Answer:
x=4
Step-by-step explanation:
In order to solve for x, we must isolate x on one side of the equation.
x+3x+5=21
First, combine like terms. x and 3x are both terms with variables, and can be combined.
(x+3x) + 5=21
4x + 5=21
5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.
4x+5-5= 21-5
4x= 16
x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.
4x/4=16/4
x= 16/4
x=4
Let's check our solution. Plug 4 in for x and solve.
x+3x+5=21
4+3(4)+5=21
4+12+5=21
16+5=21
21=21
This solution checks out, so we know our answer is correct.
x is equal to 4, x=4.
2x-3=6
2(3)-3=6
multiply the parenthesis
6-3=6
I hope this helped (:
Fraction of hour was spent by NAncy in lifting weights
Step-by-step explanation:
Time spent at the gym by Nancy = 
Time spent at lifting weights = 
What fraction of hour she spent in lifting weights?
Solving:
Fraction of hour she spent in lifting weights= Time spend at the gym-Time spent at lifting weights
Fraction of hour she spent in lifting weights=

So,
Fraction of hour was spent by Nancy in lifting weights
Keywords: Word Problems involving Fractions
Learn more about Word Problems involving Fractions at:
#learnwithBrainly
Answer:
a. True
Step-by-step explanation:
By ∝= 5% we mean that there are about 5 chances in 100 of incorrectly rejecting a true null hypothesis. To put it in another way , we say that we are 95% confident in making the correct decision.
In the given question the null hypothesis is
H0: u ≤ 1 hour and Ha: u > 1 hour
So there is a 5% chance that the erroneous conclusion will be made that students spend on average more than 1 hour per assignment.
The given statement is true.
g(x) = -3x² - 2x + 3
g(-2) = -3(-2)² - 2(-2) + 3
g(-2) = -12 + 4 + 3 = -5