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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.
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The fraction 18/24, reduced to its lowest terms, is:
_____________________________
Divide both the numerator and the denominator by the GCD of 18 and 24, which is 6:
18 ÷ 6 = 3
24 ÷ 6 = 4
It's simplest form would be 3/4. This cannot be reduced further.
The fraction 18/24, reduced to its lowest terms, is:
_____________________________
Divide both the numerator and the denominator by the GCD of 18 and 24, which is 6:
18 ÷ 6 = 3
24 ÷ 6 = 4
It's simplest form would be 3/4. This cannot be reduced further.
Answer:
Step-by-step explanation:
Let x represent the number of lawns mowed and y represent the number of cars washed.
1. Since the number of cars that Beth wash is no more than four times the number of lawns Mike has scheduled to mow, you have that .
2. Beth will wash at least 50 cars, then
3. Mike charges $25 each time he mows a yard, then he earns $25x for mowing x yards. Beth charges $15 for each car she washes, then she earns $15y for y cars washed. They need at least $1975, so
4. A set of constraints to model the problem is
Answer:
Step-by-step explanation:
We have 2 equations represented by the lines on the graph
5x + 4y = 20
2x - 6y = 12
To plot the first equation on the graph, we a assume different points
4y = 20 - 5x
y = (20-5x)/4
y = 5 - 5x/4
If x =0, y = 5
If x = 2, y = 2.5
If x = 4, y = 0,
These points corresponds to the first line that cuts the positive y axis.
The first line that cuts the positive y axis is represented by the equation,
5x + 4y = 20
Since the left region of the line representing equation is shaded, the unshaded side represents
5x + 4y lesser than 20
To plot the second equation on the graph, we a assume different points
-6y = 12-2x
y = (2x-12)/6 = x/3 - 2
if x= 0, y = -2
If x = 3,y = 1
These points corresponds to the second line that cuts the negative y axis.
The second line that cuts the negative y axis is represented by the equation,
2x -6y = 12
Since the downward region of the line representing the equation is shaded, the unshaded side represents
2x -6y greater than 12
