Answer:
900 - 1= (31)(29)
Step-by-step explanation:
We need to factor 900 -1
We write each number in square form
900 can be written as 30^2
1 can be written as 1^2
Now we apply difference of square formula
a^2 - b^2 = (a+b)(a-b)
So 900 - 1= (31)(29)
Answer:
9.
Step-by-step explanation:
You are 9 ( 9 = 3*3 so it is composite).
Answer:
10.3 %
<u>Skills needed: Markup </u>
Step-by-step explanation:
1) There is a formula for mark-up that allows one to directly solve for the percentage, and it will be broken down below.
---> Markup is the percent increase for a product or service.
---> It finds out how much percent a product has increased in price from the original price.
---> There are certain markup percentages used by stores to determine the price of a new product or a product very high in demand.
2) The formula mark-up, which is the percent raise in the product price is as shown below:
is the new (usually increased) cost
is the original cost
is markup (as a %)
(The 100 is there to convert the decimal answer into a percent).
3) We can use this for this problem, as the original price (Which is last year's price) is 145, and the new price is 160:
(Note: I rounded 15 divided by 145 to the nearest ten-thousandths place as that is the amount of decimal places needed).
10.34% rounds to 10.3% when rounded to the nearest tenth (as stated).
Answer: 43
Step-by-step explanation:
<u>Concept:</u>
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
<u>Solve:</u>
**Disclaimer** I assume that the expression is [4x² + 5x - 8]. If it was, then you may refer to my answer. If it was not, then you may point it out and I will redo it.
Given
4x² + 5x - 8
x = 3
Substitute the value of x
4(3)² + 5(3) - 8
Simplify exponents
4(9) + 5(3) - 8
Simplify multiplication
36 + 15 - 8
Final subtraction and addition
43
Hope this helps!! :)
Please let me know if you have any questions
Explanation
If two lines are parallel then that means that they have the same slope. The equation of a line in slope-intercept form is the following:
The line given by the question is:
As you can see by comparing both expressions the slope of this line is 1/2. Therefore if a line is parallel to this one its slope must be 1/2.
Answer
Then the answer is 1/2.