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frez [133]
3 years ago
7

Prove that the sum of two odd numbers is an even number

Mathematics
1 answer:
Maru [420]3 years ago
5 0
Let a and b be odd number.
Because they are odd, by definition:
a = 2n + 1 
b = 2m + 1
If we add them up:
a + b = 2n + 1 + 2m + 1
         = 2n + 2m + 2
         = 2(n + m + 2)
         = 2k where k = n + m + 2

therefore a + b is always even.

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For each container of tea, McKenzie uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags, how many cups of sugar w
cestrela7 [59]
So tis is a ratio  16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64

we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar
5 0
3 years ago
A demographer is investigating various populations to find out how they use resources. She wants to select the population that u
horrorfan [7]

Answer:

She should select an industrial society (industrial population)

Step-by-step explanation:

An industrial society is a society that owes its operations to the use of technology which supports human usage of resources that allows high production turnouts.

An industrial society has high liking le preference for large population with a high capacity for external energy sources (e.g.fossil fuels) which in directly or indirectly increases the rate which resources are being used and also scale of production.

The resources could be human (labour) natural resources such as water, air, coal, natural gas, coal, etc. and it could also be technology advancements.

7 0
2 years ago
If there are 9 shirts and 8 pants, how many possible outfits
Elena L [17]

Answer:

Uhh Like 50 different outfits using the same paints and shirts just put differently

Step-by-step explanation:

4 0
2 years ago
Find the length of the hypotenuse
Darina [25.2K]

Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

Hope it helped :)

3 0
2 years ago
Using the formula for volume of a cone, express r in terms of V, h and pi
DiKsa [7]

The volume of the cone is one-third of the volume of the cylinder which is equal to the product of area of the base and the height. The equation is,

<span>    V = (1/3)(pi)(r^2)h          </span>

Dividing both sides of the equation by (1/3)(pi)(h) will give us,

<span>  3V/(pi)(h) = r^2</span>

Taking the square-root of both sides,

<span>  r = sqrt(3V/(pi)(h))</span>

3 0
3 years ago
Read 2 more answers
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