9. r/15 ≥ -3
R ≥ -45***
R ≥ -15
R ≥ 12
R ≥ 45
10. -8x > -64
x < 8***
x > 8
x < -72
x > 72
13. A baseball bat and 8 baseballs cost $163.25. The bat costs $106.45. What is the cost c of one baseball? (1 point)
163.25 – 8c = 106.45; $33.71
8c + 106.45 = 163.25; $7.10***
8c + 163.25 = 106.45; $7.10
8c – 106.45 = 163.25; $33.71
14. Jacob weighs 64 pounds. Together, he and his sister weigh eight pounds more than two times the weight of his sister. What is the weight, w, of Jacob’s sister? (1 point)
64 + w = 2w + 8; 56 pounds***
64 + w – 8 = 2w; 62 pounds
64 + w = 2w; 64 pounds
64 + w = 2w – 8; 72 pounds
15. Labrina received a $50 gift card to an online store. She wants to purchase some bracelets that cost $8 each. There will be a $10 overnight shipping fee. How many bracelets can she buy? (1 point)
4 bracelets
5 bracelets***
6 bracelets
7 bracelets
16.An airline requires carry-on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?
p - 10 ≤ 40; p ≤ 50
40 - p < 10; p < 30
p + 10 ≥ 40; p ≥ 30***
10 + p ≤ 40; p ≤ 30
NOT MORE
</= 30
You knew that
So would 16 be D? And are my others ok?
yes, yes
8pounds 4 ounces
To solve these problems, let's go through each one step by step:
9. r/15 ≥ -3
To solve for r, we need to multiply both sides of the inequality by 15:
(r/15) * 15 ≥ -3 * 15
This simplifies to:
r ≥ -45
10. -8x > -64
To solve for x, we need to divide both sides of the inequality by -8 (remember, when dividing or multiplying by a negative number, we need to flip the inequality sign):
(-8x)/(-8) < (-64)/(-8)
Simplifying this gives:
x < 8
13. A baseball bat and 8 baseballs cost $163.25. The bat costs $106.45. What is the cost c of one baseball?
Let's set up an equation based on the given information:
106.45 + 8c = 163.25
Subtracting 106.45 from both sides gives:
8c = 163.25 - 106.45
Simplifying:
8c = 56.80
Now divide both sides by 8 to solve for c:
c = 56.80 / 8
This simplifies to:
c = $7.10
14. Jacob weighs 64 pounds. Together, he and his sister weigh eight pounds more than two times the weight of his sister. What is the weight, w, of Jacob’s sister?
Let's set up an equation based on the given information:
64 + w = 2w + 8
Subtracting w from both sides gives:
64 = w + 8
Now subtract 8 from both sides:
56 = w
So, the weight of Jacob's sister, w, is 56 pounds.
15. Labrina received a $50 gift card to an online store. She wants to purchase some bracelets that cost $8 each. There will be a $10 overnight shipping fee. How many bracelets can she buy?
To figure out how many bracelets Labrina can buy, we need to divide the amount on the gift card (minus the overnight shipping fee) by the cost of each bracelet:
(50 - 10) / 8
This simplifies to:
40 / 8 = 5
Therefore, Labrina can buy 5 bracelets.
16. An airline requires carry-on luggage to weigh at most 40 pounds. Your suitcase currently weighs 10 pounds. How many pounds p are available for you to fill your suitcase with other items?
To find out how many pounds are available, we subtract the weight of your current suitcase from the maximum weight allowed:
40 - 10 = 30
So, there are 30 pounds available for you to fill your suitcase with other items.