Answer:
<u>Option 2</u>
Step-by-step explanation:
Evaluating the options :
<u>Option 1</u>
- 2 |x - 5| - 4 < -8
- 2 |x - 5| < -4
- |x - 5| < -2
- Empty set as modulus cannot be less than 0
<u>Option 2</u>
- |2x - 1| - 7 < -6
- |2x - 1| < 1
- x < 1
- There is a solution set other than empty set
<u>Option 2</u> is the right answer.
Answer:
Let S = price of sweater
Let P = price of pants
S + P = 89.47 because that was the total spent
S = P - 8.53 because the sweater is 8.53 less than pants
Substitute P-8.53 in place of S in the
1st equation and solve for P
P - 8.53 + P = 89.47
2P - 8.53 = 89.47 add 8.53 to both sides
2P = 89.47 + 8.53
2P = 98.00 divide both sides by 2
P = 98.00/2
P = $49.00
S = P - 8.53
S = 49.00-8.53
S = $40.47
A sweater costs $40.47 and the pants cost $49.00
Answer: 46
Step-by-step explanation:
Largest prime number: 97
Smallest prime number: 51
97-51 = 46
Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
Direct variation is when one variable changes the other changes in proportion of the first, therefore all the above
