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2 years ago

Solve the following system of equations.

Mathematics

1 answer:

vodomira [7]2 years ago

7 0

Answer:

a = 6/5

b = 7/8

c = 1/5

Step-by-step explanation:

We want to make two of these equations be in terms of the same variable, so let's solve the first and third in terms of b.

5a-24b=-15 -> -3 + 24b/5 = a

48b+35c = 49 -> 49/35 - 48b/35 = 7/5 - 48b/35 = c

Now we can replace the a and c in the second equation and solve for b.

10a+45c=21

10(-3+24b/5)+45(7/5 - 48b/35) = 21

-30 + 48b + 63 - 432b/7 = 21 -> -12 = -96b/7 -> b=7/8

Now we can plug b back into the other two to solve for a and c. I will leave that to you unless you would like the steps there.

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Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da

balu736 [363]

Answer: Tara thinks correctly.

Step-by-step explanation:

Let's calculate the average value in sample A:

(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ 6 hours

Let's calculate the average value in sample B:

(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ 6 hours

So, Tara is correct in saying that the mean is 6.

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2 years ago

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Nina [5.8K]

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2 years ago

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If you buy a car for 15500 an average on an average a new car loses 11% of its value the moment that is driven off the lot once

AfilCa [17]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x - we multiply both sides of the equation by x

15500=9.0909090909091*x - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x

1705=x

x=1705

now we have:

11% of 15500=1705

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2 years ago

72 is the product of Mai's height and 6.

7nadin3 [17]

Answer:

Step-by-step explanation:

72/6 = 12

Or 72= h*6

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3 years ago

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What type of numbers has exactly two factors?

nlexa [21]

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2 years ago