Answer:
93 pieces
Step-by-step explanation:
To cover his backyard with sod, he needs to cover the area of the backyard.
His backyard is a rectangle, and area of a rectangle is given as:

Where,
is the length, and
is the width
So, the area of Jim's backyard is
square yards.
The area of each sods are solved using the area of the rectangle formula. So we have
square yards as the area of each sod.
<em>To find </em><em>HOW MANY</em><em> of these sods we would need to cover the whole backyard, we divide the backyard area by each sod area:</em>
<em>
</em>
<u>Since, fractional sods can't be bought, Jim has to buy </u><u>93 sods</u><u> to cover his backyard.</u>
Answer:
The answer is d.
Draw the ray from 12 downward
You could do 3 ten dollar bills, 5 six dollar bills, two fifteen dollar bills and probably a few more. If you had $45 you could use 8 five dollar bills, 8 five dollar bills
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
<h3>How to partition the line?</h3>
The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:

Substitute known values

Evaluate the products

Evaluate the quotients

Hence, the coordinate of the partition is (x,y) = (0.5,-2)
Read more about line partitions at:
brainly.com/question/12959377
Answer:
16
Step-by-step explanation:
Subtracting the given expressions, that is
3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis
= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1
= 3b² - 8 - b³ - b² + 7b ← collect like terms
= - b³ + 2b² + 7b - 8 ← substitute b = - 3
= - (- 3)³ + 2(- 3)² + 7(- 3) - 8
= - (- 27) + 2(9) - 21 - 8
= 27 + 18 - 21 - 8
= 16