Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by

We know that the sum of 'n' consecutive natural numbers starting from 1 is

Thus from equation 'i' we can write

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Answer:
17.25
Step-by-step explanation:
Ratio of clean clothes to dirty clothes = 3 : 5
Clean clothes = 3
Dirty clothes = 5
Total ratio = 3 + 5 = 8
Total clothing article = 46
how many were clean
Number of clean clothes = ratio of clean clothes / total ratio × total clothing article
= 3/8 × 46
= 0.375 × 46
= 17.25
Answer:
144
Step-by-step explanation:
sorry if im wrong its been awhile since ive done this
A. 40x^2 + 240x + 200
Shape: Rectangle
Formula: A = LW
A = (10x + 10)(4x + 20)
= (10x)(4x) + (10x)(20) + (10)(4x) + (10)(20)
= 40x^2 + 200x + 40x + 200
= 40x^2 + 240x + 200
————————————————————-
2. 57,600 ft^2
Width:
4x + 20 = 160
4x = 140
x = 35
Plug-In:
10x + 10
10(35) + 10
350 + 10
360 = Length
————————————-
A = LW
A = 360 • 160
A = 57,600 ft^2
There are to be exact only 2 ways to answer this equation because of the way math was made.