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Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?

A.(125/65)=(n/100)

B.(100/125)=(n/65)

C.(125/100)=(n/65)

D.(152/100)=(n/65)

71.3 UK£

Step-by-step explanation:

Answer:

[tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]

Step-by-step explanation:

Given:

[tex](x+2)^2+(y-3)^2=16\\x+y-1=0[/tex]

To find: value of [tex]x,y[/tex]

Solution:

[tex](x+2)^2+(y-3)^2=16\,\,\,...(i)\\x+y-1=0\,\,\,(ii)[/tex]

From (ii),

[tex]x=1-y[/tex]

Put this value of [tex]x[/tex] in (i)

[tex](1-y+2)^2+(y-3)^2=16\\(3-y)^2+(y-3)^2=16\\(y-3)^2+(y-3)^2=16\\2(y-3)^2=16\\(y-3)^2=8[/tex]

[tex]y-3=[/tex] ± [tex]\sqrt{8}[/tex] = ± [tex]2\sqrt{2}[/tex]

[tex]y=3[/tex] ± [tex]2\sqrt{2}[/tex]

At [tex]y=3[/tex] + [tex]2\sqrt{2}[/tex] ,

[tex]x=1-(3+2\sqrt{2})=1-3-2\sqrt{2}=-2-2\sqrt{2}[/tex]

At [tex]y=3-2\sqrt{2}[/tex] ,

[tex]x=1-(3-2\sqrt{2})=1-3+2\sqrt{2}=-2+2\sqrt{2}[/tex]

Solutions are [tex](-2-2\sqrt{2},3+2\sqrt{2})\,,\,(-2+2\sqrt{2},3-2\sqrt{2})[/tex]

Answer:

The cost after discount would be $15.40

Step-by-step explanation:

Given that:

Discount card = 12%

Cost of items bought = $17.50

Amount of discount = 12% of 17.50

Amount of discount = [tex]\frac{12}{100}*17.50[/tex]

Amount of discount = 0.12 * 17.50

Amount of discount = $2.10

Cost after discount = 17.50 - 2.10

Cost after discount = $15.40

Hence,

The cost after discount would be $15.40

Answer:

1/24

Step-by-step explanation;

Answer:

Answer:

Option (b) is correct.

4x + 6y < 120 inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation.

Step-by-step explanation:

Given: A small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing. The dyers have to make at least 20 rugs, and they must do it in less than 120 hours.

We have write an inequalities that can be paired with x + y ≥ 20 to create a system that represents the given situation and choose the correct option from given options.

Let x represents the small rugs and y represents the medium rugs.

Also, x + y ≥ 20 represents the dyers have to make at least 20 rugs.

And it is given that a small rug requires 4 hours for dyeing and a medium-size rug requires 6 hours for dyeing and that they must do it in less than 120 hours.

So, time taken to dye x small rugs = 4x

also, time taken to dye y medium rugs = 6y

And they have maximum of 120 hours.

So this inequality is represented by 4x + 6y < 120

The answer is: 4x + 6y < 120

Answer:

i got -16x+44/3 so i guess c?

Step-by-step explanation:

hope this helps

Answer:

(f+g)(x)=6x^3-2x^2+4x-8

I'm sorry if I'm wrong!!

Answer:

x = 0, y = -4

Step-by-step explanation:

Add these equations together:

[tex]2x + y = -4\\x - y = 4[/tex]

3x = 0

divide both sides by 3

x = 0

substitute this into the equation x - y = 4

0 - y = 4

y = -4

Answer:

(1, 3)

(2, 6)

(4, 12)

(6, 18)

Step-by-step explanation:

Time represents s, or the x value when plotting (x, y) and distance represent m or the y value when plotting.

For the first one, plot it at (1, 3), so look where time is, the horizontal line, and find one. Then from there, go up three places. That is where you will plot your first point.

The second one will be plotted at (2, 6). Find two on the horizontal line, and then go up six spaces. That is where you will plot your second.

Do the same thing for the last two. You should plot your points at:

(1, 3)

(2, 6)

(4, 12)

(6, 18)

Answer:

1,3  2,6  4,12  6,18

Step-by-step explanation:

Answer:

25 chairs

Step-by-step explanation:

If 40 chairs are bought for Rs 10000 then how many chairs must be sold for Rs 10000 so as to gain 60%?

The percent gain = 60%

Number of chairs to be sold = x

Hence:

40 chairs = 10,000

60/100= 40 - x/x × 100

0.6= 40 - x/x

Cross Multiply

0.6x = 40 - x

0.6x + x = 40

1.6x = 40

x = 40/1.6

x = 25 chairs

Answer

The answer is B

Step-by-step explanation:

Answer:

y=2/3x+4

Step-by-step explanation:

to find x, count the rise over run between two points. to find your b value, find where the line crosses the y axis

Answer:

Jane is 11 7/40

Step-by-step explanation:

13 3/4- 1 3/8= 12 3/8

12 3/8- 1 1/5= 11 7/40

Therefore the answer is 11 7/40

Answer:

230

Step-by-step explanation:

300 - 70 = 270 boom

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I took the test  A p  E  x

hope this helps :)

Answer: A. 7 hours

Step-by-step explanation: divide

9514 1404 393

Answer:

  (b)  (6, 0)

Step-by-step explanation:

You are given the value of x. Substitute that in the other equation and find the value of y.

  -3x +14y = -18

We know x=6 from the second given equation, so ...

  -3(6) +14y = -18

Add 18 to both sides

  14y = 0

Divide by 14

  y = 0

Then the solution is ...

  (x, y) = (6, 0)

Answer:

35 hours

Step-by-step explanation:

First 435-120 to see how much you need to earn which is 315. Then divide that by 9 which is 35 repeating.

Answer:

Step-by-step explanation:

Amount needed = 435 - 120 = $ 315

Total hours to work = 315 ÷ 9

                                 = 35 hours.

I have to work for 35 hours

Answer:

2.5 cm high

Step-by-step explanation:

9514 1404 393

Answer:

  x = 21

  y = 25

Step-by-step explanation:

The diagonals of a quadrilateral bisect each other, so each half of a diagonal is congruent to the other half.

  x -2 = 19

  x = 21 . . . . add 2

__

  y +1 = 26

  y = 25 . . . . subtract 1

Answer:True

There is no way to have a negative because it's the number's distance from zero

Answer:

1. 1 in 5

2. There are 5 colors it could land on, and orange is one of them.

3. 40 different combinations

4. There are 5 colors with 8 corresponding numbers. 5x8=40

Step-by-step explanation:

1) 20%

2) Assuming that on the spinner with color, every section has an equal share, then the probability of landing on orange is [tex]\frac{1}{5}[/tex] or 20%. This is because, the orange section is one of the five equal sections, or [tex]\frac{1}{5}[/tex] or the spinner. [tex]\frac{1}{5}[/tex] in decimal form is 0.2, to convert to a percent, multiply by 100. Hence one gets, 20%.

3) 40

4) There are 5 sections on the spinner with color, hence 5 possible outcomes when one spins the spinner. On the black and white spinner, there are 8 sections, hence 8 possible outcomes when one spins the spinner. To find the total number of outcomes resulting from the two events, one must multiply the total outcomes from one event by the total outcome of the other event. When one does this, they get that there are 40 possible events.

Answer:

2⁻⁴

Step-by-step explanation:

0.0625 = 1/16 = 1/2⁴ = 2⁻⁴

Answer:

7z-1 hope this helps

Step-by-step explanation:

Hello!

[tex]\large\boxed{slope = 2}[/tex]

Find the slope using the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

We can use two points from the table and plug these into the equation. Use the points (5, 10) and (10, 20) to solve:

[tex]slope = \frac{20 - 10}{10 - 5}[/tex]

Simplify:

[tex]slope = \frac{10}{5}[/tex]

[tex]slope = 2[/tex]

Answer:

-2 < -3 is incorrect among the other statements