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2 years ago

Solve for y on problem #2

Mathematics

1 answer:

Anestetic [448]2 years ago

5 0

9514 1404 393

Answer:

y = (x +7)/3

Step-by-step explanation:

Multiply the given equation by y/3:

$\dfrac{x+7}{y}\cdot\dfrac{y}{3}=3\cdot\dfrac{y}{3}\\\\\boxed{y=\dfrac{x+7}{3}}$

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It took 20,000 workers to build the Taj Mahal in 20 years. How many workers would be required to build it in 10 years?

omeli [17]

Answer:

40,000 workers

Step-by-step explanation:

This question deals with simple rates proportion.

If it takes 20 years for X workers to complete a job,

if we double the amount of workers, we will take half the time.

hence to halve the time from 20 years to 10 years, we will need to double the amount of workers.

In this case we will need 20,000 workers x 2 = 40,000 workers

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2 years ago

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Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

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2 years ago

Jake is arranging a poetry reading. There will be 6 poets. The reading should run 90 minutes. Each poet will read for the same l

valentinak56 [21]

Answer:

Each poet reads for exactly 15 minutes.

Step-by-step explanation:

If it should run for 90 minutes, and there is 6 poets, therefore I'm pretty sure you divide 90 by 6, which is 15.

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2 years ago

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tatiyna

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2 years ago

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KonstantinChe [14]

The answer would be 29.

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