MATHEMATICS MIDDLE SCHOOL

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

Answer 1
Answer: 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.

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N divided by 5 plus negative 6 equals 9. whats n?
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Jenna buys 12 lb of meat. Some of the meat is chicken and costs $1.90/lb. The rest is beef, which costs $4.30/lb. She spends a total of $34.80Which equation models this situation? Let c represent the number of pounds of chicken she buys.A. (1.9 + 4.3)(12 – c) = 34.8B. 4.3c + 1.9(c + 14) = 34.8C. 4.3c + 1.9(12) = 34.8D. 1.9c + 4.3(12 − c) = 34.8
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100 rational numbers can be inserted  between 2 and 7? give your views on this statement

Answers

a= (7-2)/(101) = (5)/(101) \n\nx_1=2+a=2 (5)/(101)\n\nx_2=2+2a=2 (10)/(101)\n\nx_3= 2+3a=2 (15)/(101)\n\n....\n\nx_(98)=7-3a=7- (15)/(101)=6 (86)/(101)\n\nx_(99)=7-2a=7- (10)/(101)=6 (91)/(101)\n\nx_(100)=7-a=7- (5)/(101)=6 (96)/(101)
My view is that between any two rational numbers, there are
an infinite number of other rational numbers.

That's my view and I'm sticking to it.

2(x - 1) + 3(1 - 2x) = 5 - x




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Answers

Answer:

x = -4/3

Step-by-step explanation:

2(x-1) +3(1-2x) = 5-x

Distribute

2x-2 +3 -6x = 5-x

Combine like terms

-4x +1 = 5-x

Add 4x to each side

-4x+4x +1 = 5-x+4x

1 =5+3x

Subtract 5 from each side

1-5 =5-5 +3x

-4 = 3x

Divide each side by 3

-4/3 = 3x/3

-4/3 =x

Answer:

1-5 =5-5 +3x

-4 = 3x

Divide each side by 3

-4/3 = 3x/3

-4/3 =x

Step-by-step explanation:

A pair of shoes originally cost $42 but is on sale for 33% off. What is the new price?

Answers

Simple...this is a discount problem.

To find the answer to this problem you can find the net price percentage of the shoes by doing...

100%-33%=67%

Now...multiply the original price by the net price percentage...

$42*0.67=$28.14

Thus, the shoes after the discount cost, $28.14
The shoes now cost 28.14. There are many ways of calculating your discount and final purchase price. One way is to multiply 42 dollars by 33 percent, and then divide the answer by one hundred, then subtract that result from the original price. If you follow these steps, you come up with your answer. You save 13.86.

A climber starts descending from 533 feet above sea level and keeps going until she reaches 10 feet below sea level.How many feet did she descend?

Answers

It's actually 543 feet because at 523 feet that would mean she is still 10 feet above sea level. So you need to add another 20 feet to get to 10 feet below sea level.

Last week Trent made 80 on his quiz. This week he made a 90. What is the percent of increase in his score? A.10%
B.12.5%
C.11%
D.15%

Answers

90=80x
x=9/8=1.125
.125*100=12.5%
(A)10%
because 10+80 equals 90

An 11 pound turkey cost $15.00 while the 16 pound turkey is on sale for $20.00 How much would you save with the sale price

Answers

$15.00/11 pounds = $1.3636 per pound$20.00/16 pounds = $1.25 per pound 1.363636 - 1.25 = $0.113636 per pound, less 1.363636 × 20 = $27.27 original price for 20lb
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