Answer:
I'm thinking it's B but I might be wrong.
Sorry if it's wrong
A rug is to fit in a room so that a border of even width is left on all four sides.
If the room is 16 feet by 25 feet and the area of the rug is 220 square feet, how wide will the border
:
Let x = the width of the border around the rug
then
(25-2x) by (16-2x) the dimensions of the rug
:
The area equation
(25-2x)*(16-2x) = 220 sq/ft
FOIL
400 - 50x - 32x + 4x^2 = 220
:
Arrange as a quadratic equation
4x^2 - 82x + 400 - 220 = 0
:
4x^2 - 82x + 180 = 0
Simplify, divide by 2
2x^2 - 41x + 90 = 0
Factor
(2x - 5)(x - 18) = 0
Two solutions
2x = 5
x = 2.5 ft
and
x = 18 ft, obviously this not the solution
;
Border will be 2.5 ft
:
:
Check this by finding the dimension of the rug, and then the area
(25 - 2(2.5))*(16 - 2(2.5)) =
(25 - 5) * (16 - 5) =
20 * 11 = 220
<h2>
Answer:</h2>
The repair took:
2 hours and 45 minutes.
<h2>
Step-by-step explanation:</h2>
The worker charges $54 for the first hour, and $15.50 for each additional 15 minutes.
Let he does a job of additional 15 minutes for: x times.
This means that:
Cost for additional minutes will be: $ 15.50x
Hence, his total cost will be equal to: 54+15.50x
i.e.
54+15.50x=162.50
i.e.
15.50x=162.50-54
i.e.
15.50x=108.50
i.e.
x=108.50/15.50
x=7
Hence, the work took a total of:
60+15×7=165 minutes
which is: 2 hours and 45 minutes.
Answer:
<h2>Graph b</h2>
Step-by-step explanation:
The equation of a linear function in slope-intercept form:
m - slope
b - y-intercept
The graph of linear function is a straight line therefore we need only two points to the plotting the graph.
5+4=9 therefore the number is divisible by 9.
9×6=54
Then you find the prime factors of the two numbers that times together to make 54.
9=3×3
6=3×2
So 2×3×3×3=54
OR 2×3^3