Answer:
14) x = 6 and y = 8
15) x = -1 and y = 1
16) x = 7 and y = 10
Step-by-step explanation:
14) From the given parallelogram, we can say that;
PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.
Thus;
If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;
PT = TR
2x = y + 4
y = 2x - 4 - - - eq 1
Also;
QT = QS
x + 2 = y - - - eq 2
Put x + 2 for y in eq 1 to get:
x + 2 = 2x - 4
2x - x = 4 + 2
x = 6
Put 6 for x in eq 2 to get;
6 + 2 = y
y = 8
15) similarly from above;
x + 2 = y - - - eq 1
2x = y + 3
y = 2x + 3 - - - eq 2
Put 2x + 3 for y in eq 1;
x + 2 = 2x + 3
2x - x = 2 - 3
x = -1
Put -1 for x in eq 1 to gwt;
-1 + 2 = y
y = 1
16) similarly again;
y = x + 3 - - - (eq 1)
2y = 3x - 1 - - - (eq 2)
Put x + 3 for y in eq 2;
2(x + 3) = 3x - 1
2x + 6 = 3x - 1
3x - 2x = 6 + 1
x = 7
Put 7 for x in eq 1;
y = 7 + 3
y = 10
Thus, x = 7 and y = 10
Right now his test scores average to 78.5 which mean if he wants to get an 80 for the final average, the lowest he can score is 94%
Answer:
20 - 16y
Step-by-step explanation:
Given
5 - 5(2y - 3) - 6y ← distribute parenthesis
= 5 - 10y + 15 - 6y ← collect like terms
= (5 + 15) + (- 10y - 6y)
= 20 + (- 16y)
= 20 - 16y
The second one 24.86 ml
Hope its right :)
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>