Answer:
109 square feet.
Step-by-step explanation:
109 in: = 109/12 = 9.0833333.... = 9 5/60 = (540+5)/60 = 545/60
Area = L*w
L = 545/60 feet
W = 12 feet
Area = 545/60 * 12
Area = 545*12/60
Area = 545 /5 = 109 square feet.
The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
Convert it to the general form given below:

or

(Slope of AB line)
For the slope(m') of the PQ line:
( because AB and PQ are perpendicular to each other)

We know the:

Where (x', y') = (7, 6), we get:


(multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
brainly.com/question/3493733
The solution to the linear expressions are:
- a. $36.26
- b. -$19.35
- c. $70.38
<h3>Solving linear expressions:</h3>
The solution to linear expression is determined by taking into consideration the arithmetic operations used in each linear expression.
From the information given:
a. $18.79 + $2.11 + ‐$1.92 + $17.28
By rearrangement:
= $18.79 + $2.11 + $17.28 ‐$1.92
= $36.26
b. $7.45 + ‐$24.45 + $74.17 + ‐$76.52
By rearrangement:
= $7.45 + $74.17 ‐ $24.45 ‐ $76.52
= -$19.35
c. $98.45 − $10.63 + $2.82 − $20.26
By rearrangement:
= $98.45 + $2.82 − $10.63 − $20.26
= $70.38
Learn more about solving linear expressions here:
brainly.com/question/2030026
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Answer:
About 6 chairs
Step-by-step explanation:
75x=22.50+420
75x=442.5
x=5.9
So about 6 chairs
Answer:
A hot dog would cost 1.75 and the juice would cost 1.05
Step-by-step explanation:
In order to find this, set x as the number of hot dogs and y as the number of juice drinks. This allows us to set up the following equations for each situation.
6x + 4y = 14.70
3x + 4y = 9.45
Now we can mutliply the second equation by -2 to get the x values to cancel out.
6x + 4y = 14.70
-6x - 8y = -18.90
------------------------
-4y = -4.20
y = 1.05
Now that we have this, we can plug it into either equation to find the cost of a hot dog.
3x + 4y = 9.45
3x + 4(1.05) = 9.45
3x + 4.20 = 9.45
3x = 5.25
x = 1.75