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2 years ago

Fill the value of the expression 24 3/5 +4 ×(8 1/5-2)

1 answer:

4 0

First off, we'll convert the mixed fractions to "improper",

$\bf \stackrel{mixed}{24\frac{3}{5}}\implies \cfrac{24\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{123}{5}}
\\\\\\
\stackrel{mixed}{8\frac{1}{5}}\implies \cfrac{8\cdot 5+1}{5}\implies \stackrel{improper}{\cfrac{41}{5}}$

$\bf 24\frac{3}{5}\times \left( 8\frac{1}{5}-2 \right)\implies \cfrac{123}{5}\left( \cfrac{41}{5}-2 \right)\impliedby \mathbb{PEMDAS}
\\\\\\
\cfrac{123}{5}\left( \cfrac{41-10}{5} \right)\implies \cfrac{123}{5}\left( \cfrac{31}{5} \right)
\\\\\\
\cfrac{123\cdot 31}{5\cdot 5}\implies \cfrac{3813}{25}\implies 152\frac{13}{25}$

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Answer:

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Step-by-step explanation:

Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.

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3 years ago

A restaurant has a total of 30 tables which are of two

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Answer:

Total number of tables of first type = 23.

Total number of tables of second type = 7

Step-by-step explanation:

It is given that there are 30 tables in total and there are two types of tables.

Let's call the two seat tables, the first type as x and the second type as y.

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Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:

2x + 5y = 81 .....(2)

To solve (1) & (2) Multiply (1) by 2 and subtract, we get:

y = 7

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3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options. y

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Answer:

The equation of the parallel line to the given equation is

3 x-4 y = -4 and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

Step-by-step explanation:

Explanation:-

Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )

The equation of the parallel line to the given equation is

3 x - 4 y = k

it is passes through the point ( -4 , -2)

3 (-4) - 4 ( -2) = k

-12 +8 = k

k = -4

The equation of the parallel line to the given equation is

3 x- 4 y = -4

Dividing '4' on both sides , we get

$\frac{3 x-4 y}{-4} = 1$

$\frac{-3 x}{4} +y =1$

$y = 1 + \frac{3 x}{4}$

Conclusion:-

∴ The equation of the parallel line to the given equation is

3 x- 4 y = -4

and

The equation of the parallel line to the given equation is

$y = 1 + \frac{3 x}{4}$

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