MATHEMATICS MIDDLE SCHOOL

Which system of equations below has exactly one solution?y = –8x – 6 and y = –8x + 6

y = –8x – 6 and One-halfy = –4x – 3

y = –8x – 6 and y = 8x – 6

y = –8x – 6 and –y = 8x + 6

Answers

Answer 1
Answer:

Answer:

The given system of equations  y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

Given that the system of equations y=-8x-6\hfill (1) and

y=8x-6\hfill (2) has exactly one solution

For :

Now to show that the given system of equations has exactly one solution :

Solving the given equations (1) and (2) to get solution

Adding the equations (1) and (2) we get

y=-8x-6

y=8x-6

______________

2y=0-12

y=-(12)/(2)

=-6

Therefore the value of is y=-6

Substitute the value of y in equation (1) we have

-6=-8x-6

-8x-6+6=0

-8x+0=0

-8x=0

x=-(0)/(8)

=0

Therefore the value of x is x=0

Therefore it has exactly one solution is (0,-6)

Therefore the  given system of equations  y=-8x-6 and

y=8x-6 has exactly one solutione given  system of equations has exactly one solution
Answer 2
Answer:

Answer:

y=-8x-6 and

y=8x-6 has exactly one solution

Step-by-step explanation:

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The price of an item has been reduced by 80%. The original price was $35. What is the price of the item now?

Classify each pair of numbered angles.
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Answers

Answer:

1&2 are linear angles, and the other two are adjacent angles!

Step-by-step explanation:

What is another. Name for 23 ten thousand

Answers

23 x 10,000 = 230,000

Another name for 23 ten thousand is: Two hundred thirty thousand

And another name also is: 230 Thousands
Standard form= 230,000
Word form= two hundred and thirty thousand
Expanded form= 200,000+30,000

I hope this helps!

Create a proportion using the form = to represent the following word problem.78% of what number is 42?

Answers

Answer :
x = 53.85

Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.

1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42

2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

42/0.78 = 53.85
To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 42 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 42 is 100%, so we can write it down as 42=100%.
4. We know, that x is 78% of the output value, so we can write it down as x=78%.
5. Now we have two simple equations:
1) 42=100%
2) x=78%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42/x=100%/78%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 78% of 42

42/x=100/78
(42/x)*x=(100/78)*x - we multiply both sides of the equation by x
42=1.28205128205*x - we divide both sides of the equation by (1.28205128205) to get x
42/1.28205128205=x
32.76=x
x=32.76

You paint 13 of a wall in 14 hour. At that rate, how long will it take you to paint one wall?

Answers

it will take 3/4 hours

Susan is stacking boxes on a shelf each box is shaped like a rectangular prism it has a length of 2 feet a width of 15 inches and a height of 3 inches. She will stack the boxes on top of each other the space on the shelf is 1 1/2 as a fraction yards high what is the greatest amount of boxes she can stack on the shelf

Answers

i would say you can stack 10 boxes on the shelf

Answer: It should be at least 12.

Step-by-step explanation:

Chitra spent $200 at a thrift shop. She bought 3 rings for $21 each and spent the rest on 4 equally price bracelets. How much did each bracelet cost?

Answers

Cost of Rings = 3 x $21
                       = $63

Cost of Bracelets = $200 - $63
                             = $137

Cost per Bracelet = $137 / 4
                             = $34.25

Therefore, the answer is C
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