8.
Pool X currently has 1,200 gallons of water and is being drained at a rate of 15 gallons per minute. Pool Y is currently empty and is being filled at a constant rate of 25 gallons per minute. Which inequality represents the situation when the amount of water in Pool Y is greater than the amount of water in Pool X?



1,200 - 15x > 25x

1,200 + 15x > 1,200 + 25x

1,200 - 15x < 25x

1,200 + 15x < 25x









What is the y-intercept of the graph of the linear function?

Answers

Answer 1

Answer:

make me the branliest  the answer is C

Step-by-step explanation:

Pool X has 1200 gallons of water in it. It is being drained at a rate of 15 gallons per minute. If lowercase x is the number of minutes, then it has 1200-15x gallons left in the pool.

Consider after 1 minute we have x = 1, so,

1200-15x = 1200-15*1 = 1200-15 = 11185

Then after 2 minutes we have x = 2, which means,

1200-15x = 1200-15*2 = 1200-30 = 11170

is the amount left over in gallons.

----------------

In contrast, Pool Y is empty and we add 25 gallons per minute. So we start with 0 and add on 25x getting 0+25x = 25x as the expression representing the amount of gallons of water in Pool Y

-----------------

So we found these two expressions

1200-15x

25x

to represent the amount of water (in gallons) for Pool X and Pool Y respectively.

We want to know when Pool Y will have more water. So we get to this final answer

1200 - 15x < 25x

It is in the form A < B, where A  is the amount of water in Pool X and B is the amount of water in Pool Y.


Related Questions

Find the volume of a cone with a diameter of 12 m and a height of 7 m.

Answers

Answer:

c. 84 time pi m squared

Step-by-step explanation:

Formula for volume of a cone: pi times radius squared times height divided by 3

for this you don't need to multiply by pi so it's

12 and radius is 6

6 squared  times 7/3

36 times 7/3

83.99999

rounded to 84 time pi m squared

Answer:

c

Step-by-step explanation:

a p e x

A banquet table is formed by placing three square-topped tables edge to edge. The square tabletop of each small table has an area represented by x2−6x+9. What is the overall length of the entire banquet table?

A.[tex]3x^{2} -9[/tex]
B.[tex]x-3[/tex]
C.[tex]3x^{2} -18x+27[/tex]
D[tex]3x-9[/tex]

Answers

Answer:

Option D: 3x - 9

Step-by-step explanation:

We are told that A banquet table is formed by placing three square-topped tables edge to edge.

This means means that the 4 sides are equal and the length of the entire banquet table is; 3 x side of the table

Now, the table has an area which is x² − 6x + 9.

Thus, one side will be a factor of the quadratic equation.

From quadratic formula, the factor of the equation is; (x - 3)(x - 3)

Thus,one side is (x - 3).

So, length of entire table is;

L = 3(x - 3)

L = 3x - 9

Plz help I ONLY GOT 6HRS LEFT?!?!

Answers

Answer:

21.5m^2

Step-by-step explanation:

Start by finding the area of the triangle including the rectangle.

The bottom side equals 7m and the other side equals 9m.

To find the area of the triangle, you multiply the base by the height, then divide by 2: (bh)÷2

(7*9)÷2=63/2m^2 or 31.5m^2

Now you can find the area of just the shaded region. To do this, you will want to find the area of the rectangle then subtract it from the area of the triangle.

To find the area of the rectangle, multiply the length by width.

2*5=10m^2

Now you can subtract the areas.

31.5-10=21.5m^2

Please help show how u know it’s correct

Answers

Answer:

7. Three angles are congruent but it is not enough to determine congruence, sides can still be different

- Not enough info

8. Hypotenuse and one leg are congruent

- HL

9. Angles N and L are congruent, also angles K are vertical, so congruent, in addition one non-included side is congruent

- AAS

10. S is midpoint of DT, so DS≅ST, also RS≅SB, the angle in between is also congruent as vertical

- SAS

An apartment building has the
following distribution of apartments:
1 bedroom
1st floor 3
2nd floor 1
3rd floor 1
2 bedroom
1
3
4.
3 bedroom
1
2
1
If an apartment is selected at random, what is the probability that it is on the 2nd floor or has 2 bedrooms?
A. 11/17
B. 3/17
C. 8/11
OD. 14/17

Answers

Answer:

8/17

Step-by-step explanation:

Estimate.
2.1 + 31.8

Answers

Answer:

D=34

Step-by-step explanation:

2.1+31.8= 33.9

Answer:

D

Step-by-step explanation:

None of the other answer make sense.

If you are adding, why would your estimate be lower than the factors?

NEED HELP ASAP (will mark brainliest)

Answers

Answer: 30 feet away

Answer:

30 feet away

Step-by-step explanation:

hope this helps

URGENT HELP NEEDED PLEASE

Answers

Answer:

line j

Step-by-step explanation:

The answer is line J . - I looked at the line to see if a point landed on -3 .

Given the two points (0, -5) and (-4, 0), determine the value of a and b.

Answers

Answer:

Ax + By = C

5x + 4y = -20

a is 5, b is 4

Step-by-step explanation:

Find slope:

  m = (y₂ - y₁) / (x₂ - x₁)

      = (0 - (-5)) / (-4 - 0)

     = 5 / -4

  m = -5/4

Use m above and anyone point to find y-intercept, let's use (-4, 0):

  y = mx + b

  0 = -5/4(-4) + b

  0 = 5 + b

  b = -5

Slope intercept form using m and b from above:

  y = mx + b

  y = -5/4x - 5

Standard form Ax + By = C:

  y = -5/4x - 5

  5/4x + y = -5

  5x + 4y = -20

The area of Kamar’s tabletop is a whole number of square feet. Could the length and width be decimal numbers each with one decimal place? Explain your answer.

Answers

Answer:

Pic?

Step-by-step explanation:

J + 16 - 148 + 4

Simplify the variable expression

Answers

Answer:

j-128

Step-by-step explanation:

just add the number so you do

j+16-148=4

We move all terms to the left:

j+16-148-(4)=0

We add all the numbers together, and all the variables

j-136=0

We move all terms containing j to the left, all other terms to the right

j=136

Answer:

j= -128

Step-by-step explanation:

Find the value of y for the given value of x. y=x2+9;x=−12

Answers

Answer:

0

Step-by-step explanation:

0 is what i got

2
Joe's office recycled a total of 9 kilograms of paper over 3 weeks. How many weeks will it take Joe's office to
recycle a total of 24 kilograms of paper?
0/1

Answers

It will be 8 weeks because if you look at it as a fraction it would be 9/3 = 24/x so you do 24 times 3 divided by 9 to figure out x which ends up being 72/9= 8 so 8 weeks

How can I find an outlier in a box and whisker plot?

Answers

Answer:

Generally it's one that is just out of the way, the extreme outcast.

which statement is false ?

Answers

Answer:

C

Step-by-step explanation:

The wrong answer is: C

hope this helps!

Two mechanics worked on a car. The first mechanic worked for 20 hours, and the second mechanic worked for 15 hours. Together they charged a total of $3000. What was the rate charged per hour by each mechanic if the sum of the two rates was $175 per hour?

Answers

Answer:

the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.

Step-by-step explanation:

A system of equations is a set of two or more equations in various unknowns in which you want to find a common solution.

So, first of all it is convenient to define the system variables:

x= the rate charged per hour by the first mechanicy= the rate charged per hour by the second mechanic

If the sum of the two rates were $ 175 per hour, then the mathematical expression that represents this situation is: x + y= 175

You know that the first mechanic worked for 20 hours, and the second mechanic worked for 15 hours.  Then the amount of money won by the first and second mechanic respectively is expressed by 20*x and 15*y. Together they charged a total of $3000, then 20*x + 15*y=3000

So, the system of equations to solve is:

[tex]\left \{ {{x+y=175} \atop {20*x+15*y=3000}} \right.[/tex]

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

There are several methods for solving a system of equations. One of them is the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown. Once solved, you must calculate the value of x by substituting the already known value of y.

In this case, you isolate the variable x from the first expression:

x= 175 - y

Replacing this expression in the second equation:

20*(175 - y)+15*y=3000

and solving you get:

20*175 -20*y +15*y=3000

3500 -20*y +15*y=3000

3500 -5*y=3000

-5*y=3000 -3500

-5*y= -500

y= (-500)÷(-5)

y= 100

So:

x=175 -y

x=175 -100

x=75

Then the rate charged per hour by the first mechanic is 75 $/hr and the rate charged per hour by the second mechanic is 100 $/hr.

Answer:

The rate charged by the first mechanic is $75/h and by the second is $100/h.

Step-by-step explanation:

We have that the two mechanics charged a total of $3000:

[tex] A + B = \$3000 [/tex]    

[tex] A = \$3000 - B [/tex]  (1)

The sum of the rate of the two mechanics was $175 per hour:

[tex] R_{A} + R_{B} = \$175/h [/tex]   (2)          

The rate of the first (A) and second (B) mechanic is:      

[tex] R_{A} = \frac{A}{t_{A}} = \frac{A}{20 h} [/tex]   (3)

[tex] R_{B} = \frac{B}{t_{B}} = \frac{B}{15 h} [/tex]   (4)  

By entering equation (3) and (4) into (2):

[tex] \frac{A}{20 h} + \frac{B}{15 h} = \$175/h [/tex]   (5)            

Now, by entering equation (1) into (5) we have:

[tex] \frac{\$3000 - B}{20 h} + \frac{B}{15 h} = \$175/h [/tex]        

[tex] \frac{-3B + 4B}{60 h} = \$175/h - \$150/h [/tex]

[tex] B = \$25/h*60 h = \$1500 [/tex]        

Now, for the first mechanic we have:

[tex] A = \$3000 - B = \$3000 - \$1500 = \$1500 [/tex]

Finally, from equation (3) and (4) we can find the rate charged per hour by each mechanic:

[tex] R_{A} = \frac{A}{20 h} = \frac{\$1500}{20 h} = \$75/h [/tex]                

[tex] R_{B} = \frac{B}{15 h} = \frac{\$1500}{15 h} = \$100/h [/tex]

Therefore, the rate charged by the first mechanic is $75/h and by the second is $100/h.

I hope it helps you!    

answer and work please

Answers

Answer:

I think the answer is 10 cats could be 2 maybe

Step-by-step explanation:

Jen has X cats.

Sister has 3x-2 cats.

3x-2 = 4

X = 2

3x-2 is the equation
4=3x-2
3x=6
x=2
jen has 2 cats

Due in half an Hour. Thanks for your help.

Answers

Answer:

C and $320.45

Step-by-step explanation:

I think it's C because this is the full function :

[tex]b = 26 \times d + 3.5 \times 13 + 14.95[/tex]

And to get the b part of the question i just put the number in

[tex]b = 26 \times 10 + 3.5 \times 13 + 14.95 = 320.45[/tex]

I'm not a 100% sure, sorry if it's wrong

A mixture of green frosting contains 12 drops of yellow food coloring and 8 drops of blue food coloring. If you want to make the same shade of green frosting using 48 drops of yellow food coloring, how much blue food coloring would you need?

Answers

Answer:

32 drops of blue food coloring is needed

Step-by-step explanation:

If :

12 drops of yellow food coloring = 8 drops of blue food coloring.

48 drops of yellow food coloring = x

Cross Multiply

12 drops × x = 48 drops × 8 drops

x = 48 drops × 8 drops/12 drops

x = 32 drops of blue food coloring.

If you want to make the same shade of green frosting using 48 drops of yellow food coloring, you would be needing 32 drops of blue food coloring

(x + 3y) answer please

Answers

Answer:

what do you need done to it?

Answer:

Nothing can be done with this, what do you want to be done , graph?

Step-by-step explanation:

What percentage of the shape is purple?
Write your answer using a percent sign (%).

Answers

Answer:

8% I think

Step-by-step explanation:

cause that 2/25 which is also 8/100

Write an equation to find the number of allowance a chet receive in any number of weeks w​

Answers

Answer:

b

Step-by-step explanation:

-8/9 divided by -8/9 in fraction form

Answers

Answer:

1

Step-by-step explanation:

If you ever divide a number by itself, it will be 1.

Answer:

I believe its 1

Step-by-step explanation:

I really need help and if you know the answers for the rest on the assignment please tell me

Answers

Answer:

igbr8gv9rt0ingr3tebegvijb3tu9hrn9vuorgnbrugngfboipbn tufgnvigfuobrengty98bnvfrgubndifvnjthbi rvjunmtybtbtbfgbN

Step-by-step explanation:

vdf fvfvrg

HELP ME PLEASE I NEED HELP

Answers

Answer:

50°

Step-by-step explanation:

50 + (3x + 14) + (7x - 4) = 180

50 + 3x + 14 + 7x - 4 = 180

60 + 10x = 180

10x = 180 - 60

10x = 120

x = 120/10

x = 12

So, Angle A is:

(3 * 12) + 14

36 + 14 = 50°

Answer:

a.) [tex]x=12[/tex]

b.) [tex]A=50[/tex]

Step-by-step explanation:

a.) Remember: the sum of all angles in a triangle will always be 180°.

Make an equation in which all given angles add up to 180:

∠1+∠2+∠3=180

[tex](3x+14)+(7x-4)+50=180[/tex]

Solve the equation for the value of x. Remove the parentheses:

[tex]3x+14+7x-4+50=180[/tex]

Combine like terms:

[tex](3x+7x)+(14-4+50)=180\\\\10x+60=180[/tex]

Subtract 60 from both sides:

[tex]10x+60-60=180-60\\\\10x=120[/tex]

Divide both sides by 10:

[tex]\frac{10x}{10}=\frac{120}{10} \\\\x=12[/tex]

The value of x is 12.

b.) Insert the value of x into the given value of ∠A:

[tex]A=3x+14\\\\A=3(12)+14[/tex]

Simplify multiplication:

[tex]A=36+14[/tex]

Add:

[tex]A=50[/tex]

∠A is 50°.

:Done

Check Your Work:

To make sure the given values are true, solve for ∠B:

[tex]B=7(12)-4\\\\B=84-4\\\\B=80[/tex]

Now add all angle values to determine if they add up to 180°:

[tex]50+50+80=180\\\\100+80=180\\\\180=180[/tex]

Since 180 is equal to 180, the values are true.

Maya is interning at a law firm over the summer and is paid by the hour. Her hourly wage is $52. Write two equations represent the proportional relationship between the wages she earns (w) and the number of hours (h).

Answers

Answer:

The two equations are;

w = 52 h

and h = w/52

Step-by-step explanation:

From the question, we are told that she earns $52 in an hour

So therefore ,

W(h)= 52h

where h is the number of hours she has worked and w is the wages earned for the number of hours worked

The two equations are;

w = 52h

or w/h = 52

all you need is in the photo ​

Answers

Answer:

4 hours mowing lawns and 4 hours washing cars. 6 hours washing cars and 2 hours mowing lawns.

Step-by-step explanation:

Car washing gets paid more so it would only be fair if he worked more hours of washing cars than mowing lawns. Hope this helped you!!

Describe how the graph of y = 2x is the same and different from the graph of y = 2x - 7 explain or show your reasoning

Answers

Answer:

They are the same because they have the same slope but are different because they have different y intercepts.

Step-by-step explanation:

The slope of both lines is the same. Then the line is parallel to each other.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equations are given below.

y = 2x

y = 2x - 7

The slope of both lines is the same. Then the line is parallel to each other.

But the first line is passing through the origin and the second line is passing through (0, -7).

The graph is given below.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

The equation below models the height in feet, h, of a softball t seconds after it is hit by a batter.

h = negative 16 t squared + 105 t + 3

Why is the height of the ball a function of time?
Each value of time is associated with exactly one height.
Each height of the ball is associated with exactly one moment in time.
There is exactly one time at which the maximum height is attained.
There is a maximum and minimum height that the ball can reach.

Answers

Answer:

its A.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

pls pls help!! there's 3 images.
I WILL MARK YOU BRAINLIEST IF U GET IT RIGHT

Answers

Answer:

im not sure about the 1st one but sec one is 162 i think and im  i dont know the last eaither srry  

Step-by-step explanation:

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