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)
Emma has $26 - $12.81 - $10.00 = $<<26-12.81-10=3.19>>3.19 left for stickers.
The maximum number of packages Emma can buy is $3.19/$0.42 = <<3.19/0.42=7.6>>7.6.
Since Emma cannot buy a fraction of a package, she can buy a maximum of 7 packages. Answer: \boxed{7}.
would that be the same as p is at most, 7
Yes, you are correct. The statement "p is at most 7" is equivalent to saying that the maximum number of packages Emma can buy is 7.
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
Let's assume the number of weeks Sam can continue spending money is represented by "w".
Each week, Sam spends $35, so in total he will spend 35w dollars.
To determine the amount of money Sam will have left by the end of the summer, we subtract the total amount he spends from the amount he starts with:
950 - 35w
Sam wants to have a minimum of $600 left, so we can set up the following inequality:
950 - 35w ≥ 600
To solve for "w", we can subtract 950 from both sides and divide both sides by -35, remembering that when dividing by a negative number, we must reverse the inequality sign:
-35w ≥ 600 - 950
-35w ≥ -350
w ≤ -350 / -35
w ≤ 10
The number of weeks Sam can continue spending money is at most 10 weeks. Answer: \boxed{w \leq 10}.
950+35w>600; w≥11
950−35w≥600; w≤11
950+35w≥600; w≥10
950−35w≥600; w≤10
Actually, the correct inequality is:
950 - 35w ≥ 600
To solve for "w", we can subtract 950 from both sides:
-35w ≥ 600 - 950
Simplifying further:
-35w ≥ -350
Now, dividing both sides by -35 (remembering to reverse the inequality sign when dividing by a negative number):
w ≤ -350 / -35
w ≤ 10
Therefore, the correct solution is W ≤ 10.
use one of my provided equations to get the answer
Apologies for the confusion. Let's use the equation 950 + 35w ≥ 600 to determine the number of weeks Sam can continue spending money.
To solve this inequality, we need to isolate "w" on one side of the equation. Subtracting 950 from both sides gives:
35w ≥ 600 - 950
35w ≥ -350
Now, divide both sides by 35 (remembering to reverse the inequality sign since we are dividing by a negative number):
w ≤ -350 / 35
Simplifying further:
w ≤ -10
So, according to the inequality 950 + 35w ≥ 600, Sam can continue spending money for a maximum of 10 weeks.
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