Solve the system of equations x - 2y = 2 and 3x - 5y = 9 by writing and solving a matrix equation. Show all your work.

Answers

Answer 1
Answer: we solve X simultenously
x - 2y =2................equation 1
3x - 5y =9.............equation 2
find urself third equation frm dis two equations
x = 2+2y...........equation 3
SUB: 3 IN 2
3(2+2y)-5y =9
solve y
6+6y-5y=9
6y-5y=9-6
1y=3
divide both side by 1
therefore Y=3

SUB:Y=3 IN EQUATION 3
x=2+2(3)
x=8

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A student identification card consistsof 5 digits selected from 10 possible
digits from 0 to 9. Digits cannot be
repeated. Find the probability that
randomly generated card has the
exact number 94213.

Answers

Answer:

(1)/(30240)

Step-by-step explanation:

Given

ID Card of 5 digits

Possibly Digits = {0,1...,9}

Required

Probability that a card has exact number 94213

First, we have o determine the total possible number of ID card numbers

Let the card number be represented by ABCDE

Given that repetition of digits is not allowed;

A can be any of 10 digits

B can any of the remaining 9 digits

C can be any of the remaining 8 digits

D can be any of the remaining 7 digits

E can be any of the remaining 6 digits

Total number of cards = 10 * 9 *8 * 7 * 6

Total = 30240

Provided that the card number is generated at random; each card number has the same probability of (1)/(30240)

Hence, the probability of having 94213 is (1)/(30240)

What is 8 increased by 25%?? If you can answer quicker, that would be awesome!! Have a great day!!

Answers

In order to find what 8 is with a 25% increase
First lets find out what 25% of 8 is

So in order to find it we multiply 25% by 8 
to make things easier we change the 25% to a decimal
25% = 0.25 

Now we can multiply.
0.25 x 8 = 2 

So since this is a increase we take 8 and add our 25% 
25% of 8 = 2 
we want an extra 25% with 8
so we add!

8 + 2 = 10

Answer = with a 25% increase 8 becomes 10 

We simply add 25% of 8 too 8 :P
doesn't makes sense?
its okay ill explain it you :)

First step we need to multiply 8 and 25%
of course 25% = 0.25 
soooo
8 x 0.25 = 2

Second step we add 2 and 8 
soooo
8 + 2 = 10 

So your final answer is 10
:P

Square root of 7x plus the square root of 28x

Answers

√(7x) + √(28x) \n√(7x) + √(4 * 7x) \n√(7x) + √(4)√(7x) \n√(7x) + 2√(7x) \n3√(7x)

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team and the wrestling team at Newberry High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. The wrestling team has raised $84 in the past, and they are making $1 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. What will that total be? How many cars will that take?

Answers

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

For both amounts to be equal, the number of cars would be

4x + 24 = x + 84

4x - x = 84 - 24

3x = 60

x = 60/3

x = 20

4x^2 + 8x - 11x + 6 - 5x^2 + 2A. -x^2 - 3x + 8
B. -x^2 + 3x + 8
C. x^2 - 3x + 8
D. x^2 + 3x + 8

Answers

I like to change all the subtraction to addition of the negative.
4x^2 + 8x + (-11x) + 6 + (-5x^2) + 2
Now combine the like terms.
-x^2 -3x + 8

Your answer is A: -x^2 - 3x + 8
4x^2 + 8x - 11x + 6 - 5x^2 + 2
(4x^2 - 5x^2) + (8x - 11x) + 6 + 2
-x^2 - 3x + 6 + 2
-x^2 - 3x + 8

The answer is: -x^2 - 3x + 8.

What is 12/16 in it's lowest term

Answers

12/16 to the lowest terms is. 3/4
The GCF is 4 so divide by four and get 3/4