Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
brainly.com/question/13729904
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Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 7, - 8) and (x₂, y₂ ) = (5, - 8)
m = 
= 
= 0
Answer:
do 24 points i know it very well
Well, the unit rate in the table is approximately 1.143 (8/7)
So, the only lines which have unit rate in between 1.143 and 2 are Line 3 (1.5) and Line 4 (1.2).
Answer:
104°
Step-by-step explanation:
let the second angle be x , then
the first angle is x + 24
the third angle is 4x , thus summing and equating to 180
x + x + 24 + 4x = 180, that is
6x + 24 = 180 ( subtract 24 from both sides )
6x = 156 ( divide both sides by 6 )
x = 26
Thus largest angle = 4x = 4 × 26 = 104°
