Answer:
a. x=8
b.Step 1: Simplify both sides of the equation.
2(2x−2)=4x−4
(2)(2x)+(2)(−2)=4x+−4(Distribute)
4x+−4=4x+−4
4x−4=4x−4
Step 2: Subtract 4x from both sides.
4x−4−4x=4x−4−4x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
All real numbers are solutions.
c. Step 1: Simplify both sides of the equation.
3(x+1)=4x+7−x
(3)(x)+(3)(1)=4x+7+−x(Distribute)
3x+3=4x+7+−x
3x+3=(4x+−x)+(7)(Combine Like Terms)
3x+3=3x+7
3x+3=3x+7
Step 2: Subtract 3x from both sides.
3x+3−3x=3x+7−3x
3=7
Step 3: Subtract 3 from both sides.
3−3=7−3
0=4
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Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.
Answer:
The required volume is 5 ml.
Step-by-step explanation:
Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.
To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?
Solution :
According to question we use the formula,
The percentage of a blood alcohol level is 0.100%
The total volume of the blood is V=5L=5000 ml.
Substitute the value in the formula,
Therefore, the required volume is 5 ml.