MATHEMATICS MIDDLE SCHOOL

Henry is hanging flyers on front doors for his father's pizza business. He hung 130 flyers in 95 minutes. He still has 870 flyers to hang. His brothers, Nick and Adam, come to help. Nick hangs flyers 50% faster than Henry, and Adam hangs flyers 20% slower than Henry. Find the constant of proportionality for the flyer hanging rate of Henry, Nick, and Adam combined? (round to nearest tenth)

Answers

Answer 1
Answer: Given:
Henry: 130 flyers in 95 minutes.
Nick hangs flyers 50% faster than Henry
Adam hangs flyers 20% slower than Henry
Remaining flyers: 870

Henry's rate per minute = 130/95 = 1.37 flyers per minute

Nick: 1.37 * 1.50 = 2.055 or 2.06 flyers per minute
Adam: 1.37 * 0.80 = 1.095 or 1.10 flyers per minute

1.37 flyers + 2.06 flyers + 1.10 flyers = 4.53 flyers per minute.

870 flyers  ÷ 4.53 flyers per minute = 192 minutes

the constant proportionality for the flyer hanging of all three is 4.53 flyers per minute. They will finish hanging the remaining 870 flyer within 192 minutes.
Answer 2
Answer: the answer is 4.53 but you have to round to the nearest tenth so you get 4.5

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Factors of 10 and 35

Answers


The factors of  10  are  1,  2,  5,  and  10 .

The factors of  35  are  1,  5,  7,  and  35 .
 
factors of 10 are 1,10, 2, 5
factors of 35 are 1, 35, 5, 7

URGENT,PLEASE HELP ME !!!!!!!!!!!!!!!

Answers

Answer: The last one

Step-by-step explanation:

I think this because the graph starts from H the number of hours studied and when u add the numbers and divide them up which gives you the equation 65 + 50 . Any questions please text me. Have a nice day.

A cone has a radius of 8 inches and a height of 12 inches.What is the exact volume of the cone?

Answers

The\ volume\ of\ the\ cone:V=(1)/(3)\pi r^2H\n\nwhere\nr-radius\nH-height\n----------------\n\nr=8\ in\ and\ H=12\ in\n\ntherefore\n\nV=\frac{1}3{\pi\cdot8^2\cdot12=(1)/(\not3_1)\cdot(\not12^4)/(1)\cdot64\pi=4\cdot64\pi=\boxed{256\pi\ (in^3)}

Volume = 256\pi in ^(3)

Work is attached in the image provided.

What is the median of the following set of numbers?16, 12, 18, 17, 13, 13, 12, 14, 15, 19
A.12
B.13.2
C.14.5
D.14.9

Answers

To find the median, we must order the numbers. 

12,12,13,13,14,15,16,17,18,19

Now see which one is in the middle. 

We are stuck between 14 and 15, so what is between those?
14.5 is between 14 and 15, so that is the median. 

Answer: 14.5 is the median 

4. In the Old West, settlers made tents out of a piece of cloth thrown over a clothesline and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide?

Answers

14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To find the length of the cloth needed to make the tent, we can use the Pythagorean theorem.

The triangle formed by the tent is isosceles, the hypotenuse is equal to one of the equal sides, and we can use the Pythagorean theorem to solve for "x".

The length of the hypotenuse is:

√(1/2× 8)² + 6² )

√16 + 36 )

√52= 2√13

Since the tent is isosceles, the length of each of the two equal sides of the triangle is also "x", so we have:

2x = 2√13

Solving for "x", we get:

x = √13

Therefore, the length of the cloth needed to make the tent is:

2x + 8

= 2√13 + 8

= 14.61 feet

So the cloth would have to be 14.61 feet long.

Hence, 14.6 feet long would the cloth have to be so that the opening of the tent was 6 feet high and 8 feet wide.

To learn more on trigonometry click:

brainly.com/question/25122835

#SPJ3
the cloth would have had to been 14.42 feet 

What is 18/8 as a mixed number?

Answers

If you would like to know what is 18/8 as a mixed number, you can calculate this using the following steps:

18/8 = 18/2 / 8/2 = 9/4 = 2 1/4

The correct result would be 2 1/4.
18/8
= (16+2)/8
= 16/8+ 2/8
= 2+ 2/8
= 2+ (2/2) / (8/2)
= 2+ 1/4
= 2 1/4

The final answer is 2 1/4~
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