Answer:
630
Step-by-step explanation:
The sum of an arithmetic sequence is given by ...
Sn = n(2a1 +(n-1)d)/2
For the sequence of numbers of bales, we have ...
a1 = 123, d = -11, n = 7
so the total number of bales in 7 trips around the field is ...
S7 = 7(2·123 +6(-11))/2 = 630
The total number of bales made is about 630.
_____
123 + 112 + 101 + 90 + 79 + 68 + 57 = 630
The "slope" means how far you rise when you travel 1 unit horizontally.
"Steeper" means you rise higher for each horizontal distance ... more slope.
A slope of 1/12 means 12 horizontal units raise you one unit higher.
12 horizontal inches raise you 1 inch higher.
1 horizontal foot raises you 1 inch higher.
12 horizontal feet raises you 1 foot higher.
In order to rise 2 feet, you'd have to cover (2 x 12) = 24 horizontal feet
on a 1/12 slope.
The bathtub will hold 74.375 ft^3 (or cubic feet) of water. To find the volume of the rectangular prism shape, use the formula v=lwh, which means volume=length*width*height; where * is the symbol for multiplication.
Answer:
x=14 , y = 21
Step-by-step explanation:
y=x-7...............1
5x+2y=7......2
reset eqn .....2
2y=-5x+7
so; y=-x-7 ×5
2y=-5x+7 ×1
5y = -5x -35
2y = -5x +7
5y-2y = -5 + 5 -35-7
<u>3y</u> = - <u>42</u>
3 3
y = 14
sub y=14 into eqn ...........1
y = -x -7
14 = - x -7
14 +7 = - x
-21 = x
x = 14 , y =-21

Btw it's an inequality not an equation