Which expression is equivalent to the following complex fraction?

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

$\dfrac{-4x+7}{2(x-2)}$

Step-by-step explanation:

Write the terms of numerator and denominator using a common denominator.

$\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}}=\boxed{\dfrac{-4x+7}{2(x-2)}}$

Arte-miy333 [17]3 years ago

3 0

Answer:

C is correct answer

Step-by-step explanation:

You might be interested in

A businessman buys 1,440 dozen pens at $2.50 a dozen and then sells them at a price of 25¢ apiece. what is his total proﬁt on th

Harlamova29_29 [7]

Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below,

R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
C = (1440 dozens) x ($2.50 / dozen) = $3600

Profit = R - C = $4320 - $3600 = $720

Thus, the businessman's profit is $720.

7 0

3 years ago

***PLEASE HELP***

Molodets [167]

Given:
250 sheep in a 40-acre pasture.
Number of sheep grazing in each acre.

250/40 = 6.25 or 6 sheep per acre

n = 6
sample proportion: signified by ρ
Sample 1: 4 → 4/6 = 0.67
Sample 2: 1 → 1/6 = 0.17
Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρ
Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211
Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411
Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6
Sample 1: 0.2211/6 = 0.03685
Sample 2: 0.1411/6 = 0.02352
Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.
Sample 1: √0.03685 = 0.1919
Sample 2: √0.02352 = 0.1534
Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error
Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error

8 0

3 years ago

A man travelled 3/8 of his journey by a rail 1/4 by a taxi 1/8 by and the remaining 2km on foot what is the length of his total

Burka [1]

The man travelled in different ways: by rail, by taxi, by ___ and by foot. I placed a blank there because there seems to be a missing word in the given problem above. For sample purposes, let's just assume that is travel by bus.

Since all of these travels are equal to 1 whole journey, you can express each travel as a fraction. When you add them up, the answer would be 1. So,

3/8 + 1/4 + 1/8 + x = 1

The variable x here denotes the fraction of his travel by foot. We are only given the exact distance travelled on foot which is 2 km. We have to find the fraction of the travel by foot to determine the length of the total distance travelled. Solving for x,

x = 1 - 3/8 - 1/4 - 1/8
x = 1/4

That means that the travel by foot comprises 1/4 of the whole journey. Thus,

Let total distance be D.

1.4*D = 2 km
D = 8 km

Therefore, the man travelled a total of 8 kilometers.

4 0

3 years ago

Using the GCF to Factor Algebraic Expressions<br><br> 99 + 44q

MrMuchimi

The gcf of both is 11 so it would be 9+4q

8 0

3 years ago

Read 2 more answers

BC has a midpoint at M(6, 6). Point C is at (2, 10). Find the coordinates of point B.

agasfer [191]

Answer:

The coordinates of B are (10,2)

Step-by-step explanation:

Hi there!

We know that BC has a midpoint M, with the coordinates (6,6), and the endpoint C, with coordinates (2, 10)

We want to find the coordinates of point B

The midpoint formula is $(\frac{x_1 + x_2}{2}, \frac{y_1+ y_2}{2})$ , where $(x_1, y_1)$ and $(x_2 , y_2)$ are points. In this case, the point C has the values of $(x_1, y_1)$ , and B has the values of $(x_2 , y_2)$