Hello
the equation is y = ax+b
a the slop a = 4
y = 4x+b
the line <span>passes through (3, -10) : -10 = 6(3)+b
b = -28
</span>the equation is y = 6x-28
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
#SPJ1
This situation can be represented by a step function.If Jalyn purchases 60 shirts the total cost will be $600.At these prices it is cheaper to buy 76 shirts than it is to buy 75 shirts.
Common factor is 4X
Rewriting the term we get: 
Step-by-step explanation:
We need to find the common factor of the expression: 
A common factor is the term that is common in all the terms of the expression.
In the given expression the common factor is: 4X because it is common in both terms
So, Common factor is 4X
Rewriting the term we get:
Keywords: Factors
Learn more about factors at:
#learnwithBrainly
Cos(44°) = 90/ x
x = 125.1147
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the length of the string is 125.1147 feet
