Answer:
3w² = 243
Step-by-step explanation:
Width = w
Length = 3w
Area = 243 square units
length *width = 243
3w * w = 243
3w² = 243
Answer:
15n=-75
Step-by-step explanation:
Since product means multiplication, 15 would have to be multiplied by n to equal -75.
X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
Answer:
10 feet.
Step-by-step explanation:
I am assuming this is a right triangle. We use Pythagoras theorem:
h^2 = 6^2 + 8^2
h^2 = 100
h = 10 feet.
-x + 4 and that is the correct answer