Answer:
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Step-by-step explanation:
Let x liters be the amount of 20% solution and y liters be the amount of 50% solution Tasha takes.
1. Tasha needs 75 liters of a 40% solution of alcohol. Then
x + y = 75
2. There are
- liters of alcohol in x l of 20% solution
- liters of alcohol in 50% solution
- liters of alcohol in 75 liters of 40% solution
In total, of alcohol that is 30 l, so
0.2x + 0.5y = 30
3. Solve the system of two equations:
From the first equation:
Substitute it into the second equation
Tasha should mix 25 liters of 20% solution and 50 liters of 50%.
Answer:
Step-by-step explanation:
we know that
so
using proportion
Convert 360 degrees to radians
Answer:
200 divided by 24=8.3
8.3 times 180 g flour=1500 g flour
1500 grams of flour is needed to make 200 cookies
Step-by-step explanation:
Answer:
R1: Given
R2: Subtraction Property of Equality
R3: Distribute Property
R4: Addition Property of Equality
R5: Division Property of Equality
Write a paragraph proof for the following conjecture: m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°
Given: ∠1 + ∠2 = ∠ 4
∠4 + ∠3 must be 180° because they are supplementary
If ∠4 + ∠3 is 180, and ∠1 + ∠2 = ∠4, you can substitute ∠4 in the first equation for ∠1 + ∠2.
Hence, we arrive at the answer ∠1 + ∠2 + ∠3 = 180.
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