Step-by-step explanation:
To multiply the fractions, like
Multiply the top,
then multiply the bottom.
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
You take the top number,
Then you flip the bottom number,
Then multiply the two
And that is your answer. Comment if you need more clarification
The formula for area of a circle is π x r^2
r = radius = 7 cm.
Area = 7^2 x π
Area = 49π cm²
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Answer:
1. D 2. A 3. Distribute the four in 4(x+1)
Step-by-step explanation:
1. It says that Jamie is saying that they are "not equivalent".
2. You have to use the distributive property to distribute the 4 to x and to the 1.
3. After distributing, compare the two expressions and now see if they are equivalent or not.
Step-by-step explanation:
By Law of Indices, a^m * a^n = a^(m+n).
Therefore 8³ * 8⁵ = 8^(3+5) = 8⁸.
