let x =the number
Step-by-step explanation:
81+x=3x-39
group like terms
81+39=3x-x
120=2x
120/2=2x/2
60=x
therefore x =60
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:
A
Step-by-step explanation:
m<15 = m<1 because of how the transversals are placed. so m<1 = 90º - 65º = 25º
that means that m<15=25º
The equation that relates the time, t, it takes to travel a given distance, d is d = rt
<h3>What is Speed?</h3>
This is a scalar quantity and can be defined as the magnitude of the rate of change of its position with time.
d = rt
where d is distance, r is speed or rate, t is time.
We can calculate the time by dividing the distance with the rate (speed).
t = d/r
This is why it was chosen as the most appropriate choice.
Read more about Speed heere brainly.com/question/4931057
Answer:
Yup
Step-by-step explanation:
Nice!!!!
