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2 years ago

5

Alex owns a miniature model of a train. The actual train is 14 feet tall and 70 feet long. If Alex's model is 6 inches tall, wha

t is its length, rounded to the nearest inch?.

1 answer:

rjkz [21]2 years ago

6 0

6 is multiplied by 2 1/3 to get to 14. 70 divided by 2 1/3 is 30. The model of the train is 30 inches long.

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2 years ago

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2 years ago

Which algebraic expression is equivalent to the expression below? 6(4x + 5) + 11

Alina [70]

Answer:

24x + 41

Step-by-step explanation:

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2 years ago

If 3x - 6 = 21, what is the value of x - 2 ?

lora16 [44]

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3 years ago

You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl

Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

$y=150(1+0.03)^t$

$y=150(1.03)^t$

The value of painting after double is 300. Substitute y=300.

$300=150(1.03)^t$

Divide both sides by 150.

$2=(1.03)^t$

Taking log both sides.

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$\log 2=t\log (1.03)$

$t=\dfrac{\log 2}{\log (1.03)}$

$t=23.44977$

$t\approx 23$

Therefore, the required number of years is 23.

6 0

2 years ago