-6x + 7 = 8x + A
let x = -4
-6(-4) + 7 = 8(-4) + A
24 + 7 = -32 + A
31 + 32 = -32 + 32 + A
63 = 0 + A
A = 63
Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
The answer is 0.5. I hope this is helpful.
Answer:
1
Step-by-step explanation:
(⅔)(¾) + ½
½ + ½
= 1
We can rewrite the expression under the radical as

then taking the fourth root, we get
![\sqrt[4]{\left(\dfrac32a^2b^3c^4\right)^4}=\left|\dfrac32a^2b^3c^4\right|](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cleft%28%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%29%5E4%7D%3D%5Cleft%7C%5Cdfrac32a%5E2b%5E3c%5E4%5Cright%7C)
Why the absolute value? It's for the same reason that

since both
and
return the same number
, and
captures both possibilities. From here, we have

The absolute values disappear on all but the
term because all of
,
and
are positive, while
could potentially be negative. So we end up with
