E=equation questions
v=vocab questions
26 questions
e+v=26
total 10 points
2e+5v=100
so we gots
e+v=26 and
2e+5v=100
elimination
multiply first equation by -2 and add to 2nd equation
-2e-2v=-52
<u>2e+5v=100 +</u>
0e+3v=48
3v=48
divide both sides by 3
v=16
sub back
e+v=26
e+16=26
minus 16 both sides
e=10
10 equation questions
16 vocab questions
To figure out the total amount of hours an employee works, we have to multiply the total amount of employees by the amount of hours each employee would work.
To simplify the mixed fraction of hours they work, convert the mixed fraction into an improper fraction:

Multiply the whole number by the denominator:

Add this number to the numerator to convert the mixed fraction into an improper fraction:


Now we can multiply the two numbers together (note that a whole number can be treated as the number above the denominator 1):
5 employees working 94/15 hours a day:

To simplify this fraction, divide the numerator by the denominator:

The whole number stays as a number, and the remainder is the new numerator:

The fraction can be further simplified by dividing both the numerator and denominator by the greatest common factor:
Factors of 5: {1,
5}
Factors of 15: {1,3,
5,15}


The 5 employees will work a total of
31 and 1/3 hours a day.
Perimeter, P = 2*(L + W)
Length, L = 14, Width = x
P = 2*(L + W)
38 = 2*(14 + x).
2*(14 + x) = 38, is the equation used to find x.
Let's go ahead and solve for x, though the question did not ask us to solve it.
14 + x = 38/2
14 + x = 19
x = 19 - 14
x = 5
Width is 5 inches.
Answer: (- 2h + 1) + 2(3h - 4) = 4h -7
Step-by-step explanation:
First, remove unnecessary parentheses
- 2h + 1 + 2(3h - 4)
then distribute 2 through the parentheses
- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8
Combine like terms
-2h + 1 + 6h -8 = 4h + 1 - 8
1-8= 7
So the answer is
4h - 7
8x + 3c = 2200
11xc= 2200
2200÷11
200
200xc