A faucet delivers water at a rate of 2.7 gallons per minute. Kenny needs to fill a 30-gallon tank. The tank already has 3 gallons of water in it. Let g represent the number of gallons of water in the tank after t minutes. Write an equation that can be used to find the number of minutes, t, which it will take to fill the tank with g gallons of water. Then find the number of minutes it will take until the tank is completely full.

Answers

Answer 1

Answer:

It will take 10 minutes to fill the tank completely.

Step-by-step explanation:

If the 30-gallon tank already has 3 gallons of water in it, then 27 more are needed to fill the tank.  Thus, at time t = 0, g(0) = 3 gallons, and

g(t) = (3 gallons) + (2.7 gal/min)t, where t is the time in minutes.

At the time the tank is completely full, it holds 30 gallons.  How long does this take to achieve:  Set (3 gallons) + (2.7 gal/min)t equal to 30 gallons:

30 = 3 + 2.7t, or 27 = 2.7t, or t = 10 minutes

It will take 10 minutes to fill the tank completely.


Related Questions

David has 75 arcade tokens each arcade game at dave and busters costs 5 tokens which inequality matches this scenario

Answers

Answer:

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

David has a total of 75 tokens and Dave and busters costs 5 tokens per game. David cannot spend more than a total of 75 tokens, thus a less than or equal to sign would be used

5g ≤ 75

where g = total games than can be played

Would you rather be forced to listen to the same 10 songs on repeat for the rest of your life or forced to watch the same 5 movies on repeat for the rest of your life?

Answers

Answer:10 songs on repeat

Answer:

Same 5 movies bcuz the movies will also have music

Step-by-step explanation:

Can you help me, I would appreciate it very much:(

Which is the answer?

A.1
B.5
C.8
D.2

Answers

C
As they r corresponding angles, they equal one another.

A:32 B:24
C:16 D:8

these are the options of answers

Answers

The answer to your problem is D. 8

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce . Write a system of equations to represent the problem . Let x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars . plz help i need to raise my grades :(

Answers

Answer:

Step-by-step explanation:

Two frozen yogurt shops opened on the same block . Store A charges $2 for a cup plus $0 .50 per ounce . Store B does not charge for the cup, but charges $1 per ounce .

SLet x represent the weight of the frozen yogurt in ounces and let y represent the cost in dollars .

System of equation

y = 2 + 0.5x

help for brainliest !

Answers

Answer:

<EGF = 54

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

<EGF = 1/2  arc EF

<EGF = 1/2  (108)

<EGF = 54

Change
-3
8
to a decimal.

Answers

Answer:

-0.375

Step-by-step explanation:

Answer:

-0.375

Step-by-step explanation:

divide each other, and add a negative sign.

A rectangular prism has a volume of 2,730 cubic inches. The prism has a length of 15 inches and a height of 14 inches

Answers

Answer:

Volume us length x height x width.

Step-by-step explanation:

2700 = 15 x 14 x width. width = 13

The width of the rectangular prism is 13 inches.

What is rectangular prism?

"It is a three-dimensional geometric structure which has six faces that are rectangles."

What is the volume of rectangular prism?

"The volume of rectangular prism is [tex]V=l\times w\times h[/tex]

where l is the length of rectangular prism

w is the width of rectangular prism

h is the height of the rectangular prism"

For given question,

A rectangular prism has a volume of 2,730 cubic inches.

⇒ V = 2730 cu. in.

The prism has a length of 15 inches and a height of 14 inches

⇒ l = 15 inches , h = 14 inches

(Assuming we need to find width of the rectangular prism)

Let 'w' be the width of rectangular prism.

Using the formula of the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow 2730=15\times w\times 14\\\\\Rightarrow 2730=210\times w\\\\\Rightarrow w=13~inches[/tex]

Therefore, the width of the rectangular prism is 13 inches.

Learn more about the volume of the rectangular prism here:

https://brainly.com/question/21308574

#SPJ2

8(4x-1)-12x=2(11x-3)

Answers

Answer:

Solving for X? would be 1

Step-by-step explanation:

32x-8-12x=22x-6

20x-8=22x-6 then subtract 20x from each side and add 6 to each side

2=2x then divide by 2 and getting 1 is x

Answer:

x=-1

Step-by-step explanation:

Which of the following lines represents the line of best fit for the scatter plot?
A
B
100+
C
80
.
60
...
.
40
20
0
20
100
A

Answers

The answer should be option C.

A fair cube has a red face, blue face, green face, and a white face. During an experiment, the cube is tossed and the color it lands on is recorded.
The cube lands on red 4 times as often as it lands on blue. The cube lands on blue twice as often as it lands on green. It lands on green as often as it lands on white.
A) CREATE and COMPLETE a PROBABILITY TABLE of FOUR COLORS.
B) DRAW a BAR GRAPH to represent the PROBABILITY DISTRIBUTION.

Answers

Answer:

sewanhakaschools.org/cms/lib/NY01001491/Centricity/Domain/2116/Probability%20Answer%20Key.pdf

you can find the answer here

Identify which sampling method is most suitable in the scenario below:

A television station wants to predict the results of a referendum on legalized gambling. The television station randomly selects 8 precincts and conducts exit polling of all voters at each of the selected precincts.

Group of answer choices

Simple random Sampling

Convenience sampling

Cluster sampling

Systematic sampling

Answers

i believe it’s the fourth one!





hope this helps you

What is the simplified value of the expression below?
1 2
3 3
O 0
o 1
اتا
1
NI
O 1

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

To divide the fractions

leave the first, change division to multiplication and turn the second fraction upside down.

= [tex]\frac{1}{3}[/tex] × [tex]\frac{3}{2}[/tex] ( cancel the3 on numerator/ denominator )

= [tex]\frac{1}{2}[/tex]

Urgent help needed, thanks!

Answers

Answer:

2/5 is the rest of the shirts

Step-by-step explanation:

4 wear blue but as a fraction that would be 4/24 or 1/6 of the men

Which body system is responsible for exchange of oxygen and carbon dioxide between the body and the atmosphere?
Answers :
A. Nervous System
B. Excretory System
C. Circulatory
D. Respiratory System

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

Answers

I believe the answer is d

What is the next step

Answers

Answer:

measure of angle ABC is 6 degree.

Step-by-step explanation:

After you found x, you'll plug it in the equation of the angle it's asking for.

Measure of angle ABD, and you know measure of angle ABC = 4x-1.

4(1)-1 = 4-1 = 3

Measure of angle CBD = 2x+1.

2(1) +1 = 3

Measure of angle ABC is ABD + CBD

3 + 3 = 6

Answer:

Step-by-step explanation:

We know that is 4x - 1 + 2x + 1

So it equals

6x

or 6 ( 1) = 6°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If the sphere shown above has a radius of 16 units, then what is the approximate volume of the sphere?​

Answers

V≈17157.28 and the radius is 16

Jillian put $1200 into an account earning 6.5% interest compounded continuously. How long until she doubles her money?

please answer I'll give you five stars and step by step ​

Answers

Answer:

[tex]A= 2400\\P= 1200\\r = 6.5\% = 0.065\\n = 365 \\t = t\\A = P(1 + \frac{r}{n})^{nt}\\\\2400 = 1200(1 +\frac{0.065}{365} )^{365t}\\\\\frac{2400}{1200} = (1.00017808219)^{365t}\\\\(2)^{\frac{1}{365} } = (1.00017808219)^t\\\\\\Taking \ log \ on \ both \ sides\\log(1.00190083768) = t \times log(1.00017808219)\\\\t= \frac{log(1.00190083768)}{log(1.00017808219)} = 10.66\\\\t = 10.7years[/tex]

What number multiplied by the expression 5 x 10 to the third power is equivalent to the expression 5 x 10 to the sixth power?
Α. 3
B. 100
c. 1,000
D. 5,000

Answers

Answer:

I'm pretty sure its 3

Step-by-step explanation:

Answer:

3

Explanation:

5 x 10 to the 3rd power equals 5,000 and

5 x 10 to the 6th power equals 5,000,000

when the number is at 5,000 move 3 times to the right and then you get your answer.

The area of a circle is
[tex]144\pi \: {m}^{2} [/tex]
What is the diameter of the circle? ​

Answers

Answer:

24

Step-by-step explanation:

The area is calculated by multplying radius (half of diameter) by itself and then with number pi

the area for this circle is given as

144π m^2

144 is the squared form of 12 if the radius is 12 the diameter is 24

How many different burritos can be made ??? Plzzz help me out

Answers

C, but get someone else opinion too

How can Aundria be sure that she gets a random sample for her study of average shoe size of 7th graders?

Answers

Answer:

search onthe perfect form thrre

9 tickets to a theme park cost £243, how much would 7 tickets cost

Answers

Answer:

£189

Step-by-step explanation:

Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7

cost of 1 ticket = £243 ÷ 9 = £27

cost of 7 tickets = 7 × £27 = £189

Hey pls help me what is 12*5?

Answers

Answer:

60

Step-by-step explanation:

Thx for the points Imfaoo

60 separate them to make it easier.

It’s all in the picture. WILL GIVE BRAINIEST TO CORRECT ANSWER

Answers

1. C
2. A
3. D
4. B

The 5 vertical lines shows the (left to right) minimum value, quartile 1, median, quartile 3, and maximum value.

You won $1000 in a radio contest. If you invest it in an account that pays 4.5% interest compounded semiannually, what will be your balance after 4 years?


please answer I'll give you five stars ​

Answers

Answer:

[tex]A= P( 1 + \frac{r}{n})^{nt}\\[/tex]

P = 1000

r = 4.5% = 0.045

n = semi annually = 2

t = 4

[tex]A= 1000( 1 + \frac{0.045}{2} )^8 =1000(1 +0.0225)^8= \$ 1194.83[/tex]

What is the measure of angle C?
D
55°
A
70°
C
O A 90°
O
B.
60°
C. 45°
D. 30°

Answers

Answer:

90°

Step-by-step explanation:

Angle C is an inscribed angle off the diameter. All angles like this, that create a triangle with the diameter, are equal to 90°.

Answer:

∠C=90°

Step-by-step explanation:

∠C=1/2(BA)

∠C= 1/2 (180)

∠C=90°

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

hope it helps...

have a great day!!

which expression represents three minus the quotient of five divided by x?
1. 3 - 5x
2. 3 - 5/x
3. 3 - x/5
4. (3 - 5) x

Answers

Answer:

the correct answer is b) 3-5/x

Why do we need logs to solve exponential equations?

Answers

Answer:

Step-by-step explanation:

Logarithms can be used to solve exponential equations and to explore the properties of exponential functions.

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer: The first one:

The graph is a function because each input has exactly one output.

Please mark brainliest.  Hope this helps.

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