Answer:
B. (2a +3b)(4a -c)
Step-by-step explanation:
Group the terms pairwise, then factor each pair.
... (8a² -2ac) +(12ab -3bc)
2a is a common factor in the first pair of terms; 3b is a common factor in the second pair of terms. We can factor those out.
... = 2a(4a -c) +3b(4a -c)
Then we see that (4a-c) is a common factor in the result. We can factor that out.
... = (2a +3b)(4a -c) . . . . matches selection B
Answer:
D
Step-by-step explanation:
The fruit punch has 2.4 gallons but x %
Apple juice has 5.6 gallons but 100 % or 1
The total mixture would then have 8 gallons and 82 %.
2.4+5.6=8
8×0.82 = 6.56
Then you would do 2.4x + 5.6(1) = 6.56
2.4x + 5.6 = 6.56
2.4x = 0.96
0.96/2.4 = 0.4 = 40%
Therefore, Brand A has 40% fruit juice
Answer:
6.2 units.
Step-by-step explanation:
We are given two angles and an opposite corresponding side. To solve for an unknown side, we can use the law of sines.
Cross multiplying and solving will get you this:
Which can simplify to:
Which putting into a calculator gets you:
So the line PR is 6.2 units long.
Answer:
18
Step-by-step explanation:
side length of triangle RST is 4 ✓ 3, 3 ✓ 3
So, area of triangle RST = 1/2 × 4✓ 3 × 3✓ 3 =18
