Answer:
See explanation
Step-by-step explanation:
3(x + 4) + 2 = 2 + 5(x – 4)
Step 1: distributive property
3(x + 4) + 2 = 2 + 5(x – 4)
3x + 12 + 2 = 2 + 5x - 20
Step 2: collect like terms
3x + 12 + 2 = 2 + 5x - 20
3x + 14 = 5x - 18
Step 3: Addition property of equality
3x + 14 = 5x - 18
3x + 14 + 18 = 5x - 18 + 18
3x + 32 = 5x
Step 4: subtraction property of equality
3x + 32 - 3x = 5x - 3x
32 = 2x
Step 5: division property of equality
32 = 2x
32/2 = 2x/2
16 = x
x = 16
Answer:
-85.9 feet below sea level.
Step-by-step explanation:
Prime numbers from 1 to 50:
2, 3, 5, 7, 11, 13<span>, 17, 19, 23, 29, 31, </span>37,41<span>, </span>43<span>, </span><span>47</span>
Answer:
d. - 15
Step-by-step explanation:
The equation for direct variation is
y = kx
We know y =3 when x = -9
3 = k(-9)
Divide by -9
3/-9 = -9k/-9
-1/3 = k
The equation is then
y = -1/3 x
We know y = 5
5 = -1/3 x
Multiply each side by -3
-3*5 = -3*-1/3x
-15 = x
