Answer:
x = -2.585
Step-by-step explanation:
You will have to plug this into your graphing calculator.
In y=, type 5(1/2)^x in the Y1 and type 30 in Y2.
When you hit 2nd trace and hit find intersections, you will get (-2.585, 30).
The answer is x = -2.585
Let's solve your equation step-by-step.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4
</span></span>Step 1: Simplify both sides of the equation.<span><span>−<span>8<span>(<span>y+4</span>)</span></span></span>=<span><span>10y</span>+4
</span></span><span>Simplify: </span><span><span><span><span>(<span>−8</span>)</span><span>(y)</span></span>+<span><span>(<span>−8</span>)</span><span>(4)</span></span></span>=<span><span>10y</span>+4</span></span>(Distribute)<span><span><span><span>−<span>8y</span></span>+</span>−32</span>=<span><span>10y</span>+4</span></span><span><span><span>−<span>8y</span></span>−32</span>=<span><span>10y</span>+4
</span></span>Step 2: Subtract 10y from both sides.<span><span><span><span>−<span>8y</span></span>−32</span>−<span>10y</span></span>=<span><span><span>10y</span>+4</span>−<span>10y</span></span></span><span><span><span>−<span>18y</span></span>−32</span>=4
</span>Step 3: Add 32 to both sides.<span><span><span><span>−<span>18y</span></span>−32</span>+32</span>=<span>4+32</span></span><span><span>−<span>18y</span></span>=36
</span>Step 4: Divide both sides by -18.<span><span><span>−<span>18y</span></span><span>−18</span></span>=<span>36<span>−18</span></span></span><span>y=<span>−2
</span></span>Answer:<span>y=<span>−<span>2
Good luck mate :P</span></span></span>
So, the question is 63 is 30% of what number?
That can translate to the equation
63 = 30% · x or 63 = 0.3x
Divide by 0.3 and you get x = 210.
There are 210 students in band.
Answer:
2.70 hours to travel 180 mi.
Step-by-step explanation:
The distance traveled (d) varies directly as the time (t) of travel, by the following formula:
In which s is the velocity.
It takes 63 min to travel 70 mi.
So i am going to find the velocity in miles per minute
how many hours would it take to travel 180 mi?
I am first going to find the time in minutes, then divide by 60 to pass to hours.
It takes 162.16 minutes = 162.16/60 = 2.70 hours to travel 180 mi.
6
Slope is change in y over change in x. -2-4 is -6, and -6- -5 which is -6+5 is -1. -6 over -1 is positive 6, so the slope is 6.
