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:
The scale model giraffe is 5 inches tall.
Step-by-step explanation:
Since the artist sculpted the figure of the giraffe with a scale of 1 inch = 4 feet, and that the real giraffe that lives in the zoo is about 20 feet, to determine the size of the sculpted giraffe to scale it is necessary to perform the following calculation:
20/4 = X
5 = X
Thus, the scale sculpted giraffe that will be sold in the gift shop measures 5 inches.
Answer:
13.8 square feet
Step-by-step explanation:
To find the area of a triangle you use the formula a = 1/2 bh
a = 1/2 (6.9) (4) = 13.8
(simplier to understand) a = 1/2 (6.9) (4) = 27.6 divided by 1/2 = 13.8
What do you need help on exactly?
Answer:
84
Step-by-step explanation:
Using pythag theorem we can find the last side of the triangle, which is equal to 5 after we have this we simply add up the areas of each individual shape like (1/2*3*4)+(1/2*3*4)+(6*5)+(3*6)+(4*6)