Answer:
$760
Step-by-step explanation:
First off we need to define the amount of feet per square yard.
(3feet= 1yard)
(9 squarefeet = 1 square yard)
Now we find the total area of Amanda's living room.
12 x 15 = 180 sq feet
Now that we have the total area of Amanda's living room, we then divide the total to the number of square feet in a square yard.
180 / 9 = 20 square yards.
Amanda will need a total of 20 square yards to carpet her living room. Now we simply multiply the amount of each square yard to the total amount of square yards that Amanda needs.
38 x 20 = $760
Answer:
170
Step-by-step explanation:
Answer:
y = x - 2
Step-by-step explanation:
1. Find the slope - change in y/change in x
= 1
Slope is 1
2. Find y-intercept
y = x + b
Substitute a point (2,0)
0 = 2 + b
b = -2
3. Put the equation together
y = x - 2
Step-by-step explanation:
yes, if your teacher meant to include the default factors of every positive integer number : 1 and the number itself.
these are the 2 positive integer factors.
if a positive number can only be divided without remainder by 1 or by itself (with result 1), then it is per definition a prime number.
if the number can be divided without remainder by another number, then we are not dealing with a prime number.
but if your teacher did not have these default factors in mind, then no :
example : 15
15 has only 2 factors : 3 and 5.
both are positive integer numbers.
and yet 15 is not a prime number.
but back to my first point, 15 also has formally the factors 1 and 15. so, if we count them too, then we have suddenly 4 factors. and the original statement fits again.
Answer:
(12, 40)
Step-by-step explanation:
The first thing is to assume that we have a point with the following coordinates (x, y).
Now, we can have two different cases since the meaning of the expansion of a point is moving to a new point that is a greater distance from the origin if we are expanding by a value, that is, an integer in the system of coordinates and the other case is that if we are dilating by a fraction that is between 0 <x <1, then the distance from the origin decreases.
Now, the point (x, y) goes through an expansion by a scale factor f (with the origin as the expansion point), then the new coordinate of the point = [f * x, f * y], that scale factor has the value of 3, so if we replace we have:
(3 * 4, 4 * 10) = (12, 40)
