MATHEMATICS MIDDLE SCHOOL

Find the GCF of each number.

75 ¢, 25¢, $1.50, $3.00

Answers

Answer 1
Answer: So,

To find the G.C.F. of $0.75, $0.25, $1.50, and $300,

Think of them as 75, 25, 150, and 300.

Find the prime factored form (P.F.F.) of each number.

P.F.F. of 75: 3*5*5

P.F.F. of 25: 5*5

P.F.F. of 150: 2*3*5*5

P.F.F. of 300: 2*2*3*5*5

Find common groups.

5*5 is in all of them.

5(5) = 25

25 is the G.C.F. of 75, 25, 150, and 300 ($.75, $.25, $1.50, and $3.00).
Answer 2
Answer: the gcf of 75 cents, 25 cents ,$1.50 and $3.00 is 25 cents

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Which ordered pair is a solution to the system of equations 4x-y=10 y=2x-2

Answers

Answer:

single solution : (4 ; 6)

Step-by-step explanation:

hello :

4x-y=10.....(1)

y=2x-2.....(2)

put the value for y in (1) :

4x-(2x-2)=10

4x-2x +2 = 10

2x=8

x=8/2 =4

but : y = 2x-2

so : y =2(4)-2=6

single solution : (4 ; 6)

there are 750 people at a football game. Out of this number, 320 are students.  What percent of the people at the football game are not students? Round to the nearest tenth if needed?

Answers

to do this problem you use is/of=percent/100
So:
320/750=x/100
cross multiply 
32,000=750x
divide both sides by 750
x=42.66 repeating

ANSWER: X=42.66 REPEATING
You need to use this equation:
part of the whole = percentage x whole (simpler, it is a=pw)
In this case, it would be
320 = p x 750
Because p is the percentage we are trying to find.
You would then divide both sides by 750 to isolate p.
320 divided by 750 is 0.4266, and rounding to the nearest tenth it would be 0.43. Now your equation is
0.43 = p
To make it a percentage you move the decimal to the right two times. That makes your equation
43 =p
So 43% of the people at the football game are not students.

every 1/2 hour Naomi stretches her neck; every 1/3 hour she stretches her legs; and every 1/6 hour she stretches her arms. Which parts of her body will Naomi stretch when 2/3 of an hour has passed?

Answers

Naomi will stretch each part if her body listed because 1/2 is less than 2/3. She will have stretched her neck once;1/3 is less than 2/3. 1/3 + 1/3 is 2/3 so she would have stretched her arms twice;1/6 is less than 2/3 and goes into 2/3 4 times so she would have stretched her legs 4 times.Hope I helped!

What is the remainder of 89 divided by 8?

Answers

The answer is 12.25 so the remainder is 25

it would be 11.125

8/89

8 goes in 8 once and leaves 09. 8 goes in once to 9 and leaves 1 then add the zero to make it 10. 8 goes in 10 1 time making it 2. with the zero brought down itll be 20 and 8 goes in 20 2 times leaving 4. bring the 0 down making it 40 and 8 goes in 40 5 times and leaves nothing.

Enter the number of cups of pineapple juice Francine uses for 11 cup of orange juice.

Answers

Answer:

0 you don't use pineapple juice to make orange juice

Step-by-step explanation

If x – 9 is a factor of x2 – 5x – 36, what is the other factor?x – 4
x + 4
x – 6
x + 6

Answers

Answer:

x + 4

Step-by-step explanation:

(x - 9)(x + 4)

FOIL

x^2 + 4x - 9x - 36 = x^2 - 5x - 36

Answer:

B

Step-by-step explanation:
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