Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 6.3kg : 4.5kg
2 answers:
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Answer:
Step-by-step explanation:
<u>Function modeling</u>
Real-life situations often require the help of mathematics to model numerically what happens when the variables involved can change. It could even be used to predict some expected outcomes from those models.
The problem states Janice receives $.40 per pound when he recycles less or equal than 99 pounds of aluminum. If x is the number of recycled pounds, then the amount of money he receives is
We also know that if he recycles more than 100 pounds of aluminum, the pay increases to $0.5 per pound. In that case, the amount of money is
This is a case where the function is defined differently depending on the conditions of the input variable x. It's called a piecewise function. The function can be written as
Note the function is not well constructed because there is a gap for x=100 where M is not defined. If we establish that for 100 pounds the payment is $0.5, then the second piece would include x=100
The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.
- <em>The equation for f(l) is: </em>
<em>.</em>
- <em>The desired length and width are 8m and 4m</em>
<em />
Given that:
Divide both sides by 2
<u>Equation of f(l)</u>
The sum of the length and the width is represented as: f(l).
So, we have:
Substitute
See attachment for the graph of f(l)
<u>The desired dimension</u>
From the question, we understand that the total length is 12m.
This means that:
So, we have:
Divide both sides by 1.5
Recall that:
Hence, the desired length and width are 8m and 4m, respectively.
Read more about linear equations at:
P<6, but depending on the axis the grip will be different. if it is on an x axis it will be the first graph and if it is y then it will be the second graph attached.
