Question

christa went shopping for back-to-school clothes. before the tax was added on, her total was $176. if the sales tax is 6%, what was the total amount she paid?

Answer 1

if x = 16, which equation is true? A. 4(24 - x) = 32 B. 2x + 20 = 50 C. 2(x + 5) = 41 D. 4x - 51 = 12

Answer 2

sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. she earned at least $329.75. if h represents the minimum number of hours that sara could have worked, which inequality represents all the possible values of h?

Answer 3

sara earned $7.25 per hour plus an additional $105 in tips waiting tables last week. she earned at least $329.75. if h represents the minimum number of hours that sara could have worked, which inequality represents all the possible values of h? A. 105h + 7.25 > 329.75 B. 105h + 7.25 < 329.75 C. 7.25 + 105 > 329.75 D. 7.25h + 105 < 329.75

Answer 4

To find the total amount she paid, we need to add the sales tax to the original total.

Sales tax amount = 6% of $176 = 0.06 * $176 = $10.56

Total amount she paid = $176 + $10.56 = $186.56

Therefore, she paid a total of $186.56.

Answer 5

To determine which equation is true when x = 16, we can substitute x with 16 in each equation and see which one makes the equation true.

A. 4(24 - x) = 32
Substitute x = 16
4(24 - 16) = 32
4(8) = 32
32 = 32

B. 2x + 20 = 50
Substitute x = 16
2(16) + 20 = 50
32 + 20 = 50
52 = 50

C. 2(x + 5) = 41
Substitute x = 16
2(16 + 5) = 41
2(21) = 41
42 = 41

D. 4x - 51 = 12
Substitute x = 16
4(16) - 51 = 12
64 - 51 = 12
13 = 12

Therefore, the equation that is true when x = 16 is A. 4(24 - x) = 32.

Answer 6

We can represent the total amount Sara earned as a function of the number of hours worked, h.

Total earnings = (hourly wage * hours worked) + tips
Total earnings = (7.25h) + 105

We are given that Sara earned at least $329.75, so we can write this as an inequality:

(7.25h) + 105 ≥ 329.75

Now we can solve this inequality for h:

7.25h ≥ 329.75 - 105
7.25h ≥ 224.75

Divide both sides of the inequality by 7.25 to solve for h:

h ≥ 224.75 / 7.25

h ≥ 31

Therefore, the inequality that represents all the possible values of h is h ≥ 31. This means that the minimum number of hours Sara could have worked is 31 hours.

Answer 7

To find the inequality that represents all the possible values of h, we need to set up the equation based on the given information.

Sara earned $7.25 per hour plus an additional $105 in tips. Let h represent the minimum number of hours.

Total earnings = (Hourly wage * Hours worked) + Tips

Since Sara earned at least $329.75, the inequality will be:

(7.25h) + 105 ≥ 329.75

Simplifying the inequality further:

7.25h + 105 ≥ 329.75

The inequality is represented by option A. 105h + 7.25 > 329.75.