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Nataly_w [17]
3 years ago
5

Which expression is equivalent to the following complex fraction?

Mathematics
2 answers:
Sedbober [7]3 years ago
8 0

Answer:

  \dfrac{2(y-2x)}{3y-5x}

Step-by-step explanation:

When you simplify the numerator and the denominator, you find they both have denominators of xy. So, the ratio of those is the ratio of their numerators.

  \dfrac{\dfrac{2}{x}-\dfrac{4}{y}}{\dfrac{-5}{y}+\dfrac{3}{x}}=\dfrac{\left(\dfrac{2y-4x}{xy}\right)}{\left(\dfrac{-5x+3y}{xy}\right)}=\dfrac{2y-4x}{-5x+3y}\\\\=\boxed{\dfrac{2(y-2x)}{3y-5x}}

ICE Princess25 [194]3 years ago
8 0

Answer:

B

Step-by-step explanation:

edg 2020

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Leno4ka [110]
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5 0
3 years ago
During the 2007 baseball season, Wade was up to bat 10 more times than
bearhunter [10]

Answer:

The number of times Ellis get to bat  is  558.

Step-by-step explanation:

Here, let us assume the number of times Ellis bat = m

So, the number of times Dwight bat =  17 times fewer than Ellis

                                                            = m - 17

Also, number of times Wade got to bat  = 10 more times than Dwight

= ( m- 17 )+ 10

Total number of bat times = 1650

So, the number of times ( Wade + Dwight + Ellis) bat together = 1650

⇒   ( m- 17 )+ 10 + (m - 17) + m =  1650

or, 3 m - 34 + 10 =  1650

or, 3  m = 1674

⇒ m = 1674/3 = 558 , or m = 558

Hence, the number of times Ellis get to bat = m = 558.

3 0
3 years ago
Suppose y varies directly with x, and y=-4 when x=8. Find the y when x=14
finlep [7]

14/8 = 1.75

-4 * 1.75 = -7

8 * 1.75 = 14

When x=14, y=-7

8 0
3 years ago
A test to determine whether a certain antibody is present is 99.1​% effective. This means that the test will accurately come bac
avanturin [10]

Answer:

The probability that all the six people will test negative for the antibody is 0.9472.

The probability that the test comes back positive for at least one of the six ​people is 0.0528

Step-by-step explanation:

Consider the provided information.

probability that antibody is present will be effective is 99.1​% and not present​ is 99.1​% of the time.

Part (A)What is the probability that the test comes back negative for all six ​people? ​

Let P(X)= P(Antibody not present)

We want test comes back negative for all six that means antibody is present for all six. Thus X=0

P(X=0)=0.991\times0.991\times0.991\times0.991\times0.991\times0.991\\P(X=0)=0.9472

The probability that all the six people will test negative for the antibody is 0.9472.

Part (B) What is the probability that the test comes back positive for at least one of the six ​people?

P(X \geq1)=1-P(X=0)

P(X \geq1) = 1-0.9472

P(X \geq1) = 0.0528

Hence, the probability that the test comes back positive for at least one of the six ​people is 0.0528

7 0
3 years ago
Find the shaded area.
OleMash [197]

Answer:

13.73

Step-by-step explanation:

7 0
3 years ago
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