All categories

2 years ago

14

Mathematics

1 answer:

anastassius [24]2 years ago

3 0

Answer:

y = 1

Step-by-step explanation:

Using the elimination method, let's use y since the process requires less multiplying, you must have the y's match but one must be negative, to do this, you need to multiply the whole equation by the number needed to match negatively:

3x - 5y = 4

5x + y = 16

Multiply the equation (5x + y = 16) by 5:

5(5x + y = 16)

25x + 5y = 80

Eliminate:

3x - 5y = 4

25x + 5y = 80

___________

28x = 84

Divide both sides by 28:

x = 3

Plug in 3 fro x into one of the equations:

5x + y = 16

5(3) + y = 16

15 + y = 16

y = 1

You might be interested in

There are two jobs you can apply for. the first job pays $22,000 the first year, with raises of $4,000 each year thereafter. the

jasenka [17]

We let the number of years that the two jobs will have the same payment be denoted as t. Equating the wages of these two jobs after t - 1 years will give us an equation of,
22,000 + 4000(t -1) = 26,000 + 2000(t - 1)
The value of t from the generated equation is 3. Therefore, after 3 years the jobs will be paying the same wages.

7 0

2 years ago

Read 2 more answers

The area of a closet is 100 square feet. Write the number in exponent form and in word form

wlad13 [49]

Exponent form is 10^2 square ft and word form is one hundred square feet

8 0

2 years ago

Read 2 more answers

Management is considering adopting a bonus system to increase production. One suggestion is to pay a bonus on the highest 5 perc

Olegator [25]

Answer:

The bonus will be paid on at least 4099 units.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the percentile of this measure.

In this problem, we have that:

The highest 5 percent is the 95th percentile.

Past records indicate that, on the average, 4,000 units of a small assembly are produced during a week. The distribution of the weekly production is approximately normally distributed with a standard deviation of 60 units. This means that $\mu = 4000, \sigma = 60$ .

If the bonus is paid on the upper 5 percent of production, the bonus will be paid on how many units or more?

The least units that the bonus will be paid is X when Z has a pvalue of 0.95.

Z has a pvalue of 0.95 between 1.64 and 1.65. So we use $Z = 1.645$

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 4000}{60}$

$X - 4000 = 60*1.645$

$X = 4098.7$

The number of units is discrete, this means that the bonus will be paid on at least 4099 units.

5 0

2 years ago

Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =

VARVARA [1.3K]

The given function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To get the function at each vertex, all you have to do is substitute with the given x and y values in the above equation and get the corresponding value of P as follows:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
P = 0.67

3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

Hope this helps :)

3 0

2 years ago

Read 2 more answers

Which statement describes the vector plotted below?

Nimfa-mama [501]

Answer:

A. The vector goes from (4, 0) to (3, -2).

Step-by-step explanation:

The tail of the vector is on the point (4, 0). The head of the vector is on the point (3, -2). Only answer choice A correctly identifies both of the points associated with the vector.

8 0

2 years ago