Explain how you can solve 40x 14 by breaking apart the factors

Mathematics

1 answer:

Vaselesa [24]3 years ago

6 0

Step-by-step explanation:

40 * 14 = 560

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What is the value of x in units

nikdorinn [45]

$\triangle RQT\ \text{and}\ \triangle SRT\ \text{are similar. Therefore the sides are in proportion.}\\\\\dfrac{RT}{TQ}=\dfrac{TS}{RT}\\\\\text{We have}\ RT=x,\ TQ=16,\ TS=9.\ \text{Substitute:}\\\\\dfrac{x}{16}=\dfrac{9}{x}\qquad\text{cross multiply}\\\\x^2=(9)(16)\\\\x^2=144\to x=\sqrt{144}\\\\\boxed{x=12}$

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3 years ago

Read 2 more answers

Sheri's brother gave Sam his collection of stamps when she left for college. At that

pychu [463]

Answer: $70 per year.

Step-by-step explanation:

Let's say that x is the number of years that has passed and y is how much the stamp is worth.

So we know that in zero years the stamp was worth $420 because that is the time Sheri gave her brother Sam the stamp. That could bring up the coordinates (0,420) .

Now we know that in 8 years it was worth $980 and that could be the coordinates (8,980)

To find the rate of change we need to find the different between the y value and divide it by the difference in the x values.

420 - 980 = -560

0-8 = -8

-560/-8 = 70

The rate of change is 70 which means that it grew by $70 every year.

6 0

4 years ago

Please help with this

svetoff [14.1K]

9514 1404 393

Answer:

153 square units

Step-by-step explanation:

The figure is drawn in the attachment with some lengths and points labeled.

The figure can be considered to have an area that is the sum of the areas of rectangle ABFE and triangle FGH, with the area of triangle BCD subtracted.

That area is ...

A = area(ABFE) +area(FGH) -area(BCD)

= (15)(9) +(1/2)(9)(6) -(1/2)(6)(3)

= 135 +27 -9 = 153 . . . square units