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Lana71 [14]
2 years ago
10

8 1/3 x 4/5 HELLLLLLP MEEEEEE

Mathematics
2 answers:
Anna007 [38]2 years ago
8 0

Answer:

6\frac{2}{3}

Step-by-step explanation:

When one multiplies fractions, one must first ensure that both fractions are in the improper fraction format. This can be done by multiplying the number next to the fraction by the denominator of the fraction then adding the result to the numerator,

8\frac{1}{3} * \frac{4}{5}\\\\= \frac{24+1}{3} * \frac{4}{5}\\\\= \frac{25}{3}*\frac{4}{5}

Now cross simplify, remove factors that the numerator and denominator have in common,

\frac{5}{3}*\frac{4}{1}

Finally, multiply, multiply the numerator of the first fraction with the numerator of the second fraction, and the denominator of the first fraction with the denomaintor of the second fraction.

\frac{20}{3}

Convert the result to a mixed number. This can be done by dividing the numerator by the denominator, write the result to the left of the fraction, and the remainder as the numerator,

6\frac{2}{3}

pychu [463]2 years ago
6 0
20/3
Or
6.6 repeating
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Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

n=ac

Therefore, the required values are m=2D, n=ac.

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3 years ago
The Downtown Community Barbecue served 280 dinners. A child’s plate cost $2.60 and an adult’s plate cost $9.50. A total of $1,79
Romashka-Z-Leto [24]

Answer:

the number of child plates and adults plates were served is 125 and 155 respectively

Step-by-step explanation:

Let us assume the child plate be x

And, the adult plates be y

Now according to the question

x + y = 280 .................(1)

2.60x + 9.50y = 1797.50 .............(2)

Now multiply by 2.60x in equation (1)

2.60x + 2.60y = 728

2.60x + 9.50y = 1797.50

-6.90y = -1069.50

y = 155

So, x = 280 - 155

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hence, the number of child plates and adults plates were served is 125 and 155 respectively

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2 years ago
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3 years ago
A jar has 10 red marbles, 6 purple marbles, and 4 turquoise marbles. If you pull a red marble, you win nothing. If you pull a pu
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Answer:

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