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2 years ago

Explain why 3/4 of 16 is the same as 3x16 divided by four?

Mathematics

1 answer:

kolbaska11 [484]2 years ago

4 0

Its not. because 16 / .75 (which is 3/4) = 21.33--

3 * 16 = 48 / 4 = 12

I hope this helps :)

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The diameter of a circle is 16 kilometers. Find the area of the circle.

Elden [556K]

The diameter of a circle is 16 kilometers. Then the area of the circle is $201.062 \mathrm{km}^{2}$

Solution:

Given that , the diameter of a circle is 16 kilometers

We have to find the area of the circle .

Radius is half of diameter.

$\begin{array}{l}{\text { diameter }=2 \times \text { radius } \rightarrow \text { radius }=\frac{\text {diameter}}{2}} \\\\ {\rightarrow \text { radius }=\frac{16}{2} \rightarrow \text { radius }=8 \text { kilometers. }}\end{array}$

The area of circle is given as:

$\begin{array}{l}{\text { area of a circle }=\pi \times r^2 \\ {\text { Area of a circle }=\pi \times 8^{2}=\pi \times 64=64 \times 3.14=201.062}\end{array}$

Hence, the area of the circle is 201.062 $km^2$

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2 years ago

A group of dental researchers are testing the effects of acidic drinks on dental crowns. They have five containers of crowns lab

mestny [16]

Answer:

$\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}$

Step-by-step explanation:

Given

$S = \{V,W,X,Y,Z\}$

$n(S) = 5$

Required

The probability model

To do this, we simply calculate the probability of each container.

So, we have:

$P(V) = \frac{n(V)}{n(S)} = \frac{1}{5} = 0.20$

$P(W) = \frac{n(W)}{n(S)} = \frac{1}{5} = 0.20$

$P(X) = \frac{n(X)}{n(S)} = \frac{1}{5} = 0.20$

$P(Y) = \frac{n(Y)}{n(S)} = \frac{1}{5} = 0.20$

$P(Z) = \frac{n(Z)}{n(S)} = \frac{1}{5} = 0.20$

So, the probability model is:

$\begin{array}{cccccc}{x} & {V} & {W} & {X} & {Y} & {Z} & P(x) & {0.20} & {0.20} & {0.20} & {0.20} & {0.20} \ \end{array}$

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1 year ago

Simplify the fraction 35/21 in simplest form

aev [14]

Answer:

5/3

Step-by-step explanation:

35 and 21 could be divided by a factor of 7.

35 ÷ 7 = 5

21 ÷ 7 = 3

So,

35/21 = 5/3

7 0

2 years ago

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100 POINTS (urgent) Write an equation of a line that passes through the point (2, 3) and is parallel to the line y =3/2X + 5

DIA [1.3K]

Answer:

C. 3/2x

Step-by-step explanation:

Firstly, we know that the slopes are the same because parallel lines have the same slope. Then we can find the y-intercept by using the slope and point in slope-intercept form.

y = mx + b ---> plug in known values

3 = (3/2)(2) + b ---> Multiply

3 = 3 + b ---> Subtract 3 from both sides.

0 = b

Since the intercept is 0, you will not see a number after the slope and x.

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2 years ago