Answer:
C
Step-by-step explanation:
5.95(x)=71.40
7140/595=12
5.95(12)=71.40
PART A - So the ruler is 22.86 centimeters tall, and after measuring with an inch ruler, is also 9 inches tall.
ruler = 22.86cm
ruler = 9 in
You can equate 22.86cm and 9in because they both equal the length of the ruler (transitive property).
22.86cm = 9in
Then you can write a proportionality equation.
Part B -
Cross multiplying,
Part C - We can use something called dimensional analysis - multiplying 12 cm by (1in/2.54cm) - in order to change the units from inches to cm. This is possible because 1in = 2.54cm, the fraction 1in/2.54cm = 1. And also the units cm will cancel out.
Answer:
13.3 hours
Step-by-step explanation:
% done by Nancy in 8 hours = 100% = 1
8 (% done by Nancy in 1 hour) = 1
% done by Nancy in 1 hour = 1/8
n = 1/8
Similarly,
% done by Nancy in 5 hours + % done by Carole in 5 hours = 1
5 (% done by Nancy in 1 hour + % done by Carole in 1 hour) = 1
n + c = 1/5
Since n = 1/8
% done by Carole in 1 hour = 3/40
Thus,
time taken by Carole to finish the job
So,
4x + 1 = 5 + 2(2x - 4)
4x + 1 = 5 + 4x - 8
4x + 1 = 4x - 3
1 = -3 FALSE
There are ZERO solutions to this equation.
S = { }
Answer:
arithmetic sequence
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 10 - 19 = 1 - 10 = - 9
This means the sequence is arithmetic