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bulgar [2K]
2 years ago
12

A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.

Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.
a
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

b
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

c
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100

d
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Mathematics
1 answer:
Murljashka [212]2 years ago
4 0

Answer:

c

Step-by-step explanation:

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3 0
3 years ago
Pls help and show workings
andreev551 [17]

Answer: x = 11

Step-by-step explanation:

same as the last question, set them as equal and solve. here's my work:

<em>5x - 1 = 4x + 10</em>

<em>5x - 1 (+ 1) = 4x + 10 (+ 1)</em>

<em>5x = 4x + 11</em>

<em>5x (- 4x) = 4x (- 4x) + 11</em>

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8 0
3 years ago
Write these fractions in their simplest forms:<br>a)<br>15<br>20<br>8<br>b)<br>12​
Katen [24]

Answer:

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3 0
2 years ago
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alexgriva [62]

Answer:

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3 0
3 years ago
You paid $44 to a loan company for the use of $1,153 for 119 days, what annual rate of interest did they charge? (Assume a 360-d
Zigmanuir [339]

Answer:

Ans. A) The annual rate that the company charged was 11.996%; B) if they charged you 11.186% annual rate, you would have to pay $41.14

Step-by-step explanation:

Hi, first we have to find out what is the effective 119 days rate and then turn it into an annual rate. This is as follows.

r(Effective119Days)=\frac{44}{1,153} x100=0.038161

So the charged rate was 3.816% effective, 119 days, now let´s make it an annual rate.

r(annual)=(1+0.038161)^{\frac{360}{119} } -1=0.119965

This means that the equivalent rate to 3.816% effective 119 days ys 11.996% effective annually (or just annual).

Now, if they were to charge you 11.186% annual, you would have to make this rate effective 119 days, and then, multiply it by the principal ($1,153). Let´s change the rate first.

r(Effective119Days)=(1+0.11186)^{\frac{119}{360} -1}=0.03568

And the money that you will have to pay in interest is $1,153*0.03568=$41.14

Best of luck

7 0
3 years ago
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