<span>width = 90 tan43 degrees = about 84 feet </span>
Write and solve an inequality:
Total(t) = $5.42 + ($1.08/therm)(t) ≤ $87.50.
First, subtract $5.42 from $87.50: then ($1.08/therm)(t) ≤ $82.08
Next, divide both sides by $1.08 per therm:
t ≤ ($82.08) / ($1.08/therm) = 76 therms (maximum). Thus, Rameen's usage could be [0,76] (therms).
Answer:
Option B is the correct answer.
Step-by-step explanation:
Jen decides to read 100 pages the first day and 50 pages each day thereafter.
Number of pages read by Jen per day = 50
Number of pages read by Jen on first day = 100
Ariel's progress on reading the book is represented by the linear function y = 40x + 80, where y is the total number of pages read after x days.
Number of pages read by Ariel per day = 40
Number of pages read by Ariel on first day = 40 + 80 = 120
Option A:
Jen reads 20 pages per day more than Ariel
Wrong
Option B:
Ariel reads 10 pages per day less than Jen.
Correct
Option C:
Ariel read 20 pages less the first day than Jen read.
Wrong
Option D:
The reading rate each day for Jen and Ariel is the same.
Wrong
Option B is the correct answer.
Benchmark are numbers that are used as standards to which the rest of the data is compared to. When counting numbers using a number line, the benchmark numbers are the intervals written on the axis. For benchmark numbers of 10, the number line on top of the attached picture is shown. Starting from 170, the tick marks are added by 10, such that the next numbers are 180, 190, 200, and so on and so forth. When you want to find 410, just find the benchmark number 410.
The same applies to benchmark numbers in intervals of 100. If you want to find 170, used the benchmark numbers 100 and 200. Then, you estimate at which point represents 170. For 410, you base on the benchmark numbers 400 and 500.
We have been given that a rectangular yard is fenced in using 319 feet of custom fence Your friends really like the fence and decide to fence in their yard using the same fence. Their yard is similar but has a scale factor of 8/5 times the size of yours.
We are asked to find the length of fence that your friends should purchase.
Since the size of your friend's yard is
times your yard, so your friend should purchase
times the 319 feet.



Upon rounding our answer to nearest foot, we will get:

Therefore, your friends should purchase 510 feet of fence and option C is the correct choice.