A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.

Answers

Answer 1

Answer:

Step-by-step explanation:

Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.

Step-by-step explanation:

Linear Equation; Ax+By=C

A linear equation to model this situation:

8x + 55 = C

Where;

8 is for the rate of gallons.

'X' is the minutes.

55 is the gallons of water the tank already contained.

8(25) + 55 = 255

Where;

8 is for the rate of gallons.

25 is the minutes.

55 is the gallons of water the tank already contained.


Related Questions

Factor the trinomial below COMPLETELY

5x^2 - 20x + 60​

Answers

Answer:

± [tex]\sqrt{-800}[/tex] / 2   or ±800i

Step-by-step explanation:

there are no rational roots because the square root of a negative

i got the answer by using the quadratic formula:  (-b ±√b2 - 4ac) /2a

Noah's cousin is exactly 7 years younger than Noah. Let C represent Noah's cousin age and N represent Noah's age. Age is measured in years.

1. Write a function that defines the cousins age as a function of Noah's age.

2. What variable represents the input of this function?

3. What variable represents the output of this function?

4. Write the inverse of the function you wrote.

5. What variable represents the input of the inverse function?

6. What represents the output of the inverse function?​

Answers

Answer:

1. f(N) = C ,where C = N - 7

2. The input of the function is x = N

3. The output of the function = y = C = N -7

4. F(C) = N where N = C - 7

5. Input of the inverse function = C

6. Output of the inverse function = N = C - 7

Step-by-step explanation:

Let Noah's cousin age = C

and  Noah's age = N

As given ,Noah's cousin is exactly 7 years younger than Noah.

⇒ C = N - 7

a.)

As we know that , A function is a maping of x to y such that f(x) = y

Let x = N , y = C

So, f( x) = y

⇒f(N) = C ,where C = N - 7

b.)

The input of the function is x = N

c.)

The output of the function = y = C = N -7

d.)

A inverse function is a mapping of y to x

i.e change the variable ,

As we have C = N - 7

It becomes

N = C - 7

So the inverse function becomes

F(C) = N where N = C - 7

e.)

Input of the inverse function = C

f.)

Output of the inverse function = N = C - 7

Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x

Answers

The correct answer is y=4x because the slope of the graph (rise over run aka y/x) is 4/1 or 4

Answer:

The correct answer is y=4x

Step-by-step explanation:

PLEASE HELP ASAP THIS IS DUE SOON

Answers

Answer:

y= 2/1x

Step-by-step explanation:

1. Mark two points on the coordinate place (1,2) (2,4)

2. Subtract y1 from y2 and x1 from x2

(1, 2)   1

(2, 4)   2

4-2 y, 2-1 x

3. Put y on top of x as a fraction after you've subtracted it (2/1)

4. y= 2/1x

i think this is right...maybe?


find the value of x

Answers

if both sides are supposed to be equal, then x=59

Convert 7% as a decimal

Answers

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Two pencils and one pen cost $0.80, and one pencil and two pens cost $1.15. How many cents would three pencils cost

Answers

Answer:

.33 cents

Step-by-step explanation:

Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y

Answers

Answer:

YES:  direct variation

Step-by-step explanation:

2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx.  YES

Can someone help me Write an equation for this graph?

Answers

Answer:

y = (2/3)x - 1

Step-by-step explanation:

y = mx + b

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (1 - (-1)) ÷ (3 - 0)

m = 2 ÷ 3

m = 2/3

Insert slope and one of the points. I'm using (0, -1).

Solve for b.

-1 = (2/3)0 + b

-1 = 0 + b

-1 = b

∴ y = (2/3)x - 1

The area A of a circle in square feet with a radius r in feet is given by the formula, A=πr2. What is the area of a circle with a radius of 3 feet? Round your answer to the nearest thousandths.

Answers

Answer:

28.29

Step-by-step explanation:

A=πr2

=3.14(3^2) (btw the ^2 is exponent)

=3.14(9)

=28.29

Alaina baked a cake that weighs 28 ounces. Her family has eaten 49% of it. About how many ounces of cake have they eaten?

Answers

Answer:

I think the answer is that her family has eaten 13.72 ounces.

Step-by-step explanation:

So it weighs 28 ounces and her family has eaten 49% of it.

28 multiplied by 49% or 0.49 is 13.72.

I hope this helps!

28800000, 1440000, 72000, 3600, 180, ...

Answers

Answer: I'm confused. What are you asking here?

Step-by-step explanation:

Help plsssssssssssssssss

Answers

The answer would be B
First, you solve the equation (-2a-5>3=-2a>8=a>-4). Since a>-4 would be our final solution, we have to graph a as anything above -4.

I need help with this question geometry

Answers

Answer:

sorry

Step-by-step explanation:

Answer:

y=15

∠P=113

∠Q=67

∠R=113

∠S=67

Step-by-step explanation:

10y-37+4y+7=180

14y=210

y=15

∠P=10(15)-37=113

∠Q=180-113=67

calculate the pay for the following day of a weekly time card given a wage of $16/hr

Answers

Answer:

24x16x7

Step-by-step explanation:

Answer:

$2,688 a week

Step-by-step explanation:

16 x 7 x 24 would be 2,688

John estimates that there is 150 people at the party. After counting, there are actually 148 people at the party
Find the percent error.
round your answer to the nearest hundredth ​

Answers

The error was 1.33333333 percent

What is the value of sin(48) ? Use a calculator and round to the nearest tenth

Answers

Answer:

0.743

:))))))))))))))

HELPPPPP!:(
In order to ride a roller coaster, a rider must be greater than 48 inches tall. Right now, Jeff is 45 inches tall. Write an inequality that describes how many more inches Jeff must grow in order to ride the roller coaster.

Answers

Answer:

x is greater than or equal to 3 inches.

Step-by-step explanation:

The required inequality that models the situation of age to grow is given as x ≥ 3.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let the age to be grow be x,
According to the question,
45 + x ≥ 48

Simplifying the above expression,
x ≥ 3

Thus, the required inequality that models the situation of age to grow is given as x ≥ 3.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ2

Answer this pleaseee !!

Answers

Answer:

D.

Step-by-step explanation:

m<F = m<B - Corresponding Angles Theorem

m<B + m<A = 180 - Adjacent Angles Theorem

180 - 105 = m<A

75 = m<A; therefore, m<A = 75.

Answer:

D.

Step-by-step explanation:

Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.

Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \pink{\text{pink}}pinkstart color #ff00af, start text, p, i, n, k, end text, end color #ff00af.
She has \blue{\text{1 blue shirt}}1 blue shirtstart color #6495ed, start text, 1, space, b, l, u, e, space, s, h, i, r, t, end text, end color #6495ed, \pink{\text{1 pink shirt}}1 pink shirtstart color #ff00af, start text, 1, space, p, i, n, k, space, s, h, i, r, t, end text, end color #ff00af, \blue{\text{1 blue hat}}1 blue hatstart color #6495ed, start text, 1, space, b, l, u, e, space, h, a, t, end text, end color #6495ed, \blue{\text{1 blue belt}}1 blue beltstart color #6495ed, start text, 1, space, b, l, u, e, space, b, e, l, t, end text, end color #6495ed, \blue{\text{1 blue pair of pants}}1 blue pair of pantsstart color #6495ed, start text, 1, space, b, l, u, e, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #6495ed, and \pink{\text{1 pink pair of pants}}1 pink pair of pantsstart color #ff00af, start text, 1, space, p, i, n, k, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #ff00af.
Iman selects one of these garments at random. Let AAA be the event that she selects a pink garment and BBB be the event that she chooses a shirt.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the garment Iman chooses is pink or a shirt?

Answers

Answer:

1/2

Step-by-step explanation:

i got this from camellarosegarcia. thank you camellarosegarcia!!!

also got it right on Khan    :)

The answer of probability that the garment Iman chooses is pink or a blue shirt is 1/2

What is Probability ?

Probability means possibility.

It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one.  

The meaning of probability is basically the extent to which something is likely to happen.

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.

In this case Iman has 2 choices pink or blue

So the probability that the garment Iman chooses is pink or a  blue shirt

is  1/2 .

To know more about Probability

https://brainly.com/question/23298290

#SPJ2

Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

130 is a 13.333%  or 13% decrease of 150.

What is an equation of the line that passes through the points (5,2) and (-5,6)?
Put your answer in fully reduced form.

Answers

Answer: y = -2/5x + 4

Steps:

First find the slope of the equation y=mx+b.

slope equation (m=y2-y1/x2-x1)

Then plug in your coordinates, which the first set is (5,2) and the second set if (-5,6). m = 6 - 2/ -5 - 5

Which your answer will be 4/-10, simplify it by dividing both by 2 to get -2/5 for your slope.

Next, find your y-intercept (b).

substitute the first set of coordinates into the equation y=mx+b

Substitute: 2 = -2/5 (5) +b

Then multiply -2/5 with 5 to get (-2). Your equation should now reduce to be

2 = -2 +b

Do inverse operations on both sides by adding 2 to each side (the 2 side and the -2+b side).

This gets rid of the -2 and since we added 2 to both sides, your final equation should look like 4 = b for your y-intercept.

Plug in everything to get y = -2/5x + 4

pls help 20 points I just need an explanation ​

Answers

Answer:

i=prt

i = 1,000 x 0.045 x 1.5

Step-by-step explanation:

(28 points) In the drawing, a regular polygon is partially covered by a rectangle. what is the number of sides of this polygon?

A: 6
B: 7
C: 8
D :60


Answers

Answer:

c:8

Step-by-step explanation:

Answer:

C: 8

Step-by-step explanation:

Please answer quickly Thank You

Answers

Answer:

A. $ 46

B. 12 people.

Step-by-step explanation:

From the question given above, we obtained the following:

C(x) = 6.5x + 20

Where:

C => total cost of bowling

x => number of people

A. Determination of the of bowling for 4 people.

Number of people (x) = 4

Total cost (C) of bowling =?

C(x) = 6.5x + 20

C(4) = 6.5(4) + 20

C(4) = 26 + 20

C(4) = $ 46

Thus, it will cost $ 46 for 4 people to bowl

B. Determination of the number of people that can bowl for $ 98.

Total cost (C) of bowling = $ 98

Number of people (x) =?

C(x) = 6.5x + 20

98 = 6.5x + 20

Collect like terms

98 – 20 = 6.5x

78 = 6.5x

Divide both side by 6.5

x = 78 / 6.5

x = 12

Thus, 12 people can bowl for $ 98.

the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.

Answers

Answer:

9 cm

Step-by-step explanation:

Answer:

it is 9 cm because 9 x 8 is 72

Step-by-step explanation:

Brandon has a jar of quarters and dimes with a total value of $7.85. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?

Answers

Answer:

dimes=8

quarters=12

Step-by-step explanation:

the total value 380 cents

Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?

Answers

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

10g of Copper reacts with 5g of Sulfur

Write the ratio of Copper to Sulphur

Answers

I think it is 2:1 because If you simply them down

Albert moved 1/4 of lawn and son mowed 3/7 of how much is left to mow

Answers

Answer: 5/28 left to mow

Step-by-step explanation:

How much is left means we have to subtract the fractions.  The easiest to do is subtract using the larger fraction first which is 3/7.

3/7 - 1/4

Since you have unlike terms in your denominator, look for that one common factor that can divide into 7 and 4, the numbers in your denominator.  In this case there is no common factor, so you have to multiply the 2 numbers in your denominator to get the common factor that would be 7 x 4=28.  28 is new the common factor you will use for each denominator. Now we have to make adjustments to the numerator:

3/7 becomes 12/28 because you have to say to yourself how many times 7 in your oringinal denominator go into 28, your new denominator, which=4.  Now you multiply that 4 by the numerator 3 and that would =12 now you have 12/28.  For the 1/4, it becomes 7/28 because you have to say to yourself how many times 4 go into 28 which =7.  Now multiply 7 by the numerator 1 which =7.  Now you have 7/28. Now you can subtract and solve for your answer:

3/7 -1/4 converted to:

12/28 - 7/28  subtract numerators 12-7 and keep the same denominator

Ans: 5/28 left to mow

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