The polynomial remainder theorem states that the remainder of the division of a polynomial
by
is equal to
.
Therefore

Answer: Tyrone has 28 mystery novels.
Step-by-step explanation:
Divide 42 by 3 to get 1/3 of the books he has.
42/3 = 14
14 * 2 = 28
28 = 2/3 of his books
Answer:
50 and 60 mph respectively
Step-by-step explanation:
Step one:
given data
total distance= 450 miles
time take= 9 hours
Required
Tom and Tammy's average speed
Step two:
Tom's average speed= 450/9
= 50 miles per hours
Tammy's average speed= 450/7.5
= 60 miles per hours
Answer:
a) 22 batches
c) 7.3 batches
Step-by-step explanation:
a) It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?
0.25 cup = 1 batch
5.5 cup = x
Cross Multiply
0.25 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.25 cup
x = 22
I can make 22 batches of chocolate chip cookies. You may use the scratchpad to show your work.
(b) Lemon Cookies It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
0.75 cup = 1 batch
5.5 cup = x
Cross Multiply
0.75 cup × x = 5.5 cup × 1 batch
x = 5.5 cup × 1 batch/0.75 cup
x = 7.3 batches
I can make 7.3 batches of lemon cookies. You may use the scratchpad to show your work.
Answer:
2^7
Step-by-step explanation:
3+7=10