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3 years ago

What is the quotient of 42/3 divided by 4 1/5

Mathematics

1 answer:

Nutka1998 [239]3 years ago

8 0

Answer:

$\large\boxed{4\dfrac{2}{3}\div4\dfrac{1}{5}=1\dfrac{1}{9}}$

Step-by-step explanation:

First step:

Convert the mixed numbers to the improper fractions:

$4\dfrac{2}{3}=\dfrac{4\cdot3+2}{3}=\dfrac{14}{3}\\\\4\dfrac{1}{5}=\dfrac{4\cdot5+1}{5}=\dfrac{21}{5}$

Divide by a fraction is the same as multiply by the reciprocal of this fraction.

Therefore:

$4\dfrac{2}{3}\div4\dfrac{1}{5}=\dfrac{14}{3}\div\dfrac{21}{5}=\dfrac{14\!\!\!\!\!\diagup^2}{3}\cdot\dfrac{5}{21\!\!\!\!\!\diagup_3}=\dfrac{2\cdot5}{3\cdot3}=\dfrac{10}{9}=1\dfrac{1}{9}$

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A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 72 specimens and counts the number of

Oliga [24]

Answer:

99% Confidence interval: (50.9,61.3)

Step-by-step explanation:

We are given the following in the question:

Sample mean, $\bar{x}$ = 56.1

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Alpha, α = 0.01

Sample standard deviation, σ = 16.7

Degree of freedom = n - 1 = 71

99% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 71 and}~\alpha_{0.01} = \pm 2.64$

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3 years ago

Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and

Irina-Kira [14]

The answer is 7.
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3 years ago

Read 2 more answers

Sand for use on icy roads is stored in a conical pile 14.2 m high and with a base diameter of 34.4 m calculate the volume of the

sammy [17]

Answer:

1. The volume of the pile is 4,399.7719 m^3

2. The number of sanders to be filled from a pile is 638

Step-by-step explanation:

Here, we firstly would calculate the volume of the pile

Mathematically, that will be;

V = 1/3 * pi * r^2 * h

from the question, h = 14.2

Mathematically, r = d/2

r = 34.4/2 = 17.2 m

So the volume will be:

V = 1/3 * 3.142 * 17.2^2 * 14.2

V = 4,399.7719 m^3

To find the number of sanders to be filled,

we simply divide the volume obtained by the volume a sander can take

That will be;

4,399.7719/6.9

= 637.6 which is 638

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3 years ago

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Anettt [7]

Answer:

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Step-by-step explanation:

a positive will cancel out the negative number

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3 years ago

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Answer:

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