<h3>
Answer: -1 < x < 3</h3>
Work Shown:
| x-1 | < 2
-2 < x-1 < 2 ... see note1 below
-2+1 < x-1+1 < 2+1 ... see note2
-1 < x < 3
- Note1: use the rule that |x| < k turns into -k < x < k for some positive real number k.
- Note2: Add 1 to all sides to isolate x
perimeter = sum of all sides
27 = 9+7.8+x
x (third side) = 10.2
Answer:
- <u>Faisal will receive $ 241</u>
- <u>Ahmed will receive $ 482</u>
- <u>Walid will receive $ 723. </u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Profit Ahmed, Walid and Faisal made from selling used books = $ 1,446
Ahmed to receive double amount of Faisal
Walid to receive triple amount of Faisal
2. How much does each one receive?
- Let x to represent the amount Faisal to receive
- Let 2x to represent the amount Ahmed to receive (double amount of Faisal)
- Let 3x to represent the amount Walid to receive (triple amount of Faisal)
Therefore, we have:
x + 2x + 3x = 1,446
6x = 1,446
x = 1,446/6
x = 241 ⇒ 2x = 482 ⇒ 3x = 723
<u>Faisal will receive $ 241, Ahmed will receive $ 482, and Walid will receive $ 723. </u>
Answer:
See below.
Step-by-step explanation:
Shape A is congruent to shape <u>___F___</u>, as shown by a reflection across the y-axis and then a translation down <u>__3___</u> units. B is congruent to shape <u>__D__</u>, as shown by a reflection across the y-axis and then a translation down <u>__2___</u> units
