Answer: k=21
Step-by-step explanation:
1. Distribute the 9 to the k and the -4 in the parentheses.
9 · k = 9k and 9 · -4 = -36
You now have 9k - 36 - 7k. You can combine the like terms of 9k and -7k and get 2k, giving you 2k - 36.
2. For the other side of the equation, you also distribute -2 to the k and -8 in the parantheses.
-2 · k = -2k and -2 · -8 = 16
You now have 32 - 2k + 16. Combine the like terms 32 and 16 (32 + 16) and you get 48. This gives you the equation 48 - 2k.
3. Now you should have the equation 2k - 36 = 48 - 2k.
You want the k on one side of the equation so you need to cancel out one of them. I cancelled out -2k by adding 2k to it. You also need to add this 2k to your 2k on the other side of the equation.
Ex: 2k - 36 = 48 - 2k
+2k +2k
4. Now you should have 4k - 36 = 48. You need to get 4k by itself so cancel out -36 from both sides by adding 36 to -36 and adding 36 to 48.
You should now have 4k = 84 (48 + 36 = 84).
Divide both sides by 4 to get k by itself. 4 divided by 4 makes k and 84 divided by 4 equals 21. This makes k = 21, which is your answer.
Answer:
A) $192
Step-by-step explanation:
Given:
Yearly expense of Car insurance = $1130
Yearly expense of Vacation = $700
Yearly expense of home repairs = $468
we need to find the monthly allowance of Clark family.
First we find the total annual expense of Clark family.
Total Annual expense is equal to sum of Yearly expense of Car insurance and Yearly expense of Vacation and Yearly expense of home repairs.
Framing in equation form we get;
Total annual expense = 
Now we know that;
Number of months in a year = 12 months.
Total Monthly allowance will be equal to Total annual expense divided by Number of months in year.
Framing the equation we get;
Total Monthly allowance = 
Rounding to nearest dollar we get;
Total Monthly allowance of Clark family is $192.
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