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lorasvet [3.4K]
2 years ago
13

He price of a desktop computer decreases from $1360 to $1020 what is the percentage decreasing in its price ?

Mathematics
1 answer:
In-s [12.5K]2 years ago
3 0

Answer:

Dec % = 340/1360*100= 25%


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A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9  - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² -  (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0
3 years ago
Simplify the expression:<br> 1+4(2x-3)
irina1246 [14]

Answer:

8x - 11

Step-by-step explanation:

?

just do the multiplications and add things up.

1 + 4(2x - 3) = 1 + 8x -12 = 8x - 11

6 0
3 years ago
Read 2 more answers
If the original quantity is 20 and the new quantity is 16​, what is the percent​ decrease?
victus00 [196]

Answer:

20% Decrease

5 0
3 years ago
Read 2 more answers
Which statement best explains the relationship between
Paladinen [302]

A- they are parallel because they have equal slopes.

7 0
2 years ago
The perimeter of a triangle is 41 inches. The three sides of the triangle are all differnt lenghts. The longest side is 10 less
erma4kov [3.2K]

Answer:

Longest\ side=20\ inches\\\\Middle\ side=15\ inches\\\\Shortest\ side=6\ inches

Step-by-step explanation:

Let be "x" the lenght of the longest side, "y" the lenght of the middle side and "z" the lenght of the shortest side.

The perimeter is:

41=x+y+z       [Equation 1]

We know that the longest side is 10 less than twice the middle side length. This can be expressed as:

x=2y-10          [Equation 2]

And the middle side length is three less than three times the shortest side length. This is:

y=3z-3         [Equation 3]

The steps are:

- Solve for "z" from the third equation:

y=3z-3\\\\y+3=3z

z=\frac{y+3}{3}    [Equation 4]

- Substitute [Equation 4] into [Equation 1]

- Substitute [Equation 2] into [Equation 1]

Then:

41=(2y-10)+y+(\frac{y+3}{3})

- Solve for "y":

41=2y-10+y+\frac{y+3}{3}\\\\41=2y-10+y+\frac{y}{3}+1\\\\41=\frac{10}{3}y-9\\\\41+9=\frac{10}{3}y\\\\\frac{50*3}{10}=y\\\\y=\frac{150}{10}\\\\y=15

- Substitute this value into [Equation 2] and into [Equation 4]:

x=2(15)-10\\\\x=20

z=\frac{(15)+3}{3}\\\\z=6

4 0
3 years ago
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