The volume is found by multiplying the length by the width by the height.
Volume = 18 x 10 x 4 = 720 cubic feet.
Step-by-step explanation:
let the equation be y - y1 = 3/4(x - x1)
sub (4, 1/3):
y - 1/3 = 3/4(x - 4)
therefore answer is option 2.
Topic: coordinate geometry
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Answer:
Part A)
- 4.50 × 3 > 4.50 × 2
- 13.5 0 > 9
Part B)
Explanation:
1) The earnings are calculated multiplying the number of hours by the hourly rate.
2) The hourly rate of both Peter and Cindy is the same: $ 4.50 / hour
3) Let the variable used for computing the number of hours be h.
4) The number of hours Peter works every day is 3 hours, so, using the letter P to name Peter's earnings, the expression to calculate his earnings is:
5) Similarly, the expression to calculate Cindy's earnings would be:
<u>Answering part A)</u>
<u>Y</u>ou have to write an inequality to compare Peter's and Cindy's earnings:
- 4.50 × 3 > 4.50 × 2
- 13.5 0 > 9
This is, the earnings of Peter are greater than the earnings of Cindy.
<u>Part B)</u>,
You have to write an inequality to calculate Cindy's per-hour income so that she earns at least $ 14 a day.
- Here, C ≥ 14, because the sign ≥ means greater than or equal to, meaning the the earnings are greater than or equal to 14.
- Thus, since she works 2 hours per day, the inequality becomes 2 × r ≥ $ 14, where r is the per-hour income.
- To solve it follow these steps:
Given: 2r ≥ 14
Divide both sides by 2: r ≥ 14 / 2
Simplify: r ≥ 7
That means that Cindy's per-hour income should be at least $7 and hour so that she earns $14 a day.
We want to find an integer x such that
2/3 < x/5 < 6/7
The steps and final answer to the problem are shown in the attached image below. The final answer is x = 4. Feel free to ask any questions you may have about any of the steps.
