MATHEMATICS
MIDDLE SCHOOL

Answer:

If Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long and cutting has been done then the greatest length in feet in which each piece of ribbon that she can cut is 6 feet.

What is HCF?HCF is the largest number which can divide all the numbers whose HCF is found.

How to find length?We have been given length of red and blue ribbon which Karen cuts in equal lengths so the greatest length of each piece of ribbon that she can cut can be found by taking HCF of 18 and 12.

18=2*3*3

12=2*2*3

HCF=2*3

=6

Hence if Karen has a red ribbon that is 18 feet long and a blue ribbon that is 12 feet long and cutting has been done then the greatest length in feet in which each piece of ribbon that she can cut is 6 feet.

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Answer:

Answer:

6 feet

Step-by-step explanation:

Karen can cut the red ribbon into 3 (18 inched) pieces, and can cut the blue ribbon into 2 (12 inches) pieces, with each piece being 6 inches

MIDDLE SCHOOL

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)? a. g(x) = (x + 9)2 + 4 b.g(x) = (x + 9)2 − 4 c.g(x) = (x − 4)2 + 9 d.g(x) = (x + 4)2 + 9

Answer : C

The function has been translated 9 units up and 4 units to the right to form the function g(x)

For 9 units up, we add 9 at the end of f(x)

f(x) + 9

so equation becomes

For 4 units right , we subtract 4 from x in f(x)

f(x-4)

So the equation becomes

Hence

It'd be c) g(x)=(x-4)2+9

HIGH SCHOOL

Simplify 3 over x plus 2 over quantity x plus 2 all over 3 over quantity x plus 2 minus 2 over x. negative 11 over 4 -1 quantity 5 x plus 6 over x minus 4 quantity 5 x plus 2 over quantity x plus 2

We are asked in this problem to simplify the statements written on the problem. In this case, we can start converting words into numbers into the function.

1) (3/x + 2/(x+2) ) /(3/(x+2) -2/x. We should note that the word quantity denotes a parenthesis is started and that a set of terms is grouped inside the parenthesis.

simplifying, we try to make a common denominator out of this terms.

numerator:

denominator is x*(x+2), so the make up of the numerator is 3*(x+2) + 2x / (x*(x+2).

denominator: 3x - 2(x-2) / (x*(x+2).

The denominator has the same set of denominators which may cancel out both denominators. Hence,we simplify

num/denom = 3x+6 +2x / 3x -4x +4 = 5x +6 / 4-x

1) (3/x + 2/(x+2) ) /(3/(x+2) -2/x. We should note that the word quantity denotes a parenthesis is started and that a set of terms is grouped inside the parenthesis.

simplifying, we try to make a common denominator out of this terms.

numerator:

denominator is x*(x+2), so the make up of the numerator is 3*(x+2) + 2x / (x*(x+2).

denominator: 3x - 2(x-2) / (x*(x+2).

The denominator has the same set of denominators which may cancel out both denominators. Hence,we simplify

num/denom = 3x+6 +2x / 3x -4x +4 = 5x +6 / 4-x

MIDDLE SCHOOL

Madeleine can type 3 pages in one hour. How many hours will it take her to type a 123-page report

41 hours or1 day and 1 hour

MIDDLE SCHOOL

Joshua spent 3/7 of his money on souvenirs on vacation. He has $16 left. How many ounces of peanut butter are there in 1 serving?

To solve, I would first find out what 1/7 of his money is. You find this by dividing 16 by 4.

4/7=$16 (money left over)

--- ----

4 4

1/7=$4

Next, you find 3/7 by multiplying by 3

3x1/7=4x3

3/7=$12

4/7=$16 (money left over)

--- ----

4 4

1/7=$4

Next, you find 3/7 by multiplying by 3

3x1/7=4x3

3/7=$12