Answer:
He multiplied the whole numbers and divided the fractions
Step-by-step explanation:
3 1/2 ÷ 5 4/9
change the mixed numbers to improper fractions
3 1/2 = (2*3 +1)/2 =7/2
5 4/9 = (9*5+4)/9 =49/9
7/2 ÷ 49/9
copy dot flip
7/2 * 9/49
rewrite
7/49 * 9/2
1/7 * 9/2
9/14
Answer:
A
Step-by-step explanation:
-18 is an integer and a whole number
Here I'll help you:
In order to solve the problem we must take the "x" to one side, and the numbers to the other side. When we move the three to the other side of the equation, we must change the "negative" to a positive [if it were to be positive, we'd make it negative.]
Now we have: 5 + 3 = 15x
Let's solve the left side.
We'll have: 8 = 15x
Now we have to divide both sides by 15.
Our answer would be:
.5333333 = 1x
In short, your answer is: X = 5.333333
Part A
Yes y is a function of x. Specifically the equation is y = x^5
For any given input, there is exactly one output
Notice how if x = 1 then y = x^5 = (1)^5 = 1
Notice how if x = -1 then y = x^5 = (-1)^5 = -1
Notice how if x = -2 then y = x^5 = (-2)^5 = -32
Notice how if x = 2 then y = x^5 = (2)^5 = 32
In general,
x^5 = x*x*x*x*x
there are five copies of x multiplied
A more specific example
3^5 = 3*3*3*3*3
there are five copies of '3' multiplied
=====================================================
Part B
All we do is replace x with 4 and use PEMDAS to simplify
f(x) = 2x+12
f(4) = 2(4)+12
f(4) = 8+12
f(4) = 20
The value of f(4) is 20
What does it mean? It is the total cost of renting the bowling lane for 4 hours. If you rent it for four hours, then you'll pay a total of $20.
The portion 2x = 2*4 = 8 is the variable cost which depends on how long you play. The more hours, the more the variable cost goes up
The fixed cost is 12. This is always fixed as this is the price to get in the door. If you play for 0 hours, but somehow got in the door, then you still pay $12
In total, variableCost+fixedCost = 8+12 = 20 = totalCost
Answer:
$167.2
Step-by-step explanation:
It has been given that the price of a new computer is $800.00 and refurbished computer with the same equipment has a price of $640.00.
Let us find the amount that we will save with a refurbished computer if we put the difference into the savings account for a year using simple interest formula.
, where A= Amount after t years, P=principal amount, r = interest rate (decimal form) and t=time.
Our principal amount will be the difference of prices of new computer and refurbished computer.
Upon substituting our given values in above formula we will get,
Therefore, we will save $167.2 with refurbished computer when we put the difference into the savings account for a year.
