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3 years ago

Simplify the expression by combining like terms. 22+5−4+7−8

Mathematics

2 answers:

daser333 [38]3 years ago

6 0

Answer:

Step-by-step explanation:

$25 + 5 = 27$

$27 - 4 = 23$

$23 + 7 = 30$

$30 - 8 = 22$

lana [24]3 years ago

4 0

22+5-4+7-8
27-4+7-8
23+7-8
30-8
22

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3 years ago

15d^3+30d^2+30d/3d3 what is the answer if you divide the following

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When you separate them
$\frac{15d^{3} }{ {3d}^{3} } + \frac{30d^{2} }{ {3d}^{3} } + \frac{30d }{ {3d}^{3} } = x$
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3 years ago

What is the factor for the expression - 3x + 6

Archy [21]

Hello from MrBillDoesMath!

Answer:

3 ( -x + 2) is the factorization; 3 is the common factor

Discussion:

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Thank you,

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2 years ago

The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

2 years ago