Asked by A4D3N

Emma has $26 for her weekend expenses. She spent $12.81, including tax, on a new book. Additionally, she needs to set aside $10.00 for a lunch outing next week. If stickers cost $0.42 per package, tax included, describe the maximum number of packages (p) Emma can buy. (1 point)
OP<7
Op<8
Op=7
Op≥8
Answered by A4D3N
Sam starts the summer with $950 in his wallet. He aims to have a minimum of $600 left by the end of the summer. Each week, he spends $35 on recreational activities. Write an inequality to determine the number of weeks Sam can continue spending money, and solve the inequality. (1 point)
• 950 + 35w > 600; w ≥ 11
• 950 - 35w ≥ 600; w ≤ 11
• 950 + 35w ≥ 600; w ≥ 10
• 950 - 35w ≥ 600; w ≤ 10
Answered by A4D3N
As a salesperson, you are paid $100 per week plus $3 per sale. This week you want your pay to be at least $160. Write and solve an inequality for the number of sales you need to make. (1 point)
• 100 — 3s ≤ 160; s ≤ 18
• 100 + 3s ≥ 160; s ≥ 20
• 100 + 3s ≥ 160; s ≥ 18
• 100 — 3s ≤ 160; s ≤ 20
Answered by A4D3N
An online music club has a one-time registration fee of $20 and charges $0.50 for each song download. If Ella has $50.00 to join the club and buy songs, which inequality gives the maximum number of songs, s, she can buy? (1 point)
O s ≥ 30
Os≤ 30
Os ≥ 60
Os< 60
Answered by A4D3N
Mark and Anson each have a video game collection.
• The number of video games in Mark collection can be represented by x.
• The number of video games in Anson collection is 5 times the number in Mark collection.
• The total number of video games is no more than 72.
What is the solution set for x, the number of video games in Mark's collection?
(1 point)
0 x ≤12
• x ≤-12
• x ≥ 15
Ox ≥-1
Answered by A4D3N
Our middle school is having a fall carnival. Admission into the carnival is $3 and each game inside the carnival costs $.25. Write an inequality that represents the possible number of games that can be played having $10.
What is the maximum number of games that can be played? (1 point)
• 0.25z +3 ≤ 10;28 games
• 0.25x — 3 ≤ 10; 52 games
• 0.25x - 3 < 10; 52 games
• 0.25x + 3 < 10; 28 games
Answered by GPT 3.5
To figure out the maximum number of packages that Emma can buy, we need to subtract her expenses from her total budget.

First, subtract the cost of the book: $26 - $12.81 = $<<26-12.81=13.19>>13.19

Next, subtract the amount she needs to set aside for lunch: $13.19 - $10.00 = $<<13.19-10=3.19>>3.19

Now, divide the remaining amount by the cost of one package of stickers: $3.19 ÷ $0.42 = <<3.19/0.42=7.60>>7.60

Since Emma cannot purchase a fraction of a package, the maximum number of sticker packages she can buy is 7. Answer: Op<8
Answered by GPT 3.5
We need to write an inequality to determine the number of weeks Sam can continue spending money.

Since Sam starts with $950 and spends $35 each week, the inequality will be: 950 - 35w ≥ 600.

Now let's solve the inequality.

Subtract 950 from both sides: -35w ≥ -350.

Divide both sides by -35 (remember to reverse the inequality when dividing by a negative number): w ≤ 10.

The solution to the inequality is w ≤ 10.

So, the correct option is: 950 - 35w ≥ 600; w ≤ 10.
Answered by GPT 3.5
We need to write an inequality for the number of sales needed to earn at least $160.

Since the salesperson is paid $100 per week plus $3 per sale, the inequality will be: 100 + 3s ≥ 160.

Now let's solve the inequality.

Subtract 100 from both sides: 3s ≥ 60.

Divide both sides by 3: s ≥ 20.

The solution to the inequality is s ≥ 20.

So, the correct option is: 100 + 3s ≥ 160; s ≥ 20.
Answered by GPT 3.5
To find the maximum number of songs Ella can buy, we need to set up an inequality using the information provided.

Ella has $50 to join the club and buy songs. She has to pay a registration fee of $20, so she has $50 - $20 = $30 left to spend on song downloads.

Each song download costs $0.50. Let's represent the maximum number of songs Ella can buy with the variable s.

Therefore, the inequality is: $0.50s ≤ $30.

Simplifying the inequality, we have: s ≤ 60.

So, Ella can buy a maximum of 60 songs. The correct inequality is Os ≤ 60.
Answered by GPT 3.5
Let's represent the number of video games in Mark's collection as x.

According to the information provided, the number of video games in Anson's collection is 5 times the number in Mark's collection:
Anson's video games = 5x.

The total number of video games is no more than 72:
x + Anson's video games ≤ 72.

Substituting Anson's video games with 5x, we have:
x + 5x ≤ 72.

Combining like terms, we get:
6x ≤ 72.

To solve for x, we divide both sides of the inequality by 6:
x ≤ 12.

Therefore, the solution set for x, the number of video games in Mark's collection, is x ≤ 12.
The correct option is: 0 ≤ x ≤ 12.
Answered by GPT 3.5
To represent the possible number of games that can be played with $10, we'll use the inequality $0.25x + 3 ≤ 10, where x represents the number of games.

Now, let's solve the inequality to find the maximum number of games that can be played.

Subtract 3 from both sides: $0.25x ≤ 7.

To isolate x, divide both sides by $0.25: x ≤ 28.

Therefore, the maximum number of games that can be played with $10 is 28.

The correct option is: $0.25z +3 ≤ 10; 28 games.