Answer: x= -2
Step-by-step explanation: first step is to add 7 to both sides. You’re left with -6x-22=5x. After this you’re going to add 6 to both sides. You get -22=11x. Now you divide both sides by 11 to get X by itself. You’re left with -2.
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers 
of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs 
meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.
Answer:
a= 6
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
3/8 = (3 - 0)/(a - (-2))
cross multiplying,
3(a + 2) = 3(8)
3a + 6 = 24
3a = 18
a = 18/3
a = 6
<span>No.
To check this yourself, you need the denominators to be the same to be able to easily compare the two.
For example, does 5/8 = 40/64?
1. Determine what you would need to do to the denominator in 5/8 to make it 64. (Multiply it by 8)
2. Find what fraction is equal to 1 with a denominator of 8. (8/8)
3. Multiply the fraction 5/8 by the one you just found (8/8), numerator times numerator, denominator times denominator.
4. Compare the answer with the second fraction.
It is important that when you multiply the denominator by any number you multiply the numerator by the same number. This is to preserve the fraction's value. This works because any number divided by itself is equal to 1, AND when you multiply any number by 1 (whether 1 is in the form of 1 or 4/4 or 8/8 or 234/234), the answer is always equal to the original number.
Another way to check would be to simply enter 1/2 into a calculator, write down the answer. Next enter 5/8 into a calculator. If the answers are the same, they are equal.</span><span>
</span>
Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x
Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
