Hello there!
The correct answer is 13 1/3 yd².
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Answer:
7x + 14
Step-by-step explanation:
the first thing to do is expand the parentheses/brackets.
3(5x + 2) -2(4x - 4) will be
3(5x) + 3(2) -2(4x) -2(-4)
= 15x + 6 - 8x + 8
collect like terms
15x - 8x + 6 + 8 = 7x + 14
the answer is 7x + 14
Writing in percentages is actually writing a fraction with 100 on its denominator.
By doing so, we can easily compare data.
For example 1/2 may be written as 50/100 and it is denoted by 50%.
So, in your question, 77% means 77/100.
Since fractions represent ratios, writing in ratio form, we get 77:100. The answer is (b)77:100
|DF| = |DE| + |EF|
|DF| = 9x -36
|DE| = 47
|EF| = 3x+10
Substitute:
9x - 39 = 47 + 3x + 10
9x - 39 = 3x + 57 |+39
9x = 3x + 96 |-3x
6x = 96 |:6
x = 16
Put the value of x to the equation |EF| = 3x + 10
|EF| = (3)(16) + 10 = 48 + 10 = 58
Answer: |EF| = 58
We have $8.50 an hour gross minus $2.15 an hour tax and bennys. Then $3.75 daily expense. In one week our net take-away y after x hours is
y = x(8.50 - 2.15) - 5(3.75)
That's the answer, or we can simplify it to
Answer: y = 6.35 x - 18.75
Answer: The slope, 6.35, is the net dollars per hour <em>before weekly expenses.</em>
Answer: The y intercept, -18.75, is the weekly expense, negative because it's an expense.
To make $120 in a week, we solve for x where y=120
120 = 6.35x - 18.75
138.75 = 6.35 x
x = 138.75 / 6.35 = 21.8503937007874
That wasn't the nice round number I was expecting/hoping for. I don't see a mistake so let's go with
Answer: 21.85 hours to make $120