What is 7+(6*5^2+3)

Asha makes a conjecture that the perimeter of a square whose sides are an odd integer is always even. Which choice is the best p

Ivan

Answer: Bottom left corner

Let n be an odd number. Because 4n is a multiple of 2, it is an even number.

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Explanation:

The square has a side length of n, so its perimeter is 4n since n+n+n+n = 4n.

We can rewrite 4n as 2*2n = 2m where m = 2n is an integer. Any number in the form 2*(some integer) is always even. Even numbers always have 2 as a factor.

So whenever it comes to proving something is even, the ultimate goal is to get it into the form 2*(some integer). If we can do this, then the number is even. If not, then the number is odd.

4 0

2 years ago

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The perimeter of the rectangular shaped building is 960 feet. The shortest side of the building is 150 feet. What is the length

Vanyuwa [196]

150+150+2x=960 (width+width+2 length=perimeter)
subtract 300 from each side
2x=660
divide by 2
x=330
the length is 330 ft

8 0

2 years ago

A pair of pants regularly costs $68. The pants are on sale for 45% of the original price. How much will the discount be?

Novay_Z [31]

The discounted amount of pair of pants is $37.4

Solution:

Given, A pair of pants regularly costs $68.

The pants are on sale for 45% of the original price.

We have to find that how much will the discount be?

Now, discounted amount = original price – sold price

Discounted amount = original price – 45% of original price

Discounted amount = $68 – 45% of $68

$\begin{array}{l}{=68-\frac{45}{100} \times 68=68\left(1-\frac{45}{100}\right)=68 \times \frac{100-45}{100}=68 \times \frac{55}{100}} \\\\ {=\frac{3740}{100}=\$ 37.4}\end{array}$