Let's solve your equation step-by-step.<span><span>−<span>4<span>(<span>r+2</span>)</span></span></span>=<span>4<span>(<span>2−<span>4r</span></span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>4<span>(<span>r+2</span>)</span></span></span>=<span>4<span>(<span>2−<span>4r</span></span>)</span></span></span><span>Simplify</span><span><span><span><span>(<span>−4</span>)</span><span>(r)</span></span>+<span><span>(<span>−4</span>)</span><span>(2)</span></span></span>=<span><span><span>(4)</span><span>(2)</span></span>+<span><span>(4)</span><span>(<span>−<span>4r</span></span>)</span></span></span></span>(Distribute)<span><span><span><span>−<span>4r</span></span>+</span>−8</span>=<span><span>8+</span>−<span>16r</span></span></span><span><span><span>−<span>4r</span></span>−8</span>=<span><span>−<span>16r</span></span>+8</span></span>Step 2: Add 16r to both sides.<span><span><span><span>−<span>4r</span></span>−8</span>+<span>16r</span></span>=<span><span><span>−<span>16r</span></span>+8</span>+<span>16r</span></span></span><span><span><span>12r</span>−8</span>=8</span>Step 3: Add 8 to both sides.<span><span><span><span>12r</span>−8</span>+8</span>=<span>8+8</span></span><span><span>12r</span>=16</span>Step 4: Divide both sides by 12.<span><span><span>12r</span>12</span>=<span>1612</span></span><span>r=<span>43</span></span>Answer:<span>r=<span>4<span>3</span></span></span>
Answer:
1/2 of the coconut.
Step-by-step explanation:
1/5 is equal to 2/10, so we can add these two fractions as 3/10 + 2/10, or 5/10. Simplifying this gets us 1/2, so you and your friend eat, in total, half of the coconut.
Answer:
p = 7.50h
Step-by-step explanation:
The answer has to be in the form of p =, since p is the pay which represents our y value, and the hours worked represents our x value. You can find the slope of the line by using the formula and any two points on the table:

That simplifies to 7.5. So the slope of the line is 7.5. We also know that the line goes through the origin (0, 0), which means, according to our data (and any data in the real world) that if you work 0 hours (x) you get 0 pay (y). So the y intercept of the line is 0. The equation, then, in slope-intercept form, is
p = 7.50h, the first choice. This means that the employee makes $7.50 per hour and should probably consider a new job.
Answer:
x = -1/2
Step-by-step explanation:
1-3x = x+3
Add 3x to each side
1-3x+3x = x+3x+3
1 = 4x+3
Subtract 3 from each side
1-3 = 4x+3-3
-2 = 4x
Divide each side by 4
-2/4 = 4x/4
-1/2 =x
Answer:

Step-by-step explanation:
Assuming the given logarithmic equation is

We interchange x and y to get:

We solve for y now:

We add 4 to both sides to get;

Divide through by 4:
