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3 years ago

How would you compare two ratios given in words?

Mathematics

2 answers:

OlgaM077 [116]3 years ago

7 0

Answer:

Write the ratios as fractions. Then identify a common denominator. Rewrite the fractions using the common denominator. Compare the numerators. The greater numerator indicates the greater ratio.

Step-by-step explanation:

Solnce55 [7]3 years ago

6 0

Answer:

you turn them into fractions for example 3:4 and 7:9

put them as factions 3/5 and 7/9 and them find out wich fraction is the biggest.

Step-by-step explanation:

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Find the difference. <br> - 4 1/9 - 7 2/3<br> **Answer should be a fraction**

olganol [36]

Answer:

your answer is

$- 11 \frac{7}{9}$

4 0

3 years ago

A balloon is blowing up at a constant rate of 9 cubic centimeters per second. When the volume of the balloon is 2048/3 pi cubic

jekas [21]

Answer:

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

Step-by-step explanation:

<u>Rates of Change as Derivatives</u>

If some variable V is a function of another variable r, we can compute the rate of change of one with respect to the other as the first derivative of V, or

$\displaystyle V'=\frac{dV}{dr}$

The volume of a sphere of radius r is

$\displaystyle V=\frac{4}{3}\pi r^3$

The volume of the balloon is growing at a rate of $9\ cm^3/sec$ . This can be written as

$\displaystyle \frac{dV}{dt}=9$

We need to compute the rate of change of the radius. Note that both the volume and the radius are functions of time, so we need to use the chain rule. Differentiating the volume with respect to t, we get

$\displaystyle \frac{dV}{dt}=\displaystyle \frac{dV}{dr}\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

solving for $\displaystyle \frac{dr}{dt}$

$\displaystyle \frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2}$

We need to find the value of r, which can be obtained by using the condition that in that exact time

$\displaystyle V=\frac{2048}{3}\pi\ cm^3$

$\displaystyle \frac{2048}{3}\pi=\frac{4}{3}\pi r^3$

Simplifying and isolating r

$\displaystyle r^3=512$

$\displaystyle r=\sqrt[3]{512}=8\ cm$

Replacing in the rate of change

$\displaystyle \frac{dr}{dt}=\frac{9}{4\pi 8^2}$

$\displaystyle \frac{dr}{dt}=\frac{9}{256\pi }$

$\displaystyle \frac{dr}{dt}\approx 0,0112\ cm/sec$

8 0

3 years ago

-18 is greater than or equal to -6c solve for c

kherson [118]

-18>=-6c
Divide both sides by -6 to get c by itself on one side. Also, flip the greater than sign to a less than or equal to sign because you divided by a negative number.
Final Answer: 3<= c

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3 years ago

Every possible cross section of a three-dimensional figure is a circle. What is the figure?

Alex787 [66]

Any point or line, segment, ray, polygon etc.

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4 years ago

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koban [17]

I think it is b. 49ft

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