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Kruka [31]
3 years ago
12

Factor out the GCF of the expression:

Mathematics
1 answer:
Leni [432]3 years ago
5 0

Answer:

The GCF of 25 and 35 is 5.

Explanation:

One way to find the GCF is to find the prime factorization of each number. So,

25=52

35=5⋅7

Now, we can find all the factors 25 and 35 have in common. We see that 25 and 35 both have a 5, but not 52 because 35 only has one 5.

35 also has a 7, but that is not in the prime factorization of 25, so we do not include it. Since there is only one common factor which is 5, that is our "greatest common factor

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The tens digit is twice the units digit. Reverse the digits, add 2 and the new number is 34 less than the original number. Find
inna [77]

Answer:

Step-by-step explanation: X and Y represent the digits.

The tens digit is twice the units digit.

The digit in the Tens place has 10× its base value, so we can set up equations to model the information given.

10x +y 10y +x are Original & Reversed numbers

X = 2y means the Tens digits is twice the units digit.

10y + x +2 = 10x +y - 34 models the statement: The reversed number plus two is 34 less than the original number.

Substitute 2y for x to solve for y

10y +2y +2= 10(2y) + y -34

Distribute and combine like terms

12y + 2 = 20y +y - 34

34 +2 = 21y -12y

36 = 9y Divide both sides to find the value of y.

4 = y

X = 2(4) Substitute 4 for y to find x

X = 8

Original number: 84 Reversed number: 48

Substitute into equation model

48 +2= 84 -34

50 = 50

True!

3 0
3 years ago
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Tems11 [23]
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7 0
3 years ago
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Fatima evaluated the expression when m = -2 and n = 4. Her work is shown below.
Kruka [31]

Answer:

The answer to your question is: third option is correct.

Step-by-step explanation:

The third option is correct

                                           4(-2)⁻²(4)⁻³

                                           \frac{4}{(2)^{2}(4)^{3}}}

                                           

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Answer:

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Step-by-step explanation:

7 0
3 years ago
Simplify the following expression completely using distribution and combining like terms
LiRa [457]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • Simplify ⇨ 19m + 14 - 3 (3m + 7)

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

\sf \: 19 m - 14 - 3 ( 3 m + 7 )

Use the distributive property to multiply -3 by 3m+7.

\sf \: 19m-14-9m-21

Combine 19m and -9m to get 10m.

\sf \: 10m-14-21

Subtract 21 from -14 to get -35.

\boxed{\boxed{\bf \: 10m-35 }}

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3 years ago
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