Answer:
Step-by-step explanation:
We have been given two expressions and
Now we need to find out least common multiple of these two expressions.
First we need to find out what is common factor of both expressions. and
Least common multiple means find the expression which can be divided by both expressions.
15 and 6 both goes into 30
so 30 is part of LCM (least common multiple )
Now pickup the highest exponent of each variable.
So we get
Hence required least common multiple is
Answer:
Step-by-step explanation:
Evan spent 20 hours doing homework last week
25 hours were spent this week.
<u>Let's see what 125% of 20 equals:</u>
= (125 / 100) * 20
= (125 / 10) * 2
= 125 / 5
= 25 hours
But,
<u>It is written that Evan thought he spent 125 % more than the last week which means:</u>
= (125% of 20) + 20
= 25 + 20
= 45 hours
He should've said that he has given 25% more time than the last week.
(<u>Note that:</u> 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)
Hope this helped!
<h3>~AH1807</h3>
Answer:
The sum of the first six terms is 38.39
Step-by-step explanation:
This is a geometric sequence since the common difference between each term is
Thus,
To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.
To find the fifth term:
The general form of geometric sequence is
To find the fifth term, substitute in
To find the sixth term, substitute in
To find the sum of the first six terms:
The general formula to find Sn for is
Thus, the sum of first six terms is 38.39
Answer: Third option.
Step-by-step explanation:
In order to solve the given exercise it is important to remember that:
1. Rational numbers are defined as those numbers that can be wrriten as a simple fraction.
2. The symbol for Rational numbers is: Q
3. Integers can be positive numbers, negative numbers and zero.
4. The symbol for Integers is: Z
5. Fractions have the following form:
Where:
"a" is the numerator and "b" is the denominator.
The numerator "a" and the denominator "b" are both Integers ( and )
Therefore, based on the information given above, you can conclude that Rational numbers are numbers of the form ∈
9514 1404 393
Answer:
120
Step-by-step explanation:
The dimension across the front in terms of cubes is ...
5/3 cm = 5×(1/3 cm) = 5 cubes
The front-to-back dimension in terms of cubes is ...
4/3 cm = 4×(1/3 cm) = 4 cubes
The height in terms of cubes is ...
2 cm = 6×(1/3 cm) = 6 cubes
Then the volume in terms of cubes is ...
V = LWH = 5×4×6 = 120 cubes
It will take 120 cubes to fill the prism.