Answer:
StartFraction 7 Over 8 EndFraction of an hour
7/8 hour
Step-by-step explanation:
Total movie time = 3 1/2 hours
Lily turned the movie off One-fourth of the way through,
1/4 of 3 1/2
= 1/4 ×7/2
= 7/8 hour
how much time did she spend watching it.
Time spent watching the movie = 3 1/2 hour - 7/8 hour
= 7/2 - 7/8
= 14-7/8
= 7/8 hour
StartFraction 7 Over 8 EndFraction of an hour
Answer:
There are integers that are not rational numbers is false
There are whole numbers that are not rational numbers is false
There are integers that are not whole numbers is true
All rational numbers are integers is false
Step-by-step explanation:
Integers are whole numbers, or numbers that aren't fractions. For example, 1 and 2 are integers, while 5/2 isn't. Integers will always be rational, as rational means that it can be represented as a fraction and the integer 2 can be represented as 2/1 as can 4/2.
Whole numbers are just positive integers.
Not all integers are whole numbers though, since negative integers would not fit the definition of whole numbers (whole numbers have to be positive)
All rational numbers are integers is false, as rational numbers include fractions such as -3/7 or 2/5, which don't cover integers.
Answer:
4/3
Step-by-step explanation:
P=present value of investment = 2800
i=interest per quarter=0.07/4=0.0175
n=number of quarters money invested (to be calculated)
Interest = P[(1+i)^n-1]=500
2800((1+0.0175)^n-1)=500
(1+0.0175)^n=500/2800+1
take log on both sides
n(log(1.0175)=log(1+500/2800)
n=log(1+500/2800)/log(1.0175)
=9.471 quarters
=37.88 months
=37.9 months [ nearest tenth of a month ]
Answer:
This is a 30-60-90 right triangle.
<u>The ratio of sides:</u>
<u>Compare with the given values:</u>
- a = 3√3, b = y, c = x
- y = 3√3*√3 = 9
- x = 2*3√3 = 6√3