Answer:
n = 13
Step-by-step explanation:
7n + 5 = 96
Subtract 5 from both sides to get rid of the 5 on the right side:
7n + 5 - 5 = 96 - 5
7n = 91
Divide both sides by 7 to get rid of the coefficient of n:
7n / 7 = 91 / 7
n = 13
Answer:
8.46 gallons needed to be replaced
Step-by-step explanation:
Let x be the alcohol amount that replaced
-Original has concentration of 15% multiply by the amount of 10 ,which is equal to (0.15×10).
-Removed has concentration of 15% multiply by the amount of x ,which is equal to (0.15 × X).
-Added has concentration of 80% multiply by the amount of X ,which is equal to (0.8× X).
-Solution has concentration of 70% multiply by the amount of 10 ,which is equal to (0.70×10).
So that, the equation will be:
Solution=Original + added - removed
7=1.5+0.8x-0.15x
7-1.5=0.65x
0.65x=55
x=55/0.65
x=8.46
8.46 gallons needed to be replaced.
Answer:
d=2√2, b=
Step-by-step explanation:
first triangle is a 30-60-90
so, sides x-x√2-2x
x=2
therefore d=2√2
second triangle is 45-45-60
sides, 1-1-√2
which means b√2=6
b=6/√2 ---> multiply by √2/√2 to get ride of the √2 denominator
b=6√2/4 , simplify
b=
Answer:
1500 dollars
Step-by-step explanation:
annual means yearly and we want to find how much it will cost for 5 months
First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12
3600/12=12 so it cost 300 dollars monthly
then we just multiply that by 5
5x300=1500 so it cost 1500 dollars for 5 months
HoHm : B means that starting at point B, you do a half-turn about m. This puts point B where A is. Continuing, this point is again allowed to to do a half-turn but this about o so that the point ends up at C.
The answer is Point C.<span />
