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elixir [45]
2 years ago
14

A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associ

ate is $700 and the daily rate for each partner is $1500. The law firm assigned a total of 11 lawyers to the case and was able to charge the client $14100 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system.
Mathematics
1 answer:
OleMash [197]2 years ago
8 0

Answer:

Each associate costs the client $700 per day, so a associates will cost the client 700a dollars per day. Each partner costs the client $1500 per day, so p partners will cost the client 1500p dollars per day. The total amount charged 700a+1500p :$14100:

700a+1500p=14100

700a+1500p=14100

Since there were a total of 11 lawyers assigned to the case (associates and partners), we know a+pa+p must equal 11.11.

a+p=11

a+p=11

\underline{\text{Write System of Equations:}}

Write System of Equations:

​

700a+1500p=

700a+1500p=14100

14100

a+p=11

11

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2 years ago
A bridge is rated to a capacity of 100 British tons. What is the maximum weight the bridge can support in kilograms? (Round to t
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Step-by-step explanation:

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1 British ton = 2240 pounds

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⇒ 1 British ton = 2240 × 0.454 kg = 1016.96 kg

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x\le 400-23\\ \\x\le 377\ pounds

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The winner of a weight-lifting competition bench-pressed weight 400 pounds.

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400-23=977\ pounds

If x pounds is the weight that the other competitors bench-pressed, then

x\le 400-23\\ \\x\le 377\ pounds

that sounds as the other competitors bench-pressed at most 377 pounds weight.

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2 years ago
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