Answer:
q = 4
Step-by-step explanation:
4q - 8 = q + 4
3q - 8 = 4
3q = 12
q = 4
**Opposite sides in a parallelogram are congruent.
Answer:
a = 0.519
Step-by-step explanation:
14a + 13a + 8 = 22
27a = 14
a = 0.519
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.
<u>To solve this, we divide both sides by 1.29: </u>
</span>

<span> ≤ </span>

<span>;
x ≤15.5.
We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
Answer:
Tyrone paid the higher markup rate.
Step-by-step explanation:
Tyrone and Terri both bought sofas with installment loans.
Tyrone bought his own with a sticker price of $1350 by paying $74 a month for 24 months. Therefore,
74 × 24 = $1776
The mark up = $1776 - $1350 = $426
Tyrone markup rate = 426/24 = $17.75 per month
Terri bought his own with sticker price of $950 by paying $52 a month for 24 months. Therefore,
52 × 24 = $1248
mark up = $1248 - $950 = $298
Terri markup rate = 298/24 = $12.4166666667 = $12.42 per month
Answer:
B = (7, 2)
Step-by-step explanation:
B = 2M -A
B = 2(3, 4) -(-1, 6) = (2·3-(-1), 2·4-6)
B = (7, 2)
_____
The expression for the other end point, B, comes from the equation for the midpoint.
M = (A +B)/2
2M = A + B . . . . . multiply by 2
2M -A = B . . . . . . subtract A to get an expression for B