A proportion is a statement that two ratios are equal. A ratio is a comparison of two different quantities. "Miles per hour" is a ratio. "Dollars per pound" is a ratio. A proportion is that two of these things are equal.
For example, paying $2/pound for apples is the same as paying $6 for 3 pounds:
That's a portion.
When working with proportions in word problems, you start by setting up one ratio/fraction where you know all the information. You then set up the second one that's missing a piece of information, but you make sure to set it up using the same structure.
If your first ratio is "miles over hours," then the next ratio has to have the same organization.
If your first ratio is "rise over run," then the next ratio has to have the same organization.
Answer:
The y-intercept of the line is the point (0,-41)
Step-by-step explanation:
we have the points
(-36,-117),(-27,-98) and (-18,-79)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
take the points
(-27,-98) and (-18,-79)
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
----> equation in point slope form
step 3
Convert the equation in slope intercept form
where
m is the slope
b is the y-coordinate of the y-intercept
isolate the variable y
therefore
The y-intercept of the line is the point (0,-41)
Answer:
Final price = $79.16
Step-by-step explanation:
Given that:
Sales tax in the state = 7%
Amount spent by Hernando = $73.98
Amount of sales tax = 7% of 73.98
Amount of sales tax = 
Amount of sales tax = 0.07 * 73.98
Amount of sales tax = $5.18
Final price = 73.98 + 5.18 = $79.16
Hence,
Final price = $79.16
I think this is how
<span /><span><span><span>you change the - to a +
8/12 + -1/5 then
2/3+-1/5 then
10/15+-3/15
10+-3
---------
15
7/15
</span></span></span>
Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
In which 
is the first term.
−4,−21,−38
First term -4, so 
Common difference of 
Thus
Find the 64th term of the arithmetic sequence
This is 
. So
The 64th term of the arithmetic sequence is -1075.
