Answer:
The first step is A. Subtraction
The second steep is D. Division
Step-by-step explanation:
The first step was done in other to remove the constant at one end of the equality that was with the variable, it was done in order to eradicate the constant and isolate the variable to make the equation easier to solve.
The second step was done in order to remove the coefficient of the variable so as the variable to be on it's own as x alone.
These two steps were just followed in order to find the value of the variable.
The prime factorization of 6000<span> = 2^4</span>•3•5^3.
<span>The prime factors of </span>6000<span> are 2, 3 and 5.</span>
Answer:
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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:9.0875
Step-by-step explanation:
[2.4–(0.3–3.21)÷2+0.44÷(−2)]÷ 2/5=
[4.8:2-(-2.91):2-0.44:2]:2/5=
=[(4.8+2.91-0.44):2]*5/2=
=[(7.71-0.44):2]*5/2=
=(7.27:2)*5/2=(7.27*5):(2*2)=
=36.35:4=9.0875
