Answer:
Step-by-step explanation:
<u>Given:</u>
- Total certificates = 500
- Math = m
- Science = s
<u>Equations </u>
<u>Girls who won certificates:</u>
- 2/3m = 50 + 3/2*1/2s
- 2/3m = 50 + 3/4s
<u>Multiply both sides by 12 to clear fractions</u>
<u>Substitute s</u>
- 8m = 600 + 9(500 - m)
- 8m = 600 + 4500 - 9m
- 17m = 5100
- m = 5100/17
- m =300
<u>Girls who won math:</u>
Answer:
19
Step-by-step explanation:
g(x) = x^2 – 2x + 11
Let x=-2
g(-2) = (-2)^2 – 2(-2) + 11
Powers first
=4 -2(-2) +11
Then multiply
= 4 +4 +11
Now add
= 19
Answer:
2/5
Step-by-step explanation:
The multiplicative inverse of 2.5 is 2/5 or 0.4. We have a rule that states that the the multiplicative inverse of a fraction a/b is b/a.
Answer: C. $1071.30
Step-by-step explanation:
I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.
