Answer:
x^15
Step-by-step explanation:
Recall these rules of exponents:
(a^m)^n = a^mn
a^m • a^n = a^(m + n)
(x^6)² • x³ = x^(2 • 6) • x³ = x^12 • x³ = x^(12 + 3) = x^15
Answer:
Im pretty sure the anwer is B.
Step-by-step explanation:
I really hope this helps! I think this is the answer, Have an AWSOME day :)
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Answer:
176 of 12% vinegar
44 of 7% vinegar
Step-by-step explanation:
Percentage vinegar required = 11%
Volume = 220 mL
First brand % = 7%
Second brand % = 12%
Let p = volume of 12% vinegar material
Mixture :
0.12p + 0.07(220 - p) = 220 * 0.11
0.12p + 15.4 - 0.07p = 24.2
0.05p = 8.8
p = 8.8 / 0.05
p = 176
176 of 12% vinegar and
220 - 176 = 44
44 of 7% vinegar
1.7 as a fraction is 17/10
1.(7) the 7 in the parentheses represents the number after the decimal, which is in the tenths spot. 10 tenths + 7 tenths = 17/10 <-- our answer.