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irinina
1 month ago
8

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

additional pound.
How many pounds, p, will it take for UPS and FedEx to cost the same? What is the cost? Write and solve an equation to show your work.
Mathematics
1 answer:
Inessa [12.5K]1 month ago
5 0
The calculated cost is 19.5. Starting with 7 + 7 yields 14, then adding 0.20 results in 14.2. Adding 5 gives 19.2, and finally, adding 0.30 leads to the final amount of 19.5.
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How much of a 90% alloy must be combined with 70% gold alloy in order to get 60 ounces of an 85% gold alloy?
Leona [12618]
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60  0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces
4 0
2 months ago
A low-strength children’s/adult chewable aspirin tablet contains 81 mg of aspirin per tablet. How many tablets may be prepared f
Svet_ta [12734]

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

x = \frac{81}{1,000,000}

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

x = \frac{1}{0.000081}

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

4 0
2 months ago
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