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ludmilkaskok [199]
2 years ago
9

Find the GCF 0f 12 and 18

Mathematics
1 answer:
melisa1 [442]2 years ago
8 0

Answer:

  6

Step-by-step explanation:

Using Euclid's algorithm, we divide the larger by the smaller. If the remainder is zero, the divisor is the GCF. Otherwise, we replace the larger with the remainder and repeat.

  18 ÷ 12 = 1 r 6

  12 ÷ 6 = 2 r 0 . . . . the GCF is 6

__

You can also factor the numbers and see what the common factors are.

  18 = 2·3·3

  12 = 2·2·3

The common factors are 2·3 = 6.

In the factorizations, we see 2 to powers of 1 and 2, and we see 3 to powers of 1 and 2. The GCF is the product of the common factors to their lowest powers: (2^1)(3^1) = (2)(3) = 6

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To make one pack of cookies you need 34 cup of butter. How much butter is needed to make 4 1 / 2 pack of cookies?
stellarik [79]

Answer:

153 cups of butter

Step-by-step explanation:

1 pack=34 cups

1 pack(4.5 packs)=34 cups(4.5)

4.5 packs=153 cups of butter

5 0
3 years ago
Translate the sentence into an equation. The sum of 4 times a number and 7 equals 3
Snowcat [4.5K]

Answer:

4x + 7 = 3

Step-by-step explanation:

let the number be x

4 times x = 4x

sum of 4x and 7 = 4x + 7

Sum of 4x  + 7 is 3 becomes;

4x + 7 = 3

4 0
3 years ago
A Dodecahedron (12 sided die) is thrown, what is the P( odd OR a number greater than 6)?
djverab [1.8K]

Answer:

6 numbers greater than 6, plus 1,3 and 5- so nine total.

9/12, simplified 3/4

3 0
3 years ago
Margie needs to know the square footage for the first floor of the condo her client wants to make an offer on. The kitchen is 10
rodikova [14]

Answer: the total square footage is

850 ft³

Step-by-step explanation:

The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be

10 × 15 = 150 ft³

The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be

20 × 25 = 500 ft³

The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be

10 × 10 = 100 ft³

Also, the volume of the sunroom would be

10 × 10 = 100 ft³

Therefore, the total square footage is

150 + 500 + 100 + 100 = 850 ft³

3 0
3 years ago
Which of the following expressions is equal to 2x^(2)+8?
dusya [7]

Answer:

The expression equal to 2x^(2)+8 is:

First option (2x-4i)(x+2i)


Step-by-step explanation:

If we multiply

(2x-4i)(x+2i)=(2x)(x)+(2x)(2i)-(4i)(x)-4i(2i)

(2x-4i)(x+2i)=2x^(1+1)+4xi-4xi-8i^(1+1)

Simplifying:

(2x-4i)(x+2i)=2x^2-8i^2

and i^2=-1, then:

(2x-4i)(x+2i)=2x^2-8(-1)

Multiplying:

(2x-4i)(x+2i)=2x^2+8

4 0
4 years ago
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