MATHEMATICS MIDDLE SCHOOL

Factor the expression using GCF
54e + 27
60x - 84
42x + 28y

Thanks!

Answers

Answer 1

Answer:

Answer:

1. 54 e + 27 = 27 ( 2 e + 1)

2. 60 x - 84 = 12 ( 5 x - 7)

3. 42 x + 28 y = 14 ( 3 x + 2 y)

Step-by-step explanation:

Here, the given expressions are as follows:

1. 54 e + 27

Here, the G C F of 54 and 27 is 27.

So, taking out the G C F as common factor from the given expression, we get: 54 e + 27 = 27 ( 2 e + 1)

2. 60 x - 84

Here, the G C F of 60 and 84 is 12.

So, taking out the G C F as common factor from the given expression, we get: 60 x - 84 = 12 ( 5 x - 7)

3. 42 x + 28 y

Here, the G C F of 42 and 28 is 14.

So, taking out the G C F as common factor from the given expression, we get: 42 x + 28 y = 14 ( 3 x + 2 y)

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3x + 9 > -18 A. Translate the inequality into written language. B. Find the solution set of x and describe how you would graph it on a number line.

Simplify: $(66, 2/3)/(100)$

Answers

66.2/3=22

22/100

is already in simplest form

Suzanne was baking treats for her bakery's grand opening. She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies. Of the following ratios, which one does not illustrate a comparison from the items created in Suzanne's bakery?A) 1:9 to signify cakes to cookies
B) 1:18 to signify pies to cookies
C) 2:1 to signify cakes to pies
D) 2:4 to signify cakes to pies

Answers

The ratio that does not illustrate a comparison from the items created in Suzanne's bakery is option D) 2:4 to signify cakes to pies.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the twonumbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Suzanne was baking treats for her bakery's grand opening.

Since, She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies.

Option A) 1:9 signifies a comparison of the number of cakes to the number of cookies.

Option B) 1:18 signifies a comparison of the number of pies to the number of cookies.

Option C) 2:1 signifies a comparison of the number of cakes to the number of pies.

However, option D) 2:4 does not illustrate a comparison between any of the items created in Suzanne's bakery.

This is because there are no given ratios for the number of cakes to the number of pies, or the number of cakes to the number of cakes plus pies.

Therefore, option D) is the correct answer.

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D because there are 4 cakes to 2 pies not the other way round

76 is 80% of what number?

Answers

76 is 80% of 95 and I'll even explain.
80/100 = 76/x from this point you cross multiply which gives you 80x = 76(100) you multiply 76 by 100 and get 7600 so then the equation look like this 80x = 7600 then divide by 80 on both sides and get the answer of x = 95 which is basically your answer I hope this helps :)

80 percent of the number 95 is 76.

We have,

Let the number = M

80% can be written as.

= 80/100

= 0.8

Now,

0.8 x M = 76

Solve for M.

0.8 x M = 76

M = 76/0.8

M = 760/8

M = 95

Thus,

80 percent of the number 95 is 76.

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Why is it important to line up the fraction strips on the left?

Answers

If I understand your question right, this is not necessary, but is very useful to keep problems organized.

Willa is building birdhouses. Each side of the birdhouse will need 9 nails. How many nails does Willa need for each birdhouse? There are 7 sides on the birdhouse. If Willa uses only 7 nails on each side, how will the total number of nails she uses change?

Answers

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Step-by-step explanation:

Sides of one birdhouse = 7

Nails used on each side = 9

Nails used on one birdhouse = No. of sides * Nails used for each side

Nails used on one birdhouse = 7*9 = 63 nails

If she uses 7 nails on each side, then the number of nails used on each birdhouse will be;

No. of nails = 7*7 = 49 nails

Difference = Old value - New value

Difference = 63-49 = 14

The total number of nails will decrease by 14 when Willa will use 7 nails on each side.

Keywords: multiplication, subtraction

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To find 61 × 1,000, annex ______ zeros to _____ to form the product _______

Answers

The answer is 61,000

Final answer:

To multiply 61 by 1,000, you add 3 zeros to the end of 61 to get 61,000.

Explanation:

To find 61 × 1,000, you annex 3 zeros to 61 to form the product 61,000. In other words, when you multiply any number by 1,000, you simply add 3 zeros to the end of the original number. This is due to how the place values in our decimal number system work. Each position moving left in a number represents a ten-fold increase, so moving three places to the left (which is represented by multiplying by 1,000) corresponds to adding three zeros.