To find the maximum number of sticker packages (p) that Emma can buy, we need to subtract the amount she has already spent and the amount she needs to set aside from her total amount of money.
Emma has $26 for her weekend expenses.
She spent $12.81 on a new book.
She needs to set aside $10.00 for a lunch outing.
Total amount spent and set aside: $12.81 + $10.00 = $22.81
Now we can subtract this amount from Emma's total amount of money to find out how much she has left to spend on sticker packages:
$26 - $22.81 = $3.19
Since each sticker package costs $0.42, we can divide the remaining amount of money by the cost of one sticker package to find the maximum number of packages Emma can buy:
$3.19 / $0.42 = 7.595
Emma can buy a maximum of 7 sticker packages.
1 of 20
1 of 20 Items
Question
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)
11 answers
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)
Responses
p≤7p is less than or equal to 7
p≤8p is less than or equal to 8
p≥7p is greater than or equal to 7
p≥8
Responses
p≤7p is less than or equal to 7
p≤8p is less than or equal to 8
p≥7p is greater than or equal to 7
p≥8
p≤7
What is the solution set for −2x+5>7?(1 point)
Responses
x<3x<3
x>1x is greater than 1
x<−2x<−2
x<−1
Responses
x<3x<3
x>1x is greater than 1
x<−2x<−2
x<−1
To solve the inequality −2x+5>7, we can start by subtracting 5 from both sides:
−2x+5-5 > 7-5
−2x > 2
Next, we divide both sides by -2. When we divide by a negative number, the inequality sign flips:
x < 2/-2
x < -1
The solution to the inequality is x < -1.
−2x+5-5 > 7-5
−2x > 2
Next, we divide both sides by -2. When we divide by a negative number, the inequality sign flips:
x < 2/-2
x < -1
The solution to the inequality is x < -1.
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)
Responses
950+35w>600; w≥11950+35w>600; w≥11
950−35w≥600; w≤11950−35w≥600; w≤11
950+35w≥600; w≥10950+35w≥600; w≥10
950−35w≥600; w≤10
Responses
950+35w>600; w≥11950+35w>600; w≥11
950−35w≥600; w≤11950−35w≥600; w≤11
950+35w≥600; w≥10950+35w≥600; w≥10
950−35w≥600; w≤10
To determine the number of weeks Sam can continue spending money while still having a minimum of $600 left by the end of the summer, we can use the following inequality:
950 - 35w ≥ 600
Here, w represents the number of weeks.
To solve the inequality, we can start by subtracting 950 from both sides:
950 - 950 - 35w ≥ 600 - 950
-35w ≥ -350
Next, we divide both sides by -35. When we divide by a negative number, the inequality sign flips:
w ≤ -350 / -35
w ≤ 10
The solution to the inequality is w ≤ 10. This means that Sam can continue spending money for a maximum of 10 weeks while still having a minimum of $600 left by the end of the summer.
950 - 35w ≥ 600
Here, w represents the number of weeks.
To solve the inequality, we can start by subtracting 950 from both sides:
950 - 950 - 35w ≥ 600 - 950
-35w ≥ -350
Next, we divide both sides by -35. When we divide by a negative number, the inequality sign flips:
w ≤ -350 / -35
w ≤ 10
The solution to the inequality is w ≤ 10. This means that Sam can continue spending money for a maximum of 10 weeks while still having a minimum of $600 left by the end of the summer.
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)
Responses
100−3s≤160; s≤18100−3s≤160; s≤18
100+3s≥160; s≥20100+3s≥160; s≥20
100+3s≥160; s≥18100+3s≥160; s≥18
100−3s≤160; s≤20
Responses
100−3s≤160; s≤18100−3s≤160; s≤18
100+3s≥160; s≥20100+3s≥160; s≥20
100+3s≥160; s≥18100+3s≥160; s≥18
100−3s≤160; s≤20
To determine the number of sales you need to make in order to earn at least $160, we can use the following inequality:
100 + 3s ≥ 160
Here, s represents the number of sales.
To solve the inequality, we can start by subtracting 100 from both sides:
100 + 3s - 100 ≥ 160 - 100
3s ≥ 60
Next, we divide both sides by 3:
s ≥ 60 / 3
s ≥ 20
The solution to the inequality is s ≥ 20. This means that you need to make at least 20 sales in order to earn at least $160.
100 + 3s ≥ 160
Here, s represents the number of sales.
To solve the inequality, we can start by subtracting 100 from both sides:
100 + 3s - 100 ≥ 160 - 100
3s ≥ 60
Next, we divide both sides by 3:
s ≥ 60 / 3
s ≥ 20
The solution to the inequality is s ≥ 20. This means that you need to make at least 20 sales in order to earn at least $160.
Solve for the solution set: 5a+18<−27 (1 point)
Responses
Responses
To solve the inequality 5a + 18 < -27, we can start by subtracting 18 from both sides:
5a + 18 - 18 < -27 - 18
5a < -45
Next, we divide both sides by 5:
a < -45 / 5
a < -9
The solution to the inequality is a < -9. This means that any value of a that is less than -9 will satisfy the inequality.
5a + 18 - 18 < -27 - 18
5a < -45
Next, we divide both sides by 5:
a < -45 / 5
a < -9
The solution to the inequality is a < -9. This means that any value of a that is less than -9 will satisfy the inequality.
1 answer