All categories

3 years ago

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y

Mathematics

1 answer:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

$\frac{x}{y}$ = 5 ( multiply both sides by y )

x = 5y ←

and $\frac{y}{z}$ = $\frac{1}{3}$ ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

You might be interested in

Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor

iren2701 [21]

Answer:

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,0.08)$

Where $\mu$ and $\sigma=0.08$

Since the distribution for X is normal then the we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE= \frac{0.08}{\sqrt{24}}= 0.0163$

8 0

3 years ago

11. The test scores of 20 students are shown below.

daser333 [38]

Your answer would be 10.6

3 0

2 years ago

What's the value of x<br> 4x+10=-26

Mnenie [13.5K]

4x+10=-26
Subtract 10 to both sides:
4x=-36
Divide 4 to both sides:
x=-9

6 0

2 years ago

Read 2 more answers

Jane Marko buys a car for $43,900. In three years, the car depreciates 48% in value. How much is the car worth in 3 years

Marina86 [1]

$21,072 is the answer since you the original price is 43,900 and it has decreased 48% therefore using .48 to multiply with 43,900 to find the value after 3 years

4 0

3 years ago

ABCDE and FGHJE are similar pentagons. If the perimeter of FGHJE is 7.3, what is the perimeter of ABCDE?

kiruha [24]

The answer would be 14.6

4 0

3 years ago

Read 2 more answers

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​

Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y