MATHEMATICS MIDDLE SCHOOL

~Please only answer if you know for sure~At the start of the week, you could run for 8 minutes. By the end of the week, you could run for 15 minutes. Which proportion could you use to find the percent increase in your running time?

7/15=n/100

8/7=n/100

7/8=n/100

8/15=n/100

Answers

Answer 1
Answer: So first of all, the percent increase formula is (new-original/original)*100
If you plug everything we have into the equation, it gives us:
(15-8)/8*100 = n
simplify and you get:
7/8*100 = n
divide both sides by 100 and you get your answer
which is:
7/8=n/100

Hope this helped!! :D
Answer 2
Answer: 8/15

the change is tracked by tracing the second value from the first

8 being the first and 15 being the second.

the difference between the 2 should be the percent increase

8/15=....?

thats the proportion you use :)

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A radioactive kind of nitrogen has a half-life of 10 minutes. If you start with 64 grams of the substance, how much will be left after 20 minutes

Answers

There would be 16 grams left after 20 minutes.
64/2 = after ten minutes
= 32
32/2 = after another ten minutes (20 full)
= 16

Answer:

30

Step-by-step explanation:

First, find out how many half-lives have passed. Divide the number of minutes by the length of a half-life.

20÷10=2

2 half-lives have passed.

Now figure out how much nitrogen will be left after 2 half-lives have passed. Multiply the starting amount of nitrogen by

1/2

a total of 2 times.

120x1/2 1/2=30

That calculation could also be written with exponents:

120x(1/2)2=30

After 2 half-lives, the amount of nitrogen left will be 30 grams.

The length of a rectangle is 5 centimeters less than twice its width. Its area is 42 square centimeters. Find the dimensions of the rectangle.The width is
and the length is

​

Answers

Answer:

width=6cm, lenth is 7cm

Step-by-step explanation:

Let width of rectangle be x cm

Twice width=2x cm

length=2x-5 cm

Area of the rectangle= L× W =42cm²

(2x-5) × x =42

x(2x-5)=42

2x²-5x-42=0

solving the quadratic equation

x=6cm

width=6cm

length= (2×6)- 5 =7cm

jimmy has a pocket full of nickels ans quarters. there are a total of 50 coins. when he added it all up he had $5.30. how many nickels did he have?

Answers

nickel is x
quarter is y
x + y = 50 coins
5x + 25y =530 cents
if x =49
5 × 49 = 245 + 25 = 270
if x = 45
5 × 45 = 225 + (25 × 5) = 350
if x = 40
5 × 40 = 200 + (25 × 10) = 450
if x = 36
5 × 36 = 180 + (25 × 14) = 530

There will be 36 nickels and 14 quarters.

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 216 yards, what are its dimensions? What is the width?

What is the length?

Answers

Assume it's width is x. The length, which is twice as long, is then 2x.
The perimeter consists of two sides that are the width, and the other two which are length, so you multiply both the width and length by two and add the products to get the perimeter. So if the perimeter is 216 yards:
2*x+2*2x=216, or 2x+4x=216
6x=216, so x=36. Twice that is 2*36=72.
The width is 36 and length is 72.

Find the product 14 × 50

Answers

the answer is 600, I got this by multiplying the two numbers

The answer is 700 because you just do 14×5 then, you add a zero at the end.

Hope I Helped!!!!!!!

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How do I answer (y•40)+(y•8)

Answers

(y•40)+(y•8)

Solve for the entities in the parenthesis

= 40y + 8y

Add like terms

= 48y

This should be your answer, but let me know if it wasn't what you needed, thanks!
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