• Water tank A has 220 gallons of water and is being drained at a constant rate of 5 gallons per minute.• Water tank B has 180 gallons of water and is being drained at a constant rate of 3 gallons per minute.
Part
How much time, in minutes, do water tank A and water tank B have to be drained in order for them to have the same amount of water?

Answers

Answer 1

Answer:

Answer: In 20 minutes, tanks A and B will each have 120 gallons remaining in them.

Step-by-step explanation:

The equation, the amount at which they will be equal, represents the given starting amounts minus the gal/min times the unknown time in minutes, m.

220 - 5m = 180 - 3m Subtract 180 from both sides; add 5m to both sides.

220-180 -5m +5m = 180-180 +5m - 3m Combine like terms

40 = 2m Divide both sides by 2

20 = m

Check: Substitute 20 for m in the equation

220 - 5(20) = 180 - 3(20)

220 - 100 = 180 -60

120 = 120 True!

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How would you write the number displayed on the calculator screen in standard form

Answers

Answer:

E is short for 10^x. The number that comes after the E is the power of 10.

So its 7.6*10^12

now that scientifically notation

For standard your gonna need to simplify that

so we know 10^12 is 1000000000000

Multiply the 7.6

7600000000000

hope I helped :)

A bicycle is traveling at 20 miles per hour. How many feet will it cover in 30 seconds? Round your answer to the nearest tenth of a foot.

Answers

Answer:

$Distance = 880ft$

Step-by-step explanation:

Given

$Speed = 20(miles)/(hour)$

$Time = 30\ seconds$

Required

Determine the distance

To answer this question, we make use of speed-distance relationship

$Speed = (Distance)/(Time)$

Make Distance the subject

$Distance = Speed * Time$

$Distance = 20 miles/hour * 30 seconds$

Convert seconds to hour

$Distance = 20 miles/hour * (30)/(3600) hour$

$Distance = 20 miles * (30)/(3600)$

$Distance = (20 miles * 30)/(3600)$

$Distance = (600\ miles)/(3600)$

$Distance = (1)/(6) miles$

Convert to foot

$Distance = (1)/(6) * 5280\ ft$

$Distance = (1* 5280\ ft)/(6)$

$Distance = (5280\ ft)/(6)$

$Distance = 880ft$

Which of the following scatterplots would have a trend line with a positive slope?

Answers

the first one will be positive!

Answer:

It's the first answer.

Step-by-step explanation:

As demonstrated through the image, the slope increases. Thus making it a positive slope.

IN 2013 The number of students in a small school is 284. it is estimated that the student population will increase by 4% every year. write formula for student population and estimate student population in 2020

Answers

Answer:

Amount = Initial value × (1 + rate of interest)^years and 374

Step-by-step explanation:

The formula to determine the student population and the estimated student population is given below:

As we know that

Amount = Initial value × (1 + rate of interest)^years

= 284 × (1 + 0.04)^7

= 284 × 1.04^7

= 373.72

= 374

A rectangular prism has a base 3 cm by 4 cm and is 5 cm in height.What is the surface area of the rectangular prism?
A. 94 cm2
C. 60 cm
B. 70 cm2
D. 47 cm

Answers

Answer:

94 cm2

Step-by-step explanation:

Base x Width x height

4 x 5 x 3

Answer:

A: 94 cm2

Step-by-step explanation:

the surface area is 94 cm2

For his long distance phone service, Bill pays a $3 monthly fee plus 11 cents per minute. Last month, Bill's long distance bill was $16.09. For how many minutes was Bill billed?

Answers

Answer:

1.19 minutes

Step-by-step explanation:

First, subtract the $3 monthly fee:

16.09 - 3

= 13.09

Then, divide this by 11:

13.09/11

= 1.19

So, he was billed for 1.19 minutes

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