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2 years ago

Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

So, Option A is correct answer.

Step-by-step explanation:

We need to solve the complex fraction: StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Writing in mathematical form:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$

Solving the fraction:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})\\Taking\,\,LCM\\=(\frac{-2y+5x}{xy})\div (\frac{3x-2y}{yx})\\Converting\,\,\div \,\,into\,\,multiplication\\=(\frac{-2y+5x}{xy})\times (\frac{yx}{3x-2y})\\Canceling\,\,like\,\,terms:\\=(\frac{-2y+5x}{3x-2y})$

So, solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

In words the answer will be: StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction

So, Option A is correct answer.

Keywords: Fractions

Learn more about fractions at:

#learnwithBrainly

marta [7]2 years ago

3 0

Answer:

the answer is C

please dont choose B i did that an got it wrong so dont do the same mistake

Step-by-step explanation:

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Let A be a 4×4 matrix and suppose that det(A)=3. For each of the following row operations, determine the value of det(B), where

spin [16.1K]

Answer:

a)3

b) 9

c) -3

Step-by-step explanation:

a) If B is obtained by adding a multiple of a row of A to another row of A, $det (B) = det (A).$

Then, $det(B)=3$ .

b) If B is obtained by multiplying a row of A by k, then $det (B) = kdet (A)$ . Then $det(B)=3det(A)=3*3=9$

c) If B is obtained by exchanging two rows (columns) of A, then $det (B) = - det (A)$ . Then $det (B) = - 3$

6 0

1 year ago

Copy and complete each table.

LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

$T_{2}-T_{1}$ = -3 - 2

= -5

Similarly, $T_{3}-T_{2}=-8-(-3)$

= -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, $T_{n}$ = a + (n - 1)d [n = input value]

$T_{n}$ = 2 + (n - 1)(-5)

= 2 - 5n + 5

= -5n + 7

5th term of this sequence,

$T_{5}=2+(5-1)(-5)$

= 2 - 20

= -18

Therefore, 5th term of sequence = -18

nth term of the sequence = -5n + 7

3 0

1 year ago

A cylindrical roller 2.5 m in length, 1.5 m in radius when rolled on a road was found to cover the area of 16500 m2 . How many r

eduard

Answer:

701 revolutions

Step-by-step explanation:

Given: Length= 2.5 m

Radius= 1.5 m

Area covered by roller= 16500 m²

Now, finding the Lateral surface area of cylinder to know area covered by roller in one revolution of cylindrical roller.

Remember; Lateral surface area of an object is the measurement of the area of all sides excluding area of base and its top.

Formula; Lateral surface area of cylinder= $2\pi rh$

Considering, π= 3.14

⇒ lateral surface area of cylinder= $2\times 3.14\times 1.5\times 2.5$

⇒ lateral surface area of cylinder= $23.55 \ m^{2}$

∴ Area covered by cylindrical roller in one revolution is 23.55 m²

Next finding total number of revolution to cover 16500 m² area.

Total number of revolution= $\frac{16500}{23.55} = 700.6369 \approx 701$

Hence, Cyindrical roller make 701 revolution to cover 16500 m² area.

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2 years ago

Cate pahare de 10 cl se pot umple ce sucul dintr-o cutie de 100 cl?

Bumek [7]

English plzz ? I don't understand Spanish

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1 year ago

Solve 10m -28 = 6 -7m

Finger [1]

Answer:

Step-by-step explanation:

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