Answer:
The number is -2
Step-by-step explanation:
step 1
Find the reciprocal of 2/3
Remember that when multiply a number by its reciprocal, the result is 1
so
The reciprocal of 2/3 is 3/2
step 2
Let
x-----> the number added to the numerator and denominator
Solve for x
step 3
verify
substitute x=-2
Simplify
----> is ok
therefore
The number is -2
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:
B
Step-by-step explanation:
Answer:
A=hb b/2
Step-by-step explanation:
area=height(sub)base times base divided by 2