Mathematics, 18.01.2020 00:31 dajahp

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.

Answers: 1

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Answers

Option B If Justin buys the hat and the jeans, solving the inequality $12x+65\leq 110$ 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

The inequality that represent this situation is

$12x+25+40\leq 110$

solve for x

Combine like terms left side

$12x+65\leq 110$

subtract 65 both sides

$12x\leq 45$

Divide by 12 both sides

$x\leq 3.75$

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

$12x+25\leq 110$

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 $x\leq 3.75$

The maximum number of bags of socks is 3

case B) If Justin buys the hat and the jeans, solving the inequality $12x+65\leq 110$ 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 $12x+40\leq 110$ for x will tell him the maximum number of bags of socks he can buy

The statement is false

Because the inequality will be $12x+25\leq 110$

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

$12(3)+25+40=\$101$

The amount of money left is $\$110-\$101=\$9$

$\$9 \$7.99$

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

Answer from: Quest

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

Answer from: Quest

Idon’t feel like doing the math but you need to do 2.24 divided by 7

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2justin has $110 to spend at the mall. he wants to buy a hat that costs $25 and a pair
of jean...

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