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3 years ago

40x+24y-56. Get to factor the expression

Mathematics

1 answer:

ad-work [718]3 years ago

4 0

The factored form of given expression is:

$40x + 24y - 56 = 8(5x + 3y-7)$

Solution:

Given that we have to factor the given expression

Given expression is:

40x + 24y - 56

We can factor the expression by taking the greatest common factor out

When we find all the factors of two or more numbers, and some factors are the same , then the largest of those common factors is the Greatest Common Factor.

Find G.C.F of 40, 24 and 56

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

Then the greatest common factor is 8

Thus factor out 8 from given expression

$40x + 24y - 56 = 8(5x + 3y-7)$

Thus the given expression is factored

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Drew’s score on a math text was 92.He could earn an extra 1/2 point for each incorrect problem he corrected. Drew corrected 3 pr

svp [43]

Answer:

Point S represent the score 93.5 which is Drew's New Score.

Step-by-step explanation:

The score of Drew on a math test = 92

Point for each correction in the math test = 1/2 = 0.5

Now, the number of problems corrected = 3 x 0.5 = 1.5

So, Now, the new scale of Drew = Old Score + The Correction Score

= 92 + 1.5

= 93.5

or, Drew, new score = 93.5

Hence, point S represent the score 93.5 which is Drew's New Score.

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3 years ago

Evaluate the expression for x = -2, y = 3, z = -4. -4x + 5y + 6z *

babunello [35]

Answer:

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Step-by-step explanation:

Plug in given values

-4x + 5y + 6z

-4(-2) + 5(3) + 6(-4)

8 + 15 -24

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3 years ago

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5 is the result of 12 more than 3/4 of some number. What is the number?

iragen [17]

5= 12+3/4x, identify x

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-7(4/3)=x, -28/3=x

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3 years ago

Tim has been trying to lose weight. Through exercise, he was able to lose 5 pounds over 2 weeks. However, Mary lost 10 times as

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I think 50 pounds. I am not sure.

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3. You roll two fair dice, a white one and a red one. (a) Find P(5 or 6 on the white die and an odd number on the red die) (b) F

Elden [556K]

Answer:

a. P(5 or 6 on the white die and an odd number on the red die) = 1/6

b. P(odd number on the white die and 5 or 6 on the red die) = 1/6

c. P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/3

Step-by-step explanation:

(a) P(5 or 6 on the white die and an odd number on the red die)

Step 1: P(5 or 6 on the white die) = 1/6 + 1/6 = 1/3

Step 2: P(odd number on the red die) = 1/2

Step 3: P(5 or 6 on the white die and an odd number on the red die) = 1/3 × 1/2 = 1/6

(b) Find P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(odd number on the white die) = 1/2

Step 2: P(5 or 6 on the red die) = 1/6 + 1/6 = 1/3

Step 3: P(odd number on the white die and 5 or 6 on the red die) = 1/2 × 1/3 = 1/6

(c) Find P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die).

Step 1: P(5 or 6 on the white die and an odd number on the red die) = 1/6

Step 2: P(odd number on the white die and 5 or 6 on the red die) = 1/6

Step 3: P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/6 + 1/6 = 1/3

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3 years ago