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Minchanka [31]
4 years ago
6

In this problem, a, b, c and d are nonzero integers. If a/b is added to x, the sum is c/d. Which statement can be used to prove

that x must be a rational number?
x = cb+ad/bd

x = cb-ad/bd

x = c+a/d-b

x = c-a/d-b
Mathematics
2 answers:
expeople1 [14]4 years ago
7 0

The correct answer would be x = cb-ad/bd.

In order to get this, you would need to first solve the equation for x and then standardize the denominator on the right side. Below if the work for you.

a/b + x = c/d ----> subtract a/b from both sides

x = c/d - a/b ----> multiply c/d by b/b

x = cb/bd - a/b ----> multiply a/b by d/d

x = cb-ad/bd

Alexeev081 [22]4 years ago
3 0

Answer:

The correct answer would be x = cb-ad/bd.

Step-by-step explanation:

It's already answered

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Zeroes are places on the graph where the graph intersects or touches the x-axis or where y = 0.

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A company is giving gifts to its employees. Employees can choose a gift card, hat, or candy. The table shows the gift chosen by
Paraphin [41]

Answer:

360 Employees

Step-by-step explanation:

Number of employees who chose gift card / Number of total employees

= 90 / 150

Now, we have to figure out in x / 600 when the x represents the number of employees choosing gift card when there are 600 employees in total.

90 / 150, x / 600

-> cross multiply

54,000 = 150x

Therefore 360 = x.

another way:

(multiply the total number of employees in both ratios) 600 / 150 = 4

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4*90 = 360

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2 years ago
What are all the factors of 27
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7 0
4 years ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

Given:

n = 150

\hat p = 0.68

The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

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Thus, the reasonable range for the population mean is (61%, 75%).

5 0
4 years ago
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Alexxandr [17]

Answer:

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Step-by-step explanation:

we have

24x+16

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16=(2^{4})

substitute

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(2^{3})[(3)x+(2)]

8[3x+2]

5 0
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