Help With Math Questions!???

Question

1. Grace worked from 7:00 AM to 6:30 PM. She gets paid $13 per hour and "time and a half" for any hours over 8. How much did she get paid?
A. $152.75
B. $182.25
C. $193.75
D. $175.25
E. $172.25
2. -3 (5 - 2y) =
A. 30y
B. -15 - 6y
C -15 + 6y
D. 9y
E. 15 - 6y
3. 100 pens cost x dollars. How many pens can be purchased for 50 cents, assuming the same rate?
A. 50x
B. 100/x
C. 2x
D. 50/x
E. 500/x
4. If x = 3, then 4x2 + 2x - 5 equals
A. 145
B. 37
C. 25
D. 50
E. -37

Answer 1

2)Given that -3 (5 - 2y)

-15 + 6y  (option c)

4)Given that 4x^2 + 2x -5

And also given that x = 3

4(3)^2 + 2(3) - 5

= 4 (9) + 6 - 5

= 36 + 6 - 5

= 37 (option b)

Answer 2

1) Grace worked from 7am to 6.30 pm  total 11.50 hours.

8 hours and 3.50 hours extra.

8*13 = $104

Now grace works 3 to 6.30 pm

3.5 hours over time at 1.5 times her pay.

3.5*13*1.5 = $68.25

Total ammount = 104 + 68.25 = $172.25

Option E is correct choice.

3) Cost x is equal to number of pens n times price per pen p.

x = np

100 pens cost x dollars.

$x = 100

For one dollar  (100)/x pens.

$ = 100/x

Now we need to calculate n when x is 50 cents.

We know that  $ = 100 cents

50 cents=  $0.5

$ = 100/x

Divide each side by 2.

$0.5 = 50/x

Option D is correct choice.

Comments

What is the S standing for?

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$ indicates the dollar symbol .