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3 years ago

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Kim and Leon exercise a total of 20 hours each week. Leon exercises 2 hours less than 3 times the number of hours Kim exersices.

How many hours does each exercise?

1 answer:

ddd [48]3 years ago

4 0

Answer:

3

Step-by-step explanation:

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Very short answer type questions:. (5×2=10)

Vilka [71]

Adivasi 4:367 on edge

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2 years ago

Prove the following statements: (a) For every integer x, if x is even, then for every integer y, xy is even. (b) For every integ

Murrr4er [49]

Answer and Step-by-step explanation:

(a) Given that x and y is even, we want to prove that xy is also even.

For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.

(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:

Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.

(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.

3 0

3 years ago

Identify the linear function graph.<br> A) <br> B) <br> C) <br> D)

katovenus [111]

Answer:

The answer is (A)

Step-by-step explanation:

7 0

2 years ago

What information does a supply schedule provide?

Ratling [72]

The <em><u>correct answer</u></em> is:

It shows the supply of an item at different prices.

Explanation:

The definition of a supply schedule is:

"A method used to show the different amounts of a certain product or item that a company would need to supply based on different price points. "

This means it shows the amount of a product that a company should have based on the different prices it sells them at.

6 0

3 years ago

Read 2 more answers

Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?

Nina [5.8K]

Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3

area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222

legnth of each side is $2\sqrt{ \frac{3918}{ \sqrt{3} } }$ cm or about 95.12222 cm

7 0

2 years ago