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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Answer:y=24 and x=10
Step-by-step explanation:
To find the value of x and y in x=3x-20 and y=-6+30
We gets
y=24
To get x
x=3x-20
Collect like terms
x-3x=-20
Divide through by -2
-2x=-20
x=10
Answer:
What is the area?
Step-by-step explanation:
A linear equation is represented as:
.
The equation of the line is: 
First, we calculate the slope (m) of 
Make y the subject

Divide by 18

In 
slope
So, the slope of
is:

Since, the line is perpendicular to 
The slope of the line is:

So, we have:


The line passes through (4,-2).
So, the equation is:

This gives:



Hence, the linear equation is:

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Answer:
$3.50 each
Step-by-step explanation:
First subtract the drink price from the total,$8.50-$1.50=$7. then divide that amount by 2 since he got 2 burgers. $7/2=$3.50.Each burger is $3.50.