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butalik [34]
3 years ago
7

Use expressions for odd integers to confirm the conjecture that the product for two odd integers is an odd integer.

Mathematics
1 answer:
Mandarinka [93]3 years ago
4 0

k, n - integers  

2k+1  - an odd integer

2n+1  - another odd integer

The product of them:

  (2k + 1)(2n + 1) =

= 4kn + 2k + 2n + 1 =

= 2(2kn + k + n) + 1

The product of integers (2kn) is integer

and the sum of them (2kn+k+n) also is integer

So  (2k + 1)(2n + 1)  = 2(2kn + k + n) + 1  is an odd integer

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A square vegetable garden has side lengths of 8 feet. You plant flowers in the center portion of the garden, a square that has s
Studentka2010 [4]

Base on the total area of the square garden and the number of plants planted on it, the area of the zucchini section is 15 feet²

<h3>How to find area of zucchini section?</h3>

Side Length of the square garden = 8 feet

Area of the garden = side length ²

= 8 feet × 8 feet

= 64 feet²

Flower portion:

Side Length = 2 feet

Area of flower portion = side length ²

= 2 feet × 2 feet

= 4 feet²

Remaining space = Area of the garden - Area of flower portion

= 64 feet² - 4 feet²

= 60 feet²

Remaining space is divided into 4 equal sections

= 60 feet² / 4

= 15 feet²

Therefore,

Tomatoes section = 15 feet²

Onions section = 15 feet²

Zucchini section = 15 feet²

Pepper section = 15 feet²

Learn more about area of a square:

brainly.com/question/24487155

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8 0
1 year ago
Which expression is equivalent to 5(a+4)?
kondor19780726 [428]
----------------------------------------
Apply distributive property :
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5(a + 4) = 5a + 20 (Answer D)
5 0
3 years ago
Read 2 more answers
A $250 Northface jacket is on sale for 20% off. How much is the discount you would take off the jacket?
zubka84 [21]

Answer:

you would take off %20 New total is 200

Step-by-step explanation:

20 percent of 250 is 50

250-50=200

8 0
3 years ago
What is 4 3/7 written as an improper fraction?
aleksley [76]
31/7
First you multiply the denominator(7) by the whole number(4) then you would add the numerator(3) to get the new numerator place the new numerator(31) I’ve the old denominator(7)
I hope this helps
5 0
3 years ago
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In a clothing store, 65% of the customers buy a shirt, 30% of the customers
diamong [38]

Answer:

75%

Step-by-step explanation:

List out known probabilities

\Pr(shirt) = 0.65 = \frac{65}{100} = \frac{13}{20}\\ \Pr(pants) = 0.40 = \frac{30}{100} = \frac{6}{20}\\\Pr(shirt \cap pants) = 0.20 = \frac{20}{100}=\frac{1}{5}

recall equation

\Pr(A \cup B)=\Pr(A)+\Pr(B)-\Pr(A \cap B)

Plug in values

\Pr(shirt \cup pants)=\frac{13}{20}+\frac{6}{20}-\frac{1}{5}\\\\therefore \Pr(shirt \cup pants) = \frac{15}{20} =\frac{3}{4} = 75\%

4 0
2 years ago
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