First of all, you know that a fraction is smaller than 1 if the top number is smaller than the bottom. It works both ways, meaning that if the top number is larger than the bottom number, the fraction is greater than 1.
So, for example, a fraction less than 1 can be expressed as
(x-1)/x
because the top number is smaller than the bottom number.
The reciprocal can be found by flipping the top and the bottom, so the reciprocal is
x/(x-1)
x is always greater than x-1, so in the reciprocal, the top number will be larger than the bottom number. That means it will always be greater than 1.
Hope this helps!
(Sorry if this is confusing)
The true statements are:
- The independent variable is the number of people.
- The rate of change is $8.67 per person.
- As the number of people increases, the total cost of the picnic increases.
<h3>What are the true statements?</h3>
The independent variable is the variable that determines the value of the dependent variable. There is a positive relationship between the number of people at the picnic and the total cost. This is because it can be seen as the number of people at the picnic increases, the total cost changes.
Rate of change = total cost / number of people
$52 / 6 = $8.67
To learn more about independent variables, please check: brainly.com/question/26287880
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Prime factorization means that we divide 90 by prime numbers only.
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
2 x 3 x 3 x 5 = 90
2 x 3² x 5 = 90
or 2,3,3,or 5
We use the equation 2x+8x=50.
10x=50
x=5
The rectangle will be 20 cm long and 5 cm wide.
Hope this helps!