The system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
Here, x = Number of carnation bouquets
y = Number of daisy bouquets
From the system of inequalities,
In the first case.
The local florist has never more than a combined total of 40 daisy bouquets, so according to this statement the following equation will be:
x + y ≤ 40.
Again in the second case.
The local florist has never more than a 12 carnation bouquets, so according to this statement the following equation will be:
x ≤ 12.
Therefore, the system of inequalities that represents this situation are
x + y ≤ 40 and x ≤ 12.
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The slope of the line would be positive 5/1 instead of positive 3/1. the y-intercept stays the same.
Remark
A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.
Step One
Find the surface area of the larger cube.
Area = 6 *s^2
s = 15
Area = 6 *15^2
Area = 6 * 225
Area = 1350
Step Two
Find the area of the smaller cube
Area = 6s^2
Area = 6 * 12^2
Area = 6 * 144
Area = 864
Step Three
Find the difference
Area1 - Area2 = difference
1350 - 864 = 486
The difference is area = 486 units^2 <<<<< Answer
There is a slightly shorter way. Take out the common factor of 6
Difference = 6 * (15^2 - 12^2)
Difference = 6 * (225 - 144)
Difference = 6 * (81)
Difference = 486
The equation that can be used to find how many nickels logan uses is: 50÷5.
<h3>Equation to find the number of nickels</h3>
Given:
Total pennies=50
Logan got a nickel of 5 pennies=1
Hence:
Number of nickels=1÷5×50
Number of nickels=50÷5
Number of nickels=10 nickels
Therefore the equation that can be used to find how many nickels logan uses is: 50÷5.
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