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Artemon [7]
3 years ago
11

If 2m + 2p = 16, p equals

Mathematics
2 answers:
adelina 88 [10]3 years ago
8 0
2m + 2p = 16           Subtract 2m from both sides
         2p = 16 - 2m   Divide both sides by 2
           p = 8 - m
zzz [600]3 years ago
6 0
2m + 2p = 16....reduce by dividing by 2
m + p = 8
p = 8 - m or p = - m + 8
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a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Each of the equations can be solved as shown below:

a. 3x + 7 = - x - 1

3x + 7 + x  = - x - 1 + x (<em>addition property of equality</em>)

4x + 7  = - 1\\4x + 7 - 7 = -1-7 (<em>Subtraction property of equality</em>)

4x = -8\\\frac{4x}{4} = \frac{-8}{4}<em> (Division property of equality)</em>

<em />x = -2

b. 1 - 2x + 5 = 4x - 3\\

<em>Add like terms </em>

<em />6 - 2x = 4x - 3\\\\6 - 2x - 6 = 4x - 3 - 6 (<em>Subtraction property of equality</em>)

- 2x = 4x - 9\\-2x - 4x = 4x -9 - 4x<em> (Subtraction property of equality)</em>

<em />-6x = -9 \\\frac{-6x}{-6} = \frac{-9}{-6}<em> (Division property of equality)</em>

<em />x = \frac{3}{2}

c. 4x - 2 + x =-2 + 2x\\

5x - 2 = -2 + 2x\\5x - 2x = -2 + 2\\3x = 0\\ x = \frac{0}{3} \\x = 0

d. 3x - 4 + 1 = - 2x -5 + 5x\\

3x - 3 = - 7x -5\\3x + 7x = 3 - 5\\10x = -2\\x = \frac{-2}{10} \\x = -\frac{1}{5}

<em>The value of x in each </em><em>equation</em><em> are:</em>

<em />a. $ x = -2\\b. $ x = \frac{3}{2} \\c. $ x = 0\\d. $ x = -\frac{1}{5}

Learn more here:

brainly.com/question/1527981

5 0
3 years ago
Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?
saveliy_v [14]

Answer:

The value for r is 19.1 cm

Step-by-step explanation:

We have been given that  s = 16 cm, θ = 48° and we have to find the radius r.

We know the relation

\theta=\frac{s}{r}\\\\r=\frac{s}{\theta},\text{ where }\theta \text{ is in radian}

Hence, first of all convert the angle in radian

θ = 48°= 0.837758 radian

Therefore, we have

r=\frac{16}{0.837758}\\\\r=19.1\text{ cm}



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