3 years ago

Use a proportion to find each value.

Mathematics

1 answer:

KiRa [710]3 years ago

5 0

Answer:

a. 3.6

b. 42.5%

Step-by-step explanation:

a. 180/100 = 1.8

1.8 times 2 (since it's 2%) gives us 3.6

B. 17/40 is 42.5

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3 years ago

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3 years ago

Simplify . (1/c + 1/h)/(1/(c ^ 2) - 1/(r ^ 2))

Marrrta [24]

Answer:

$\frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}$

Step-by-step explanation:

$\frac{\frac{1}{c}+\frac{1}{h}}{\frac{1}{c^2}-\frac{1}{r^2}}$

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$\frac{\frac{h+c}{ch}}{\frac{1}{c^2}-\frac{1}{r^2}}$

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$=\frac{\frac{h+c}{ch}}{\frac{r^2-c^2}{c^2r^2}}$

Apply the fraction rule

$=\frac{\left(h+c\right)c^2r^2}{ch\left(r^2-c^2\right)}$

Cancel

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Therefore, $\frac{\left(\frac{1}{c}+\frac{1}{h}\right)}{\left(\frac{1}{\left(c^2\right)}-\frac{1}{\left(r^2\right)}\right)}:\quad \frac{\left(h+c\right)cr^2}{h\left(r^2-c^2\right)}$

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3 years ago

The product of two positive numbers is 1,800. One number is twice the other number. The equation to determine the two numbers, w

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600

Step-by-step explanation:

x+2x=1800

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x=600

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3 years ago

Read 2 more answers

Daniel buys a block of clay for an art project. The block is shaped like a cube with edges lengths of 10 inches. Daniel decides

Andre45 [30]

Answer:

=14.92...

14 the maximum number of spheres that Daniel can make from the chunk of clay.

Step-by-step explanation:

10^3=1000 in^3

1000/2=500 vol of one congruent chunk.

4/3 * pi * r^3 = vol of a sphere

500/(4/3 * pi * 2^3)

=14.92...

5 0

2 years ago