Michael spends a half hour adding water to his pool part of the time at a rate of 15 gallons per minute and the rest of the time at a rate of 9 gallons per minute. Let t be the time in minutes that he adds water at the faster rate write an algebraic expression to represent the total number of water added to the pool

Answers

Answer 1

Answer:

24t + 270 gallons

Step-by-step explanation:

Given that :

Addition rate 1 = 15 gallons per minute

Addition rate 2 = 9 gallons per minute

Total time spent adding water = half an hour = 30 minutes = 0.5 hour

Time spent adding water at faster rate = t

Time spent addition water at slower rate = (30 - t)

Total number of water added to the pool :

Amount of water added = addition rate * time

Hence,

Amount of water added at faster rate :

(15 gal / min) * t = 15t gallons

Amount added at slower rate :

(9 gal / min) * (30 - t) = (270 - 9t) gallons

Total amount of water added to the pool:

15t gallons + (270 - 9t)gallons

15t + 270 + 9t

24t + 270 gallons


Related Questions

The table represents a linear function. WhT is the slope of the function?

Answers

Answer

The slope of the function is 5.

Step-by-step explanation:

Determine if the two triangles are congruent. Help please

Answers

Answer:

ASA

Step-by-step explanation:

As we know that the Two corresponding angles are equal along with their Included Side (Side bounded by the angles) are equal as they share the common Included Side, through ASA criterion we can prove that the two angles are congruent.

Instructions: Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

30°

Step-by-step explanation:

In a right triangle, if the  " opposite side of a hypotenuse is half of the hypotenuse, then the opposite angle to the leg is 30°

Evan told his mom that he could make 14/ 12 of a cake and 5/ 6 of another cake into 2 whole cakes his mom said no way prove it explain why or why not

Answers

Answer:

The mother is wrong

Step-by-step explanation:

What we do here will be to add the fractions of the cakes that we have

Mathematically, that will be;

14/12 + 5/6 = 24/12 = 2

This means that the mother is wrong and the cakes can actually be made into 2

What is the slope of x=3y+9 and why?

Answers

1/3 is the slope. When you rearrange the equation to be in y=mx+b form, you would subtract 9 and divide by three. x divided by 3 is equal to 1/3 x, so that would be the slope

Solve 4q = 52
Q=
Which statement shows the correct justification for the step used to solve the equation

Answers

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[tex]4q = 52[/tex]

Divide sides by 4

[tex] \frac{4q}{4} = \frac{52}{4} \\ [/tex]

Simplification

[tex]q = 13[/tex]

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For the members of the golf club the ratio men:children = 11:2. The ratio women:children is 10:3. Find the ration men:women

Answers

132:80 or 33:20 this is the ratio of men to women

Translate the following sentence into a mathematical equation. The sum of 10 and five times a number is the same as the difference of the number and 6

Answers

Answer:

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]

Step-by-step explanation:

The given statement can be converted into a mathematical equation step by step.

First of all, we have to suppose a variable for the number as we don't know the exact number.

So,

Let x be the number then

five times a number => 5x

The sum of 10 and five times a number => 5x+10

the difference of the number and 6 => x-6

Putting in equation form we get

[tex]5x+10 = x-6[/tex]

Hence,

The sentence in mathematical form is: [tex]5x+10 = x-6[/tex]

What is the answer 55 : 60 = ___ : 12

Answers

Answer:

11:12

Step-by-step explanation:

I hoped that i helped u out :)

Answer:

11 is my best guess

Step-by-step explanation:

The local high school is selling candy bars and soda at a fundraiser. The candy bars sells for eighty-four cents and each soda costs $1.35. After the fundraiser was over , the students made $63.84 from the candy bars and $70. 20 from the soda

1. How many candy bars did they sell?

2. How many sodas did they sell?

3. What was the total amount of money made by the high school?

Answers

Answer:

1 84 cents i hope this helped

I need the answers to both. Will give brainiest!

Answers

Answer:

1. Number 1 and 2 and 4 is a function, 2. number 1 is a function

Step-by-step explanation:

1)To know if it's a function or not run vertical lines through multiple places of the graph. If it is a function every single time you do the vertical line test it should only go over the line once. If you do the vertical line test on 3 you will see that it went over the line on the graph, so we know not a function. Graphs 1, 2, and 4m however, are different, when you do the vertical line test on those graphs it only goes over them once.

2) Choice (1) is a function because when drawing vertical lines through the graph it only goes over one.

Choice (2) is not a function because when drawing vertical lines through the graph it covers two points on the graph.

Choice (3) is not a function because when drawing vertical lines through the graph it goes over multiple points.

Choice (4) is not a function because when a vertical line is drawn, it goes over more than one point on the graph.

The vertical test is a way to determine if it is a function.

When looking at a table functions are one-to-one and many-to-one

Non-functions are one-to-many and many-to-many

Hoped this helped you : )

Can someone help me with the questions in the picture?

Answers

Answer:

7)equilateral

8 and 9)scalene

10,11 and 12) isosceles

Step-by-step explanation:

Equilateral triangle has three equal angles and sides

scalene triangle has unequal angles and sides

isosceles has two equal angles and sides

25 pts! Dont copy someone elses work plz

Explain why the equation (x-4)^2-28=8 has two solutions. Then solve the equation to find the solutions. Show your work

Answers

Answer:

x = −2 or x = 10

Step-by-step explanation:

for the explanation see the image

Why does the sequence of translating and reflections matter?

Answers

Answer:

If two or more of the transformations have a vertical effect on the graph, the order of those transformations will most likely affect the graph. If two or more of the transformations have a horizontal effect on the graph, the order of those transformations will most likely affect the graph.

Step-by-step explanation:

Hope this helps you with your math

so sometimes i put a question with lots of points and a lot of people come up just for the points and not to help me just to let these people know i report all the people who do it so what you do is not worth it 'cause when the person report you lose the points you earned so I don't see any point in it and why .
do not do with others what you do not like that when is do with you ​

Answers

Answer:

If you have any questions I can try to help :)

Step-by-step explanation:

I'm sorry people keep doing that to you

and thank you for the points <3

What is the equation of the line ?

Answers

Y=-1/3x+5 is the correct answer:)

A store buys shoes for $40, then sells them to customers for $160. What is the percent mark-up for the price of the shoes?

Answers

Answer:

its 120 your supposed to divide 120 ÷ 100% and ur answer will be 120

Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch equals 3 ft. What is the area, in the square feet, of the room?

Answers

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

9.75 x 10 minus to the 4th power?

Answers

Is the question 9.75x10^4 ???

A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.

Answers

Answer:

The original price of her purchase was $65.

Step-by-step explanation:

From the information given, you know that $13 represents 20% of the original price and you can use a rule of three to find the value that represents 100%, which would be the original pice of her purchase:

$13 →  20%

 x   ← 100%

x=(13*100)/20

x=1300/20

x=65

According to this, the answer is that the original price of her purchase was $65.

y+3=-7(x+5) in slope intercept form

Answers

Answer:

IN slope intercept form this is y=-10x-50

y+3=-7(x+5)

y=-10(x+5)

y=-10x-50

Step-by-step explanation:

What is the nature of the solution set to the following system of equations?
5x - y = 2
2x-0.5y=3​

Answers

Answer:

u can use substitute or eliminate

13X + 8 = 50 , what is 12x + 8

Answers

Answer:

4(3x + 2)  

                                                                                                                                           

Step-by-step explanation:

Rewrite 8 as 4 x 2

Rewrite 12 as 4 x 3

= 4 x 3x + 4 x 2

= 12x + 8

4(3x +2) I hope this helped

for the function f(x) = 2(8)^x evaluate f(2)

Answers

Answer:

f(2)=128

Step-by-step explanation:

f(x) = 2(8)^x evaluate f(2)

f(2)= 2(8)^2

f(2)=2(64)

f(2)=128

Please please please help John wants to buy a new video game it cost $39.00. He has $14.00 in his piggy
bank. He works for farmer Jones down the street for $5.00 an hour. How many
hours will he need to work before he can buy his new video game? Make and equation

Answers

Answer:

5 hours

Step-by-step explanation:

39 - 14 = 25

5 x 5 = 25

14 + 25 = 39

Answer:

5 hours

Step-by-step explanation:

John needs $39.00, he has $14 now, and He earns $5 a week working. x= how many hours.

Start by setting the equation,

            $39.00= $5x + $14.00

Then solve by

1) subtracting 14 from both sides;

39(-14)= 5x+14(-14), by subtracting 14 on both sides you cancelled out the 14;

39 -14 = 5x  becomes $25= 5x      (39 -14 =25)

2) divide both sides by 5 to get x alone

25 (/5)=5x (/5) which becomes 25/5=x

3) 25/5 is 5

John must work 5 hours to have enough money to buy his video game.

solve each question -5x + 40= 6x - 70

Answers

Answer:

10=x

Step-by-step explanation:

-5x+40= 6x-70

-5x+110=6x

110=11x

10=x

Answer:

this is da answer

10=x for yoquestion

Helps me solve this problem please

Answers

Answer:

The slope is -3/7 so B

Step-by-step explanation:

Just turn this into slope-intercept form.

what you do is subtract 3x so that it's moved to the right side.

It should look like this -7y = 12 - 3x

Then just divide all numbers by 7 so everything is simplified

It should look like this y = -3/7x - 12/7

pls mark brainliest because i didn't waste you time lol

A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace

Answers

Answer:

The brace is [tex]2\sqrt{41}[/tex] ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

[tex]d=\sqrt{l^{2}+w^{2}}[/tex] , where

l is its length w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ [tex]d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}[/tex]

∴ The length of the brace = [tex]2\sqrt{41}[/tex] ≅ 12.806 ft

The brace is [tex]2\sqrt{41}[/tex] 12.806 ft long

4) Janet runs half a mile in 1/3 of an hour.
How many miles can she run in one hour?
How far can she run in 4 hours?
I

Answers

.5 miles * 3 =
First answer: 1.5 miles in an hour

1.5*4=
Second Answer: 6 miles in 4 hours

Answer:

5 miles

Step-by-step explanation:



Julio says, "If you subtract 18 from my number and multiply the difference by - 3, the result is
- 15." What is Julio's number ?

Answers

Answer:

(X-18)-3=15

3x-54=15

3x=15+54

3x=69

x=23

So jubo's number is 23

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