatest number of rows that can be formed in the garden will be 3".

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Can someone help me solve all the questions in number 1?

Answers

Answer:

1 = 50⁰

2 = 130⁰

3 = 50⁰

4 = 85⁰

5 = 130⁰

6 = 50⁰

7 = 85⁰

8 = 45⁰

9 = 45⁰

10 = 135⁰

11 = 135⁰

12 = 45⁰

-1 < 4x + 3 < 7
solve for x

Answers

Answer:

-1 <x< 1

Explanation:

Add -3 to both sides

Divide all parts by 4

Nicola is multiplying 1/6 by 3/2. Use the drop down menu to complete the statement

Answers

Answer:

Step-by-step explanation:

1/6 x 3/2 = 1/4

Hope it helps

 

       

     

Answer:

Greater than

Step-by-step explanation:

Which of the following correctly shows the re-grouping strategy for solving 57 x 18?
50 x 10; 7 x 10; 10 x 8; 7 x 8
50 x 10; 7 x 10; 50 x 8; 7 x 8
50 x 10; 7 x 50; 50 x 8; 7 x 8
10 x 8; 7 x 10; 50 x 8; 7 x 8

Answers

Answer:

map

Step-by-step explanation:

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

With the regrouping strategy, we get,

50 x 10; 7 x 10; 50 x 8; 7 x 8

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

57 x 18

This can be written as,

(50 + 7) x (10 + 8)

Simplifying we get,

(50 x 10) + (50 x 8) + (7 x 10) + (7 x 8)

Now,

With the regrouping strategy, we get,

(50 x 10)

(50 x 8)

(7 x 10)

(7 x 8)

Thus,

With the regrouping strategy, we get,

50 x 10; 7 x 10; 50 x 8; 7 x 8

Option B is the correct answer.

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Find the zeros of each function. Part 2. Please show work.

1. f(x)=2x^3 - 3x^2 - 8x - 3
2. f(x)= x^3 + 3x^2 - 5x - 15
3. f(x)= 2x^4 - 3x^3 - 14x^2 + 18x + 12
4. f(x) = x^3 - 5x^2 + 5x - 1

Answers

9514 1404 393

Answer:

-1, -1/2, 3-3, -√5, √5-√6, -1/2, 2, √62-√3, 1, 2+√3

Step-by-step explanation:

Personally, the "work" I like to do when finding higher-degree polynomial zeros is writing the equation into a graphing calculator. The rational zeros are usually fairly obvious (for school problems), and the irrational ones often can be arrived at without a lot of trouble.

__

1. The graph in the first attachment shows the zeros are -1, -1/2, 3. (You expect a zero with 2 in the denominator because of the leading coefficient.)

__

2. The graph in the first attachment shows the zeros are -3, -2.236, and +2.236. Factoring the function by grouping shows you the factors to be ...

  f(x) = (x^3 +3x^2) -(5x +15) = x^2(x +3)-5(x +3) = (x +3)(x^2 -5)

The quadratic factor can be factored using the form for "difference of squares":

  f(x) = (x +3)(x -√5)(x +√5)

The value of √5 is about 2.236, matching the numbers shown on the graph.

The zeros are -3, -√5, +√5.

__

3. The graph in the second attachment shows the zeros are -2.449, -1/2, 2,  +2.449. (As in problem 1, you expect a zero with 2 in the denominator.) Factoring out the rational zeros* gives ...

  f(x) = (2x +1)(x -2)(x^2 -6) = (2x +1)(x -2)(x -√6)(x +√6)

The zeros are -1/2, 2, -√6, +√6.

* The "work" of the synthetic division is shown in the third attachment. The coefficients of the quadratic are reduced by a factor of 2 from the result of division by (x+1/2) so they effectively show the quotient from division by (2x+1).

__

4. The graph in the fourth attachment shows the zeros are 0.268, 1, 3.732. Factoring out the rational zero gives ...

  f(x) = (x -1)(x^2 -4x +1)

The zeros of the quadratic factor can be found any of several ways. One of my favorite is to use the graph to discover the vertex. For the vertex form ...

  y = (x -h)^2 +k

the roots are h±√(-k). The vertex form of the quadratic term is

  y = (x -2)^2 -3

so the roots are 2±√3.

The zeros are 1, 2-√3, 2+√3.

(√7)5=7n, what is n?

Answers

Answer:

n = 5/√7

Step-by-step explanation:

(√7) 5 = 7n

5√7 = 7n

7n = 5√7

n = 5√7/7

n = 5/√7

-TheUnknownScientist

(√7)5 = 7n

Divide both sides by n.

(√7)5/7 = n

Which problem can be shown using the equation 2 x 8 = 16 2

A rabbit jumps 2 feet. A kangaroo jumps 15 feet The kangaroo jumps 8 times as foros

the rabbit

O A rabbit jumps 2 feet A kangaroo jumps 15 feet The kangaroo jumps & more feet then

the rabbit

6) A rabbit jumps 2 feet A kangaroo jumps 8 feet. The kangaroo jumps 15 times as foros

the rabbit

A rabbit jumps 2 feet. A kangaroo jumps 8 feet. The animalis jump 15 feet in all

Answers

Answer:

C

Step-by-step explanation:

Find the slope of a line that passes through the points. (-2, 3) and (4,8).

Answers

m= (y2-y1)/(x2-x1)
m=8-3/4-(-2)
m=5/6
the slope of the line that passes through the points (-2,3) and (4,8), is 5/6

what is 3/4 ÷ 1/6 hlp​

Answers

Answer:

The answer is 4.5

Step-by-step explanation:

.caculator.....hehe

Answer:

4.5

Step-by-step explanation:

If you divide 3/4 by 1/6 you will get 4.5. Hope this helps.

PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
Camila was looking at the architect's blueprint of her house. The scale on the blueprint is shown below the blueprint on the left. What is the PERIMETER on the blueprint if the actual dimensions of her bedroom are 10 feet by 16 feet.
1/4 inch = 1 foot

Answers

Answer:

13 inches

Step-by-step explanation:

10 * 1/4 = 2 1/2 inches

16 * 1/4 = 4 inches

2(2 1/2) + 2(4) = 13 inches

Answer:

Its 4 feet, The other person is wrong and did not explain it the way the question says.

Step-by-step explanation:

20% discount of a grand total of $35.26

Answers

Answer:

$7.05

Step-by-step explanation:

Answer:

28.2

Step-by-step explanation:

What is the absolute magnitude of a star that has a period of 50 days?

Answers

Answer:

-6.07

Step-by-step explanation:

Which problem can be solved by division of decimals?
Danette needs 8 dozen eggs for her restaurant. How many eggs should she buy?
How much money does Dawna need to fill her 11.5 gallon gas tank if the price of gas is $3.59 a gallon?
How many more miles does Judy’s family have to drive to reach their destination if they have driven 45.4 miles of a 123.8 mile trip?
What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Answers

Answer:

What is Jeremy’s average if he received a total of 323.7 points on 7 tests?

Step-by-step explanation:

You have to divide 323.7 points by 7 tests so it is the only division problem out of all the problems.

The 4th problem is your answer.
It can be solved using division of decimals!!
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