Answer:
- 6 2/3 qt 80%
- 13 1/3 qt 20%
Step-by-step explanation:
It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.
__
We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...
0.80x +0.20(20-x) = 0.40(20)
0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify
x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution
(20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed
The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.
Answer:
-0.5x² + 20x + 100
Step-by-step explanation:
Given:
R = 25x - 0.5x²
C = 100 + 5x
P = R - C
Where,
P = profits
R = Revenue
C = Cost
which expression represents her profit in dollars?
P = R - C
R = 25x - 0.5x²
C = 100 + 5x
= 25x - 0.5x² -(-100 + 5x )
= 25x - 0.5x² + 100 - 5x
= -0.5x² + 20x + 100
The expression which represents her profit in dollars is -0.5x² + 20x + 100
Answer:
tqweryetqwewrqfvwrq
Step-by-step explanation:
Answer: A=70 square units
Step-by-step explanation:
The area of a triangle can be found using the formula 
Let 5=h and 7=b
Plug in the values and solve
However, since four of these triangles make up this rhombus, we can multiply the area of one of these triangles by four to find the area of the whole rhombus.
Answer:
17
Step-by-step explanation:
Eliminating parentheses, we have ...
... 1 - 5q +2·2.5q +2·8
... = 1 -5q +5q +16 . . . . . carry out the multiplication
... = q(-5+5) +(1 +16) . . . . group like terms
... = q·0 +17 . . . . . . . . . . . combine like terms
... = 17
