Ms. Delgado wants to purchase a new home valued at $141,000.
1 answer:
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Answer:
The dimensions of the driveway are 21 ft x 47 ft, which is option "D" in your list of possible answers
Step-by-step explanation:
Notice that the length "L" of the driveway can be written in terms of its width as:
L = 2 w + 5
based on the given information.
Please see the attached diagram to understand the geometry of the problem, and what the area of the brick walkway involves (depicted in brick color) as the addition of the area of two rectangles:
1) one of length L= 2 w + 5 (w being the width of the driveway - depicted in grey) times 3 feet (the width of the brick walkway
and the other one:
2) w + 3 times 3
Therefore the total area of the brick walkway is given by the formula:
(2 w + 5) * 3 +(w + 3) * 3 = 213 square feet
Now we can solve for "w" in the above equation:
6 w + 15 + 3 w + 9 = 213
9 w + 24 = 213
9 w = 213 - 24
9 w = 189
w = 189/9
w = 21 feet
We can now solve for the L of the driveway, using the first formula we created:
L = 2 w + 5
L = 2 (21) + 5
L = 42 + 5
L = 47 feet
Therefore the driveway's width is w = 21 feet
and its length is L = 47 feet
Answer:
15
Step-by-step explanation:
What is average/arithmetic mean?
It means the "sum of the numbers" divided by the "number of numbers".
Let the two numbers be "x" & "y"
It says, average of 2 numbers is 12, so we can write:
Smaller number is 6 less than bigger number. Let's suppose x is the bigger one and y is the smaller one, so we can write:
x - 6 = y
Now we have 2 equations:
x + y = 24
x - 6 = y
Putting 2nd in 1st we get:
x + x - 6 = 24
Solving for x:
2x - 6 = 24
2x = 24 + 6
2x = 30
x = 30/2
x = 15
Now we know y = x - 6, so
y = 15 - 6 = 9
y = 9
The larger number is 15