3 years ago

Use the distributive property to write 35 + 15 as a sum with no common factors

Mathematics

1 answer:

kolezko [41]3 years ago

7 0

Here's one:

5(3+4)+3(20-5)

Think of different ways that add or multiply up to 35 or 15.

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A town has a population of 12000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the popul

ch4aika [34]

Answer:

11.0 years

Step-by-step explanation:

The exponential function describing the population growth can be written ...

population = (initial population)×(1 +growth rate)^years

If t represents the number of years, we can fill in the values to get ...

18500 = 12000×1.04^t

Dividing by 12000 gives ...

18500/12000 = 1.04^t

Taking logarithms, we have ...

log(18500/12000) = t×log(1.04)

t = log(185/120)/log(1.04) ≈ 11.037 ≈ 11.0

It will be 11.0 years until the population reaches 18,500.

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3 years ago

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REY [17]

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2 years ago

Is negative 19 a rational number

Zanzabum

Yes it’s a rational number

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3 years ago

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The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

kap26 [50]

Answer:

90 cm²

Step-by-step explanation:

Given that both triangles are similar, it follows that the ratio of their area equals the square of their corresponding sides.

Let the area of the other triangle be x. Therefore:

$\frac{10}{x} = \frac{4^2}{12^2}$

$\frac{10}{x} = \frac{16}{144}$

Cross multiply

$10*144 = 16*x$

$1440 = 16x$

Divide both sides by 16

90 = x

Area of the other polygon = 90 cm²

4 0

3 years ago

A grinding stone completes 175 revolutions before coming to a stop. How many radians did the stone complete

alexandr402 [8]

Answer:

175 * 2 * $\pi$

350 $\pi$ radians

Step-by-step explanation:

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3 years ago