A water tank holds 486 gallons but leaking at a rate 4 gallons per week. A second water tank holds 648 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the 2 tanks? The amount of water that holds the two tanks will be the same in _ weeks.

Answers

Answer 1

The first tank contains

486 gal - (4 gal/week) t

gal of water after t weeks.

Similarly, the second tank contains

648 gal - (7 gal/week) t

gal of water.

The tanks hold the same amount of water when these two amounts are equal:

486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t

(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal

(3 gal/week) t = 162 gal

t = (162 gal) / (3 gal/week)

t = 54 weeks


Related Questions

A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?

Answers

Answer:

4.5 metres

Step-by-step explanation:

If  point C is between P and R, then PC+CR = PR.

Given PC = 6x-5

CR = 7 and PR = 29

Required

Find the value of x in metres

Substitute the given values into the formula;

6x-5+7 = 29

6x+2 = 29

subtract 2 from both sides

6x-2+2 = 29-2

6x = 27

Divide both sides by 6

6x/6 = 27/6

x = 27/6

x = 9/2

x = 4.5 metres

Hence the value of x in metres is 4.5metres

The sum
as three consicutive
multplies of 11 is
363
there eltiples.​

Answers

Answer:

Three consecutive multiples are 110,121 and 132 which has the sum of 363. 33C = 363; C = 33, By substituting C = 33 in numbers 11C, 11(C – 1) and 11(C + 1) we get values 110, 121, 132.

Find the value of x. [Picture below]

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 degrees.

Step-by-step explanation:

a circle is 360 degrees, so 1/2=180 degrees.

all you have to do is take the other degrees, minus them from 180 and you have your answer

I need help on 27-30

Answers

The answer is -3 because you could do 27-27 which would give you 0 and you would have 3 left over so you would take that away and it gives you -3
the answer is negative 3

Median Income per Household
Easy
PREVIOUS
NEKT
Amath class at Stevenson High School is studying a neighborhood outside of Chicago by
collecting household incomes. What is the median given the following known household
incomes of (in thousands)?
48,105,55, 68, 48, 78,39
Elimination Tool
А
48
B.
55
C
63
D
68

Answers

55 when sheiks hehej hejejs jwjej jsjdn kdjd

Given h(x) = -3x – 5, solve for x when h(x) = –2.

Answers

-2=-3x -5
3=-3x
x=-1
i think that’s the correct answer if h(x) is -2 assuming its y

The value of x will be equal to -1 when the value of h(x) is -2.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that  h(x) = -3x – 5, and the value h(x) = -2. The value of x will be calculated as below:-

h(x) = -3x – 5,

-2=-3x -5

3=-3x

x=-1

Therefore, the value of x will be equal to -1 when the value of h(x) is -2.

To know more about an expression follow

https://brainly.com/question/17032627

#SPJ2

According to the American music industry, the length of a song is normally distributed with a mean of 240 seconds and standard deviation thirty seconds. Suppose a random sample of fifteen songs is selected from the morning program. what is the probability that the length of the song is between 225 and 260 seconds long?​

Answers

Answer:

96.89%

Step-by-step explanation:

Find the standard error:

s = σ/√n

s = 30 / √15

s = 7.75

Find the z-scores:

z = (x − μ) / s

z₁ = (225 − 240) / 7.75

z₁ = -1.94

z₂ = (260 − 240) / 7.75

z₂ = 2.58

Find the probability.

P(-1.94 < Z < 2.58) = P(Z<2.58) − P(Z<-1.94)

P(-1.94 < Z < 2.58) = 0.9951 − 0.0262

P(-1.94 < Z < 2.58) = 0.9689

BASEBALL The formula for a pitcher's earned run average, or ERA, is a = 9r/p. In
this formula, a is the earned run average, r is earned runs, and p is innings pitched.
b. Find the earned runs for a pitcher with an ERA of 2.63 who has pitched
89 innings.

Answers

Answer:

To find a baseball pitcher's earned run average you can use the formula EI 9r

To find a baseball pitcher's earned run average (ERA), you can use the formula Ei=9r, where E represents ERA, i represents number of innings pitched, and r represents number of earned runs allowed.

Step-by-step explanation:

A middle school took all of its 6th grade students on a field trip to see a play at a theatre that has 2000 seats. The students filled 65% of the seats in the theatre. How many 6th graders went on the trip?

Answers

the correct answer is 1300

Weldon bought a pair of hiking boots that cost $58.50 before tax. If an 8.5% tax is added to Weldon's total, how much did he spend in total on the hiking boots?

Answers

I think it is 20 it not I am very sorry please don’t be mad at me

select all the statements that are true

Answers

Answer:

π is irrational because π is a repeating decimal. 7 is irrational because 7 is not a perfect square. 7.1234... is irrational because it is non-terminating, non-repeating decimal. ×7 is rational because 7 is not a perfect square. ×π is irrational because π is not a repeating decimal. ×

NOTE: × means false.

means true.

Help plssssssssssssss

Answers

Answer: Midpoint= (3,3)

Step-by-step explanation: Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]

[tex]MP= (\frac{8+-2 }{2}), (\frac{12+-6 }{2} )[/tex]

[tex]MP= (\frac{6 }{2}), (\frac{6 }{2} )[/tex]   6 divided by 2 = 3

[tex]MP= (3,3)[/tex]

A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1

Answers

Answer:

B, C, C

Step-by-step explanation:

slope: B. 2
- this is because slope= rise/run
- the rise is 2 and the run is 1
-2/1= 2

y-intercept: C. 1
- this is where the line crosses the y-axis (the vertical line in the center)

equation: C. 2x+1
- this is in slope-intercept form; y=mx+b
- m is equal to the slope which we determined is 2
- b is equal to the y-intercept which we determined is 1

The area of a square is given by A=s2, where s is the length of each side of the square. If the area of a square room is 81 square meters, what is the length of one side of the room in meters?

Answers

Answer:  The length of one side is 9m.

Step-by-step explanation:

If area is 81 square meters, that means A = 81 m^2.

Since A = s^2, we can substitute s^2 for A.  Then

(s^2) = 81 m^2

Take the square root of both sides to solve for s:

(s^2)^(1/2) = (81 m^2)^(1/2)

s = 9 m

what is the value of X?

Answers

Step-by-step explanation:

The answer is 45

The total degree is 360 and opposite angles of two straight lines are equal so

3x+3x+x+x=8x

8x=360

X=45

So this is late help?

Answers

Answer:

area is 22 i think sorry if this doesn't help φ(* ̄0 ̄)

BTW i like ur username

Step-by-step explanation:

A cube has edges measuring 5 inches. Find the surface area of the cube.
5 inches
102 square inches
100 square inches
150 square inches
105 square inches
С
d

Answers

Answer:

150 square inches

Step-by-step explanation:

The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150

Answer:

150 square inches

Step-by-step explanation:

The surface area of the cube is

[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]

but it's a cube so all the areas are the same

[tex]S_A=6A_1[/tex]

and the area of

[tex]A_1=l^2[/tex]

[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]

so the surface area is

[tex]S_A=6(25)\\\\S_A=150[/tex]square inches

You can not multiply a fraction by a whole/integer number. is it true or false?

True
false

In Usatestprep.

Answers

Answer:

False

Step-by-step explanation:

As an example

[tex]\frac{1}{2}[/tex] × 6 = 3

Thus a fraction can be multiplied by a whole number/ integer

Buzzard borrowed $40,500 on March 1, 2021. The principal is due to be collected in five years. Interest is receivable each March 1 at an annual rate of 10%. Record the adjusting entry for interest at its year-end of December 31.

Answers

Answer:

40,500 on March 1,2021 theoriincipal

Determine if 8.5 represents a solution to the inequality 2x + 3 > 5
yes it is a solution
no it is not a solution

Answers

Answer: yes it is a solution

Step-by-step explanation: 2x+3>5 -> x>1

Given that Ray E B bisects ∠CEA, which statements must be true? Select three options.

Answers

Answer:

m∠CEA = 90°

∠CEF is a straight angle.

∠AEF is a right angle

Step-by-step explanation:

Took the test

Which of the following statements is true? A)The number 0 is a natural number.
B)The number 1/2 is an integer.
C)The value π is a rational number.
D) The number -5 is a real number.​

Answers

Answer:

A. The number zero is a natural number

Answer:

These are correct

A) TRUE

B) FALSE

C) FALSE

D) TRUE

Ax^2+bx+c=(x+p)(x+q) What you know about p and q if c is less than 0. WILL MAKE BRAINLIEST!! If u provide EXPLANATION :)

Answers

Answer:

From what I know there is no q.

p=0 I put a slight explanation below.Hope it helps

Step-by-step explanation:

Ax^2+bx+c-p=x

Ax^2+bx+c-p-x=x-x

Ax^2+(b-1)x+c-p=0

PLAYGROUND There are 87 children at a playground. There are 23 more boys than girls. How many of each are at the playground?

Answers

Answer:

G=32 B=55

Step-by-step explanation:

55+32=87

I know this answer is right bc I got it right on my ws.

What property is (6+2)+4=4+(6+2)

Answers

Answer: commutative property of addition

Step-by-step explanation:

(a+b)+c=a+(b+c) -- Commutative property of addition

Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.

Thus, (6+2)+4=4+(6+2) is commutative property of addition.

Hope this helps!! :)

Please let me know if you need further explanation with properties of addition.

3a+8 7 anyone know the answer?

Answers

It’s literally 3a plus 87 if you’re asking 3a plus 8 times 7 then it’s 3a plus 56

Answer:

if you put 3a+87 the answer is 3(a+29)... but if u put 3a+ 8/7 the answer is 1/7*(21a+8)

Step-by-step explanation:

The number of gift baskets Nikki can make varies directly with the amount of time she
1
spends making the baskets. She can make 4 baskets in hour.
2
How many baskets can Nikki make in 5 hours?

Answers

Answer:

She can make 20 baskets in 5 hours

What is 13/100 in simplest form?

Answers

it's already in simplest form, 13 is a prime number

Answer:

0.13

Step-by-step explanation:

What is the distance between P(-4, 3) and Q(6, 1)? Round to the nearest tenth.
9.8
4.5
10.2
1.5

Answers

Answer:

10.2

How I found this answer:

4+6=10

3-1=2

10^2+2^2=104

The square root of 104 is 10.1980390272, which can be rounded to 10.2

Which of the following are solutions to |x-1|= 5x + 2 ? Check all that apply.

Answers

Answer:

x = -1/6, x = -0.16

Step-by-step explanation:

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