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alisha [4.7K]
3 years ago
10

4) The sum of three consecutive odd numbers Is 141. What is the smallest of the three numbers ?

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0
Answer: 45

Explanation:
When finding the equations for the numbers, remember that it is not three consecutive numbers: it is three CONSECUTIVE ODD numbers. Thus:

First number = x
Second number = x + 2
Third number = x + 4 (second number + 2)

x + x + 2 + x + 4 = 141
3x + 6 = 141
3x = 135
x = 45

This tells us that the smallest number (x) is 45. To check our answer, we can plug this value in for x:

45 + 45 + 2 + 45 + 4 = 141
141 = 141

This also tells us that the other two numbers would be 47 and 49, and 45 + 47 + 49 also equals 141.
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Cameron's uncle is 3 times old as he is. 4 years ago, he was 4 times older. How old is Cameron?
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Let Cameron be x years old now.

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<u>Now:</u>

Cameron = x

Uncle =3x

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<u>4 years ago:</u>

Cameron = x - 4

Uncle = 3x - 4

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<u>4 years ago, Uncle is 4 times older:</u>

3x - 4 = 4(x - 4)

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<u>Find x:</u>

3x - 4 = 4(x - 4)

3x - 4 = 4x - 16

4x - 3x = 16 - 4

x = 12

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Answer: Cameron is 12 years old now.

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Answer:

y = -0.2x + 8

Step-by-step explanation:

To write a linear function, calculate the rate of change of the gallon of water leaving the tank and the starting level.

The function will describe the number of gallons over time or (time, gallons).

This means the function has data points (1, 7.8) and (9, 6.2).

Use the rate of change or slope formula to calculate it.

m = \frac{7.8 - 6.2}{1 - 9} =\frac{1.6}{-8} = -0.2

This means that for the formula y = mx+b then m = -0.2.

This also means that after losing 0.2 gallons the first hour it was at 7.8. So the starting value is 8 gallons.

The equation is y = -0.2 x + 8.

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Answer:

y = -6

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Step-by-step explanation:

-x + 2y = -13

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Sum the equations:

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then

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from the first eq.

-x + 2y = -13

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2y = -13 + 1

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y = -12/2

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