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aleksklad [387]
3 years ago
9

A canoe requires 8 hours of fabrication and a rowboat 5 hours. The fabrication departments has at most 107 hours of labor availa

ble each week. Let X be the number of canoes and let Y be the number of rowboats. Select the correct letter for answerA) 8x+5y<107B) 5x+8y<107C) 8x+5y>107D) 5x+8y>107
Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0

Answer: A

Step-by-step explanation: Canoe → 8h →X

                                            Rowboat → 5h → Y

Fabrication department has at most 107, which means it need to be <u>less</u> than 107 hours.

This way, the amount of time to fabricate X canoes = 8X plus the amount of time to fabricate Y Rowboat = 5Y must be less than 107.

8X + 5Y < 107

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Since he must not exceed 8 hours driving in a day:
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Return journey                                   =  x / 50

The total trip should not exceed 8 hours.
Therefore:              x / 60 + x / 50  <= 8.      LCM = 300

Taking LCM and multiplying on both sides:
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                                       11x    <=  2400
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The picnic spot must be less than or equal to 218.18 km.
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6 0
3 years ago
Simplify the slope of AC
Lemur [1.5K]

Answer:

Slope\:\: \overline{AC} =1

Step-by-step explanation:

A is on the same point on the x-axis as B and the same point on the y-axis as D

  • Therefore, the coordinate of A is (0,0)

C is on the same point on the x-axis as D and the same point on the y-axis as B.

  • Therefore, the coordinate of C is (a,a)

We are to determine the slope of the line joining A to C.

Slope, m =\dfrac{y_2-y_1}{x_2-x_1} \\(x_1,y_1)=(0,0),(x_2,y_2)=(a,a)\\$Therefore, Slope of AC$\\m =\dfrac{a-0}{a-0}\\=\dfrac{a}{a}\\\\=1

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6 0
3 years ago
How much interest will she earn in 3 years?
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We can also find the answer by completing a small chart.
The first column will be the year. The second will be the amount. The third will be the interest for the year.
1                                                90                                                11.7
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The total would round to 39.86, so her interest for the 3 year would be 39.86, with her having 129.86 altogether.




7 0
3 years ago
Read 2 more answers
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Verizon [17]

25 x 13 = 325

20x 8 = 160

325-160 = 165 square feet

 answer is A

3 0
3 years ago
Read 2 more answers
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