Hi!
So obviously we have to divide each side by -5. It's pretty simple! Let me show you...
-125 ≥ -135
-125/-5 ≥ -135/-5
dividing 2 negative numbers make a positive
25 ≥ 27
Now that the expression has changed, we have to flip the inequality sign.
25 ≤ 27
^the answer
Hope this helps! :)
Option A

<em><u>Solution:</u></em>
<em><u>Given expression is:</u></em>

<em><u>Product of powers property:</u></em>
The product of powers property tells us that when you multiply powers with the same base you just have to add the exponents
Which is represented as,

<em><u>Therefore, the given expression becomes,</u></em>

Now add the exponents, we get

Simplify the above expression

Simplify the exponent of y, we get

Thus Option A is correct
Step-by-step explanation:
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4)
12/16=21/b
multiply both sides by b
(12/16)b=21
now multiple both sides by (16/12)
b = 21 (16/12) =28
5)
rate is distance / time or time/distance
train travels 279 km per 1.5 hr =270/1.5
or
1.5 hr per 270 =1.5/27p
answer choice a and c matches that.
looking at choice C...270km/1.5hr=5hr/270km
looking at choice A.. 1.5hr/270km=5hr/k km
the units don't match for choice C so the
right answer is A
6)
1.5/270=5/k
multiply both sides by k
(1.5/270)k=21
now multiple both sides by (270/1.5)
k = (270/1.5)21= 900
7) 75 points per 6 game
75 points / 6 games
75/6=P/20
multiply both sides by 20
(75/6)20=P
P=250
After 10 minutes, he's 40 miles away. After 22 minute, he's 34 miles away. Therefore, in those 12 minutes between, he covered 6 miles. We can make a ratio out of this: 6/12 = 0.5, so he is walking at a rate of 0.5 mi/min (miles per minute). Finally, we can set x/90 equal to 0.5/1 because he is walking at the same rate the entire time. Cross multiply to solve for x. Finally, you get that he had to travel 45 miles in 90 minutes, so his home is 45 miles away from his grandmother's.