Answer:
Step-by-step explanation:
Use the formula Sum = (a + L)*n/2
The tricky part is n. That's the number of terms between 1 and 99 inclusive.
n = 99 -1 + 1 = 99
n = 99
a = 1
L = 99
Sum = (1 + 99)*99 / 2
Sum = (100)*99/2
Sum = 4950
Answer:
The slope = -5
Step-by-step explanation:
y ≥ -5x + 8
Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5
9514 1404 393
Answer:
65 feet
Step-by-step explanation:
The problem involves finding the perimeter of a rectangle, then making adjustments to remove parts of the perimeter that aren't wanted.
The perimeter of a rectangle is given by the formula ...
P = 2(L+W)
For Aubrey's 12' × 8' room, the perimeter is ...
P = 2(12' +8') = 40'
This is the length of the border Aubrey needs at the ceiling.
__
At "waist-high", we need to subtract the total width of all the windows and doors. That total is ...
3' + 4' + 3' + 5' = 15'
So, the waist-high border is 40' -15' = 25'.
__
The total amount of border Aubrey needs is ...
ceiling border + waist-high border = 40' + 25' = 65'.
Aubrey needs 65 feet of border.
Answer:

Step-by-step explanation:
Catherine walks her dog 3/4 a mile everyday.
We want to find how far she walks each week.
There are 7 days a week and she walks 3/4 a mile everyday so weekly she walks 3/4 * 7 = 5 1/4 mile a week.
You are calculating the perimeter of the triangle.
Just add up the 3 side lengths. It's 20.6 meters.