2justin has $110 to spend at the mall. he wants to buy a hat that costs $25 and a pair
of jeans that cost $40. he is also thinking about buying some bags of socks that cost
$12 each. there is no tax on any of his purchases.
which statements are true?
choose all that apply.
a
if x is the number of bags of socks justin can buy, then the inequality
representing this situation is x < 3.
b
if justin buys the hat and the jeans, solving the inequality 12x + 65 = 110 for x
will tell him the maximum number of bags of socks he can buy.
c
if justin buys the hat but not the jeans, solving the inequality 12x + 40 = 110
for x will tell him the maximum number of bags of socks he can buy.
d
if justin buys the hat, jeans, and the maximum number of bags of socks, he will
have enough money left to buy a belt that is on sale for $7.99.

Option B If Justin buys the hat and the jeans, solving the inequality for x, will tell him the maximum number of bags of socks he can buy

Option D. If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt that is on sale for $7.99

Step-by-step explanation:

Let

x ----> the number of bags of socks

we know that

The number of bags of socks that Justin can buy multiplied by it cost, plus the cost of the hat plus the cost of a pair of jeans, must be at most $110

so

The inequality that represent this situation is

solve for x

Combine like terms left side

subtract 65 both sides

Divide by 12 both sides

The maximum number of bags of socks is 3

If Justin buys the hat but not the jeans, then the inequality that represent this situation is

Verify each statement

case A) If x is the number of bags of socks Justin can buy, then the inequality  representing this situation is x < 3

The statement is false

The inequality that represent this situation is

The maximum number of bags of socks is 3

case B) If Justin buys the hat and the jeans, solving the inequality for x, will tell him the maximum number of bags of socks he can buy

The statement is true

see the explanation

case C) If Justin buys the hat but not the jeans, solving the inequality  for x will tell him the maximum number of bags of socks he can buy

The statement is false

Because the inequality will be

case D) If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt that is on sale for $7.99

The statement is true

Because

The total cost is

The amount of money left is

therefore

If Justin buys the hat, jeans, and the maximum number of bags of socks, he will  have enough money left to buy a belt

step-by-step explanation:

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation: