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3 years ago

Martiza is playing a computer game to help her learn about science. Her scores for six games were 11, 12,10,8,14, and 15

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

Answer:

Points she needs to earn on the next game = 14

Step-by-step explanation:

Martiza scores for six games were 11, 12,10,8,14, and 15.

(11+12+10+8+14+15+x)/7=12

(70+x)/7 = 12

Multiply both sides by 7

(70+x)/7 *7 = 12*7

70+x = 84

Combine the constants:

x=84-70

x = 14

Points she needs to earn on the next game = 14....

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Answer:

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Let x = larger odd integer

then (x-2) is the smaller odd integer

Translate:

"sum of two consecutive odd integers is 80" means (x-2) + x = 80

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The Lees have 3 children. The oldest is twice as old as the youngest. The middle is 5 years older than the youngest. If the sum

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Oldest = 2 times Youngest -> O = 2*Y
Middle = Youngest + 5 -> M = Y+5
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So you have these three equations:
(1) O = 2*Y
(2) M = Y+5
(3) O + M + Y = 57

Now you want to reduce the number of variables. You can change the second equation to be Y = M-5 and then plug in "M-5" wherever there is currently a Y:

(4) O = 2*(M-5) = 2*M - 10
(5) O + M + (M-5) = 57
which becomes O + 2M = 62

Then you plug in the "O" equation (4) into (5) which gives you
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So now I know M is 18.
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Now I plug that into (1) from the top:
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Reading the sentence again, you can see that this makes sense.

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A company is producing a new product. Due to the nature of the product, the time required to produce each unit decreases as wor

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Answer:

The total time to produce units 1 through 10 = 21.762 hours

The total time to produce units 30 through 40 = 22.187 hours

Step-by-step explanation:

Function for the learning process is T(x) = 2 + 0.6(1/x)

Time required to produce 1st unit = 2.6

Time required to produce 2nd unit = 2.3

Time required to produce 3rd unit = 2.2

Time required to produce 4th unit = 2.15

Time required to produce 5th unit = 2.12

Time required to produce 6th unit = 2.1

Time required to produce 7th unit = 2.09

Time required to produce 8th unit = 2.075

Time required to produce 9th unit = 2. 067

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The total time required for a new worker to produce units 1 through 10 is the sum of the above times. The total time to produce units 1 through 10 = 21.762

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Time required to produce 30th unit = 2.02

Time required to produce 31st unit = 2.019

Time required to produce 32nd unit = 2.0188

Time required to produce 33rd unit = 2.018

Time required to produce 34th unit = 2.0176

Time required to produce 35th unit = 2.017

Time required to produce 36th unit = 2.0167

Time required to produce 37th unit = 2.016

Time required to produce 38th unit = 2.0158

Time required to produce 39th unit = 2. 0154

Time required to produce 40th unit = 2. 015

The total time required for a new worker to produce units 30 through 40 is the sum of the above times. The total time to produce units 30 through 40 = 22.187

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