The reduced price is $38.25.
.15 * 45 = 6.75
45 - 6.75 = 38.25
Answer:
? = 140
Step-by-step explanation:
Use similar triangles and laws of proportions.
36/56 = 90/?
36 * ? = 56 * 90
? = 56 * 90/36
? = 140
Answer:
43100
Step-by-step explanation:
A rectangular one-story house covers an area of 3,700 square feet. The ceilings are 8 feet high. The owners add a second floor to the house. The second floor is 50 feet long and 30 feet wide with ceilings that are 9 feet high. What is the total volume of the interior of the house?
Volume = length x width x height
or volume = area x height
Volume of the one- storey = 3700 x 8 = 29600 square feet
Volume of the second floor = 50 x 30 x 9 = 13500 square feet
volume of interior = 29600 + 13500 = 43100 square feet
8n−7y−12n+5−3y
=8n+−7y+−12n+5+−3y
Combine Like Terms:
=8n+−7y+−12n+5+−3y
=(8n+−12n)+(−7y+−3y)+(5)
=−4n+−10y+5
<h3>
Answer:</h3>
- d. The y-intercept is 1 space higher.
- a. 9 to the power of -1/2
<h3>
Step-by-step explanation:</h3>
1. Changing f(x) to f(x) + 1 adds 1 to every output value of the function, moving that value "1 space higher". This is true for the y-intercept, too.
___
2. The rules of exponents apply:
- a^b · a^c = a^(b+c)
- 1/a^b = a^-b
You apparently want to simplify ...
... 9^(1/4) × 9^(1/2) / 9^(5/4)
... = 9^(1/4 + 1/2 - 5/4)
... = 9^((1+2-5)/4)
... = 9^(-2/4) = 9^(-1/2)
