Answer:
Area = base * height
224 = 16 * height
height = 14
The height is 14 centimeters.
Your answer is c.
Answer:
q = 3 + 1/2r
Step-by-step explanation:
10q - 5r = 30
We want to solve for q
Add 5r to each side
10q - 5r+5r = 30+5r
10q = 30+5r
Divide by 10
10q/10 = 30/10 +5r/10
q = 3 + 1/2r
Answer:
The 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Step-by-step explanation:
As given
6% butterfat milk and 3% butterfat milk should be mixed to yield 30 quarts of 5% butterfat milk .
Let us assume that x quarts are used for 6% butterfat milk .
Than (30 - x) quarts are used for 3% butterfat milk .
6% is written in the decimal form

= 0.06
3% is written in the decimal form

= 0.03
5% is written in the decimal form

= 0.05
Than the equation becomes
0.06 × x + (30 - x) × 0.03 = 30 × 0.05
0.06x + 0.9 - 0.03x = 1.5
0.06x - 0.03x = 1.5 - 0.9
0.03x = 0.6

x = 20 quarts for 6% butterfat milk .
(30 - x ) = (30 - 20) = 10 quarts for 3% butterfat milk .
Than 20 quarts are used for 6% butterfat milk and 10 quarts are used for 3% butterfat milk .
Answer:
Do C and D (Option 3 + 4)
Answer:
The short answer is there isn’t.
Start by writing each of these as an expression:
x * y = 60
x + y = 7
Next, solve each for the same variable; in this case, y:
(x * y) / x = 60 / x
.: y = 60 / x
(x + y) - x = 7 - x
.: y = 7 - x
Next, replace y of the second expression to the first
y = 60 / x & y = 7 - x
.: 7 - x = 60 / x
Now, solve for x:
(7 - x) * x = (60 / x) * x
.: x * 7 - x^2 = 60
This is quadratic, so write it in the form of ax2 + bx + x = 0
(-1)x^2 + (7)x + (-60) = 0
.: a = -1, b = 7, c = -60
Finally solve for b:
x = (-b +- sqrt(b^2 - 4*a*c)) / 2a
.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)
.: x = (-7 +- sqrt(49 - 240)) / -2
.: x = (-7 +- sqrt(-191)) / -2
The square root of a negative value is imaginary and thus there’s no real answer to this problem.