A water tank holds 693 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 924 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?

Answers

Answer 1

Answer:

Simple....

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.


Related Questions

Determine the output if the function rule is

2x+5 : input = 5

Answers

Answer:

2x

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

The input is 5 , the output is the value of 2x + 5 for x = 5 ( input ), that is

output = 2(5) + 5 = 10 + 5 = 15

Renee has a total of 12 cookies in chocolate chip and peanut butter, C + P = 12. The number of chocolate chip cookies is three times the number of peanut butter cookies, C = 3P. How many of each type of cookie does she have?

Answers

Answer:

Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.

Step-by-step explanation:

This is a system of equations:

C + p = 12

C = 3P

All you need to do is substitute C for 3P in the first equation.

C + P = 12

3P + P = 12

4P = 12

Divide both sides by 4

4P/4 = 12/4

P = 12/4

P = 3

Now, substitute P for 3 in the first equation.

C + P = 12

C + 3 = 12

Subtract 3 from both sides

C + 3 - 3 = 12 - 3

C = 12 - 3

C = 9

C = 9, P = 3

Set up a system of equations in 2 variables.

How much was janes refund this year?
a 6835
b nothing
c 4190
d 2642

Answers

I would like to help but it’s not specific

Create a word problem where the answer to the problem is $10.50. Write the equation under.

Answers

Answer:

Ten Dollars Plus fifty cents equals Ten Dollars and fifty cents

Step-by-step explanation:

10 + .50 = 10.50

Select the locations on the number line to plot the points 9/2 and −7/2.

Answers

Answer:To plot these points on the number line, you should label the long lines on the number line as such starting from the left (-5-already there, -4,-3,-2,-1,0,1,2,3,4,5-already there).

Now take each number and convert the improper fraction into a mixed number. 9/2 = 4 1/2 and -7/2 = -3 1/2.

4 1/2 would plotted on the line exactly in between the 4 and 5.

-3 1/2 would be plotted on the line exactly halfway between -3 and -4.

You will draw a dot to show each of these positions on a number line.

Step-by-step explanation:

hope it helps

Hahahahaha umm I need help thankKss

Answers

Answer:

1

Step-by-step explanation:

A boat is carrying containers that weigh 4000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

4 = 16,000

8 = 32,000

10 = 40,000

Step-by-step explanation:

4 x 4 = 16 then add the zeros and then you have 16,000. Same thing with 8. 4 x 8 = 32 then add the zeros. Also goes for 10. 4 x 10 = 40 then add the zeros.

helooooooooooooooooooooooooooo

Answers

Answer:

you are asking what dont understand

Step-by-step explanation:

HELPPP ASAP WILL MARK BRAINILEST

Answers

Andy is correct! Andy has the function 4, his leading coefficient is negative, and his functions contains zeros. Hope this helps!

If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3

Answers

Answer:

f(g(x)) = 4x³

Hence, option C is true.

Step-by-step explanation:

Given

[tex]f(x) = 4x[/tex][tex]g\left(x\right)\:=\:x^3[/tex]

Determine:

f(g(x)) = ?

solving the f(g(x))

f(g(x)) = f(x³)

         = 4x³

Therefore,

f(g(x)) = 4x³

Hence, option C is true.

eighteen 2.5- gallon buckets are needed to fill a cistern of water

How many 3-gallon buckets of water will fill the cistern.

Answers

Answer:

15 3-gallon buckets of water will fill the cistern

Step-by-step explanation:

Eighteen 2.5- gallon buckets are needed to fill a cistern of water

This means, 2.5 gallon buckets in 18 places

2.5 gallons × 18 = 1 cistern of water

45 gallons = 1 cistern of water

How many 3-gallon buckets of water will fill the cistern.

Number of 3-gallon bucket in a cistern = Total gallons of bucket in one cistern / 3-gallon buckets

= 45 gallons / 3-gallon buckets

= 15

Number of 3-gallon bucket in a cistern = 15

15 3-gallon buckets of water will fill the cistern

EASY MATH PROBLEM!
Please help me! Will mark brainliest for sure!

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer would be A

Step-by-step explanation:

Use the formula for |A| <= B which is: -B <= A <= B

For this example you would do:

1. Insert the numbers into the formula: -6 <= 2x - 8 <= 6

2. first do the math for -6 <= 2x-8 which is 1 <= x

3. then do the math for 2x - 8 <= 6 which is x <= 7

4. Put that together and you get 1 <= x <= 7

Good luck on the other questions!

What values of X solve the equation G(x) = 0?

Answers

Answer:0

Step-by-step explanation:0x0=0

write Luke earned commission on each pair of jeans he sold. Luke sold $342 worth of jeans and made $112. Approximately what is Luke's commission rate?

whoever answers this first gets 15 points and a brainliest!

Answers

230 is his commission rate

please help asap ill give brainliest if youre correct!!!

Answers

Answer: its B

Step-by-step explanation: i've done this test before

Answer:

the answer is b

Step-by-step explanation:

because i have done this question before

Leah would like to earn at least $120 per month. She babysits for $5 an hour and works at an ice cream shop for $10 per hour. Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop.

Answers

This question is incomplete

Complete Question

Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $10 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y

represent the number of hours Leah works at the ice cream shop.

Answer:

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

Step-by-step explanation:

Let x represent the hours she number of hours she babysits and y represent the hours she works at the ice cream shop. Leah cannot work more than a total of 20 hours per month.

Hence:

x + y ≤ 20 ...... Equation 1

Leah would like to earn at least $120 per month.

She babysits for $5 an hour and works at an ice cream shop for $10 per hour.

Hence, out Equation is given as:

x × $5 + y × $10 = $120

5x + 10y ≥ 120..... Equation 2

The inequalities to solve this question is given as:

x + y ≤ 20

5x + 10y ≥ 120

To find x and y:

x + y = 20

x = 20 - y

5x + 10y = 120

Substitute: 20 - y for x

5(20 - y) + 10y = 120

100 - 5y + 10y = 120

Collect like terms

- 5y + 10y = 120 - 100

5y = 20

y = 20/5

y = 4 hours

Note:

x = 20 - y

x = 20 - 4

x = 16 hours

Hence:

Leah must spend: 16 hours babysitting and 4 hours working at the ice cream shop to earn at least $120

A new store sells used CDs. The store had a loss of $277 during the first week. During the second week, the store made a profit of $375. How much money did the store make overall in the first two weeks?

50points

Answers

Answer:

$98

Step-by-step explanation:

Got it right on Edge2020

Answer:

yeah first dude is right its 98

Step-by-step explanation:

:)

Please help me! I'm struggling!

Answers

Answer:

so one thing you can do is to put the standard form into slope-intercept form

so 6x+y= -4 into y=-6x -4

now, you put a point on (0,-4)

(x,y)

now the slope is -6/1 so you rise (go down) -6 points and run (sideways) 1

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

Victoria uses
3/16
cup of flavored syrup to make an Italian soda. She has 2 cups of flavored syrup left. How many Italian sodas can she make?
A.
9 3/8
B.

10 2/3
C.

11 1/4
D.

12 1/2

Answers

Answer:

B. or 10 2/3

Step-by-step explanation: Because if she had only 2 cups left then 1 cup can make 5 drinks so 10 then the rest would be a fraction.

She can make 32/3 of Italian sodas with 2 cups of flavored syrup.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Victoria uses 3/16 cups of flavored syrup to make an Italian soda.

Assume that 3/16th of x is 1.

∴ (3/16)x = 1.

3x/16 = 1.

3x = 16.

x = 16/3,

Now from 2 cups of flavored syrup, we can make 2x of  Italian soda.

Which is (16×2)/3.

= 32/3

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

The next event requires each runner to jump 8 hurdles that are spaced 12.3 meters apart. If there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line, how long is the race? Show your work. (2 points) 15 m 10.5 m Start Finish

Answers

Answer: 111.6 meters

Step-by-step explanation:

Since there are 8 hurdles that are spaced 12.3 meters apart, the number of meters here will be:

= 7 × 12.3 meters

= 86.1 meters

We are further told that there are 15 meters from the starting line to the first hurdle and 10.5 meters from the last hurdle to the finish line.

The length of the race will be:

= 86.1 + 15 + 10.5

= 111.6 meters

Answer:

The race is 111.6 m long.

8 hurdles spaced 12.3 m apart means 7 spaces that are 12.3 m in length; 7*12.3 = 86.1

Add to this the distance to the first hurdle and the distance from the last hurdle:

86.1+15+10.5 = 111.6 m

Step-by-step explanation:

Hope this helps

Can you please solve this, ASAP

Answers

Answer:

if you use a2 plus b2 equals c2

Step-by-step explanation:

40 m

What is the value of q?
S
415
2/14
S
2015
ין
R
4
64,5
T
10

Answers

Answer:

[tex]2 \sqrt{14} [/tex]

A circle passes through the point (2, 2) and has its center at (1, -3). The radius of the circle is how many units.

Answers

Step-by-step explanation:

radius

(2,2)-(1,-3)=(1,5)

radius= 5.09 units

help for brainliest plsssssssssssssss

Answers

Answer:

There will be 416 students in each group.

Step-by-step explanation:

There are 1,248 students.  There are also 3 groups: radical readers, mathematicians, and super scientists.  To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.

416 students would be in each group
answer : 416

What is the slope of the line passing through the points (-1, 19) (-2, -7)??? M=?

Answers

-26/-1 so 26 that seems high but I believe it’s right

ill mark brainliest if correct so please help​

Answers

Answer:

wait do we solve it or is there answer choices??

please help!!!! im really confused and no one is answering my questions

Answers

Answer:

x = 3.464 ft.

Step-by-step explanation:

To find x we use the trigonometric identity Sine.

[tex]sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 60=\frac{x}{4} \\\\4*sin60=x\\4*0.866=x\\3.464=x\\x=3.464\ ft[/tex]

Answer:

x = 3.464 ft.

Step-by-step explanation:

The two right triangles on the graph below are similar.

Answers

Answer:

B is the correct chose

Step-by-step explanation:

literally putting this at 45 points. can someone help me please

Answers

Answer:

15.4%

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Container A

r = 10 ft, h = 11 ftV = π*10²*11 = 1100π ft

Container B

r = 7 ft, h = 19 ftV = π*7²*19 = 931π ft²

After pump out the container A has the level of:

1100π - 931π = 169π

Level % in the container A:

169π/1100π×100% = 15.4% rounded to the nearest tenth
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