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Pavel [41]
4 years ago
5

A line with a slope of 1/8 passes through the points (u, -9) and (6, -8). what is the value of u?

Mathematics
1 answer:
Pie4 years ago
6 0
Answer:
u = -2

Explanation:
Slope of the line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

We are given :
slope = 1/8
point (u,-9) represent (x1,y1)
point (6,-8) represent (x2,y2)

Substitute with the givens in the above equation and solve for u as follows:
slope = (y2-y1) / (x2-x1)
1/8 = (-8--9) / (6-u)
1/8 = (1) / (6-u)
1* (6-u) = 1*8
6-u = 8
u = 6-8
u = -2

Hope this helps :)

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The first term in a sequence is 84. The pattern follows the rule add 24. What are the next four terms?
weqwewe [10]

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.

5 0
2 years ago
Mark has 153 hot dogs and 171 hamburgers. He wants to put the same number of hot dogs and hamburgers on each tray. What is the g
navik [9.2K]

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Step-by-step explanation:

hotdogs =153

Hamburger = 171

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The maximum amount of trays will be determined by the minimum food which is hotdog, so, the hotdog is the constraint.

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3 years ago
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Dixon deposited $2000.00 in an account that paid 5% interest compounded annually. How much interest will the account earn in two
anastassius [24]
Dixon will earn $2,205.00 in two years. Every year he earns 5% of the original amount each year. Multiply 2000 by 0.05 (which is 5% in decimal form). This equals to 100. Add this to 2000 to get 2100. Multiply that number by 0.05 also to get 105. Add that to 2100 and get $2205. (Hopefully this is correct, i learned this a while ago and this is what I thought of on the top if my head).
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saul85 [17]

Answer:

18/5

Step-by-step explanation:

5.4/12 = 1/8 is equivalent to (5.4)(1/12) = (z/8), or

                                              (54/10)(1/12) = z/8.

The LCD is (10)(8)(12), or 120.

Mult. both sides by 120 yields 54 = 15z.

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3 years ago
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8_murik_8 [283]

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