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4 years ago

Solve the system of linear equations below.

Mathematics

1 answer:

sergiy2304 [10]4 years ago

6 0

Answer:

Step-by-step explanation:

Let's use the addition/elimination method to solve this. If we multiply the first equation through by -1 we can eliminate the x terms. Doing that gives us:

-x + 3y = 3

x + 3y = 9

The x's subtract each other away leaving us with

6y = 12 so

y = 2.

Now we will plug in 2 for y in either of the original equations to solve for x:

x + 3(2) = 9 and

x + 6 = 9 so

x = 3

The coordinate for the solution is (3, 2) or x = 3, y = 2

The second choice down is the one you want.

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HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

----------------------------------

The desired outcomes are:

First 8 people are teachers, in 8! possible ways.
Last 4 are students, in 4! possible ways.

Thus, $D = 8! \times 4!$

----------------------------------

For the total outcomes, number of arrangements of 12 people, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

Solve for r. r - 4.5 ≤ 11

erma4kov [3.2K]

Answer:

The answer is r < or equal to 15.5.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Acellus

mylen [45]

Answer: 90degrees

Step-by-step explanation: The question was asked in degree. So the answer should be in degree. Which leaves us with no option than 90degrees.

8 0

3 years ago

-3(2x - 4) Please help

Elenna [48]

If you’re using distributive property you’re answer would be... -6x+12 hope I helped !

4 0

3 years ago

EBookPrint Item

spayn [35]

The service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.

<h3>Service charge rate</h3>

a. Service charge rate

Service charge rate=Budgeted cost/ Budgeted activity base quantity

Help desks:

Service charge rate=$160,000/3,200 calls

Service charge rate=$50 per call

Network center:

Service charge rate=$735,000/9,800 devices

Service charge rate=$75 per device monitored

Electronic mail:

Service charge rate=$100,000/10,000 accounts

Service charge rate=$10 per user or per e-mail account

Local voice support:

Service charge rate=$124,600/8,900 phone extensions

Service charge rate=$14 per phone extension

b. Help desk charge

Help desk charge =(Number of employees times × Percentage of office employees× Percentage with a computer ×Number of calls)× Service charge rate

Help desk charge:

(5,200 employee×25%×96%×1.5)× $50 per call

=$93,600

Network center charge:

[(5,200 employee×25%×96%)+ 600]× $75 per device

=$138,600

Electronic mail:

(5,200 employee×25%×96%×100)×$10 per user or per e-mail account

=$12,480

Local voice support:

(5,200 employee×25%)× $14 per phone extension

=$18,200

Therefore the service charge rate are: Help desks $50 per call, Network center $75 per device monitored, Electronic mail $10 per user or per e-mail account, Local voice support $14 per phone extension.

Learn more about Service charge rate here:brainly.com/question/11218668

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8 0

2 years ago