Step-by-step explanation:
x = ounces of 20% solution
15% = 0.15
20% = 0.2
17% = 0.17
x × 0.15 + 8×0.2 = (8 + x)×0.17
x×0.15 + 8×0.2 = 8×0.17 + x×0.17
8×0.2 = 8×0.17 + x×0.02
8×0.03 = x×0.02
x = 8×0.03/0.02 = 12 ounces
we need to mix the 8 ounces of 20% with 12 ounces of 15% to get 17% alcohol (8 + 12 = 20 ounces of it).
Answer:
the length of the diagonal BD is 8 cm
Step-by-step explanation:
The computation of the length of diagonal BD is as follows
Here the trapezoid diagonals divides each other in an equivalent ratio
So, equation would be
AO ÷ OC = OB ÷ OD
Now put there values to the above equation
3 ÷ 1 = 6 ÷ OD
3OD = 6
Now divided it by 3 in both the sides
OD = 2
Now the BD would be
= BO + OD
= 6 + 2
= 8 cm
hence, the length of the diagonal BD is 8 cm
Answer:
B
Step-by-step explanation:
Answer:C
Step-by-step explanation:
I got it right so the answer is C.
Answer:
x + 2y = -1
Step-by-step explanation:
First, we'll find the slope.
Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2
Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:
y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use
y = -1/2(x + 5) + 2
y = -1/2x - 1/2
Standard form:
1/2x + y = -1/2
x + 2y = -1
