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4 years ago

What are four equivalent expressions for 50-10 , 42+18 , 24x-8x , 5n+15n , 4(2+7p) , and 3(6m+3)

1 answer:

Crank4 years ago

7 0

There are infinite equivalents for each of the expressions, for example:

50-10 =

= 60 - 20
= 30 + 10
= 10 + 30
= 1/3 * 120

42 + 18 =

= 78 - 18
= 100 - 40
= 59 + 1
= 2 * 30

24x - 8x =

= 8x + 8x
= 1x + 15x
= $\frac{32x}{2}$
= 20x * 4/5

5n + 15n =

= 25n - 5n
= $\frac{60n}{3}$
= 10n + 10n
= 2 * 10n

4 (2 + 7p) =

= 4 * 2 + 4 * 7p
= 8 + 28p
= 4 (7p + 2)
= 4 * 7p + 8

3 (6m + 3) =

= 3 * 6m + 3 * 3
= 18m + 9
= 3 (6 + 6m - 3)
= 6 (3m + 1 1/2)

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3 years ago

What does -2(-5x+9)-9x equal

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3 years ago

2 and 3/8 minus 3/4 is greater than or less than 2?

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4 years ago

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mars1129 [50]

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Step-by-step explanation:

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3 years ago

Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)

Gekata [30.6K]

Answer:

The pentagon MNPQR has a perimeter of 22 units.

Step-by-step explanation:

Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:

$p = MN + NP + PQ + QR + RM$ (1)

$p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}$ (1b)

If we know that $M(x,y) = (2,4)$ , $N(x,y) = (5,8)$ , $P(x,y) = (8,4)$ , $Q(x,y) = (8,1)$ and $R(x,y) = (2,1)$ , then the perimeter of the pentagon MNPQR is:

$p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}$ $p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}$

$p = 22$

The pentagon MNPQR has a perimeter of 22 units.

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3 years ago