How many solutions does the system formed by x - y = 3 and ay + 3a = 0 have for a non zero number a? Explain and show how you get the answer please

Answers

Answer 1

Answer: Solve both equations for y:
$x-y=3 \ \ \ |-x \n-y=-x+3 \ \ \ |* (-1) \ny=x-3 \n \nay+3a=0 \ \ \ |-3a \nay=-3a \ \ \ |/ a, a \not= 0 \ny=-3$

Set the expressions equal to each other:
$y=y \n x-3=-3 \ \ \ |+3 \nx=0 \n \n(x,y)=(0,-3)$

So, for every nonzero number a the system of equations has one solution.

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Ron draws 16 cards from a standard deck of 52. The deck is made up of equal numbers of four suits: clubs,diamonds, hearts, and spades. How many of the card drawn can Ron expect to be spades? How do I solve this? Thanks

Answers

see ron drwa 16 cards which means 4 card from each suit
4*4=16
total number of cards in each suit is 13-4=9

I am a fraction > 3/11 but < 4/11.
My numerator is 7. ________

Answers

First, we need to create a higher denominator.
3/11 = 6/22
4/11 = 8/22
Thus the only fraction between them is 7/22 which is the answer.

7 over 22 or 7\22 randomrandom

Bubba ordered pizza. So far he has eaten 3/8 of the large pizza. His uncle has eaten 1/8 of the pizza. How much of the pizza has been eaten so far

Answers

so: 3/8 + 1/8 = 4/8

and we know that 4/8 can be reduced to 1/2.

So, half of the pizza has been eaten so far.

To find out how much they both ate in all, you add the fractions of how much they ate. So that would be 3/8+1/8. And you add the numerators because the denominators are the same so that would be 4/8 or 1/2 of the pizza. Hope this helps.

Using the property find the sum: (4/3 + 3/5 + "-2/3" + "-11/5)"

Answers

Answer:

-14/15

Step-by-step explanation:

First the denominator must be the same so mutiply three with 5 to get 15. Don't forget to mutiply numrator!

After that, sump up the first numerator and second numerator because both are plus so you will get 29

Then, sum up the third numrator and forth numrator because both are minus so you will get -43.

Finally, you have 29 + -43 by 15.

You have to substract small number from large number so you will get -14. We use minus sign because -43 is larger than 29.

The result of (4/3+3/5+-2/3+-11/5) -87/15 or -5.8

What are the possible dimensions of a rectangular prism with this volume. V=5y^3+7y^2+2y

Answers

5y+7y=12y
12y+2y=14y
Next, 3+2=5
So your answer would be 14y+5

Find the quotient. 1,458/26

Answers

The quotient is 56, and there is a remainder of 2.

The quotient of 1,458 divided by 26 is 56. In long division, you would set up the problem as follows:

__________

26 | 1,458

You start by asking how many times 26 can fit into 145 (the first two digits of 1,458). The answer is 5 (5 times 26 equals 130).

You write the 5 above the line and subtract 130 from 145, leaving you with 15.

Then, you bring down the next digit, which is 8, making it 158. You repeat the process, finding that 26 goes into 158 six times (6 times 26 equals 156).

Write the 6 above the line, and you're left with a remainder of 2. So, the quotient is 56, and there is a remainder of 2.

for such more question on quotient

brainly.com/question/11418015

#SPJ3

1458/26 = 56.0769230769

Hope this helps! <3

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