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Naya [18.7K]
3 years ago
8

How do you solve 3×(9+2-8÷16)

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0
Remember order of operations (PEMDAS):

3•(11-1/2)
3•10.5
31.5
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Round to underline digit 3 in 32, 336
Charra [1.4K]
I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?
5 0
3 years ago
An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah r
Alex787 [66]

Answer:

20 mph

Step-by-step explanation:

First problem:

The new speed is 26 mph.

The old speed was x.

The new speed is 30% higher than the old speed.

1.3x = 26

x = 20

Answer: 20 mph

Second problem:

A number, perhaps a percent or a fraction, is missing from the problem.

4 0
2 years ago
Explain why in a drawer containing only two different colors of socks one must draw only three socks to find a matching pair
Greeley [361]
As pair means that 2 socks with the same color need to be drawn for it to be identified as a pair.
However there is a probability that if u only pick 2 socks, then they could kid each have different COLORS.
By picking 3 socks (bearing in mind there are only 2 types of color) it’s guaranteed that two socks will have the same color.
5 0
2 years ago
A rectangle is twice as long as it is wide and has the same perimeter as a square whose area is 36 square feet larger than that
Korvikt [17]

Answer:

  • rectangle: 12 ft × 24 ft
  • square: 18 ft square

Step-by-step explanation:

You want the dimensions of a rectangle and square such that they have the same perimeter, but the square has an area of 36 more square feet. The rectangle is twice as long as wide.

<h3>Setup</h3>

Let x represent the side length of the square. Then its area is x², and the area of the rectangle is (x² -36).

This area is the product of length and width. The expression factors as ...

  rectangle area = x² -36 = (x +6)(x -6)

<h3>Solution</h3>

If we assume these factors are the dimensions of the rectangle, then the longer dimension is twice the shorter one:

  (x +6) = 2(x -6)

  18 = x . . . . . . . . . add 12-x to both sides

This is the side length of the square. The rectangle dimensions are ...

  x+6 = 18+6 = 24 . . . . feet long

  x -6 = 18 -6 = 12 . . . . feet wide

The rectangle is 12 feet wide and 24 feet long. The square is 18 feet on a side.

__

<em>Additional comment</em>

The perimeter in each case is 4x = 2((x+6) +(x -6)) = 72 ft.

The area of the rectangle is (12 ft)(24 ft) = 288 ft². The area of the square is (18 ft)² = 324 ft², a value that is 36 ft² more than the rectangle area.

<em>Alternate solution</em>

Using x for the width of the rectangle, the length is 2x and its area is x(2x) = 2x². The perimeter is 2(x +2x) = 6x, so the side length of the square is (6x)/4 = 3/2x and its area is (3/2x)² = 9/4x².

The difference is 36 square feet, so we have ...

  9/4x² -2x² = 36 = x²/4   ⇒   x = √(36·4) = 6·2 = 12 . . . . width of rectangle

8 0
1 year ago
The area of a regular hexagon inscribed in a circle with radius 2 is . Round your answer to the nearest tenth.
Verdich [7]

Answer:

10.4 to nearest tenth.

Step-by-step explanation:

If we draw lines from the centre of the circle to each vertex of the hexagon we get 6  equilateral triangles  of side length 2.

Altitude of each triangle  = sqrt(2^2 - 1^2)

= sqrt3.

So the area of 1 triangle = 1/2 * 2 * sqrt3

= sqrt3

Therefore the area of the hexagon = 6 * sqrt3

= 6sqrt3

= 10.3923

6 0
2 years ago
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