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3 years ago

15

Solve the system using substitution. Show your work and give your answers as an ordered pair.

1 answer:

Darina [25.2K]3 years ago

6 0

Solution and answer below.

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Which represents r in terms of A and S?

ladessa [460]

Answer:

$r=\frac{6\sqrt{10AS}}{S\sqrt{\pi }}$

Step-by-step explanation:

Given the formula;

$A=\frac{\pi r^2S}{360}$

We want to solve the given formula for r.

Multiply both sides by $\frac{360}{\pi S}$

$A\times \frac{360}{\pi S}=\frac{\pi r^2S}{360} \times \frac{360}{\pi S}$

$A\times \frac{360}{\pi S}=r^2$

Take square root of both sides

$r=\sqrt{\frac{360A}{\pi S}}$

$r=\frac{\sqrt{360A}}{\sqrt{\pi S}}$

$r=\frac{\sqrt{360A}}{\sqrt{\pi }\sqrt{S}}$

$r=\frac{\sqrt{360A}\times \sqrt{S}}{\sqrt{\pi }\sqrt{S} \times \sqrt{S}}$

$r=\frac{\sqrt{360AS}}{S\sqrt{\pi }}$

$r=\frac{6\sqrt{10AS}}{S\sqrt{\pi }}$

5 0

4 years ago

15 ounces<br> 2.5 servings

stealth61 [152]

Answer:

6 ounces per serving

Step-by-step explanation:

If you divide 15 ounces by 2.5 servings, you get 6 ounces per serving. I guess this is what you are trying to find, and hopefully it helps!

5 0

3 years ago

denpristay [2]

Three different dimensions To answer your question are:
200 pixels by 48 pixels
300 pixels by 72 pixels
400 pixels by 96 pixels

7 0

3 years ago

Easy variable question pls help

svet-max [94.6K]

Answer:

z = -4 1/2

Step-by-step explanation:

1. First change the mixed fractions to improper fractions so it's easier

$\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})$

2. Simplify

$\frac{32}{5(2z-1)} = \frac{8}{3z+1}$

3. Cross multiply

$32(3z+1) = 5(2z-1) * 8$

4. Simplify again (distributive property)

$32(3z+1) = 40(2z-1)$

5. Distributive property

$32(3z+1) -> 96z+32$

$40(2z-1) -> 80z-40$

$96z+32=80z-40$

6. Subtract 32 from both sides

$96z+32-32 = 80z-40-32$

7. Simplify

$96z = 80z-72$

8. Subtract 80 from both sides

$96z-80z=80z-72-80z$

9. Simplify

$16z=-72$

10. Divide both sides by 16

$\frac{16z}{16}=\frac{-72}{16}$

11. Simplify

$z=-\frac{9}{2} -> also = -4\frac{1}{2}$

Sorry if it was too long but hope this helps! :)

And also try using symbolab cuz it gives step by step explanations it's really good!

7 0

3 years ago

Help help help help help help help

romanna [79]

The answer is A (or the first one) because the numbers are just switched around but they stay the same.

8 0

3 years ago

Read 2 more answers