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:
just took test
They both are complementary angles i.e their sum must equals 90°
4x+ 31 + 6x + 39 = 90
10x + 70 = 90
10x = 90-70
10x = 20
x = 2
we have to find angle ADC
just put the value of x in that expression for that angle.
angle ADC = 6x + 39 = 6 (2)+39 = 12 + 39 = 51°
<span>Amount
of Rice (cups) Amount of Water (cups)
2 5
3 7.5
5 12.5
8 20
Let's find the ratio of rice and water:
5 / 2 = 2.5 => 2 * 5 = 5
7.5 / 3 = 2.5 => 3 * 2.5 = 7
12.5 / 5 = 2.5 => 5 * 2.5 = 12.5
20 / 8 = 2.5 => 8 * 2.5 = 20
So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.
So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).
The amount of rice is
the dependent value. FALSE
The amount of water is the dependent value.TRUE
The
amount of rice is the independent value. TRUE
The amount of water is the
independent value.</span>FALSE
Answer:
yes you can go 24.3miles with 15.3 gallons of gas
Step-by-step explanation:
