4.5 • 10-5 = 40
2.4 • 10-2 = 22
Answer:
the original price of the book is $20
Step-by-step explanation:
sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.
<u>Things that are useless:</u>
- his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
- he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)
- the book is softcover (it could be any type of book, wont affect us getting to the answer)
- the item is a book (it could be anything that he bought, wont affect us getting to the answer.)
<u>Things that are helpful:</u>
- the book was on sale (helps us know that the price was reduced)
- the book was on sale 10% (helps us know how much it was reduced by)
- he spent $18 for the reduced price (helps us know how much he spent)
Ok, now that we know those, let's work on the question.
let b be the original book price
we need to find 10% so we have to use 90% (because 100 - 10 = 90)
if we needed to find 20% we would use 80% (because 100 - 20 = 80)
and so on.
90% of b = 18 (90% of the og. book price equals 18)
90/100 × b = 18 (write a correct equation and make the percent a fraction)
9/10 × b = 18 (simplify both sides of the equation)
9 × b = 180 (multiply both sides of the equation to get rid of fraction)
b = 20 (divide both sides of the equ. to get b by itself)
the original price of the book is $20
hope this helped :D
good luck my friend
- cheesetoasty
First we rewrite the table:
20 30
50 75
80 120
150 ?
We observe that for each 30 number of hops, the distance increases by 45 feet.
We must find the slope of the line:
m = (y2-y1) / (x2-x1)
m = (75-30) / (50-20)
m = 1.5
Then, the line is:
y = 1.5x
We substitute x = 150
y = 1.5 * (150)
y = 225
Answer:
Find the ratio of hops to distance traveled (1: 1.5), then multiply 150 by 1.5.
QUESTION
Your equation is 2x+3y=2 and you need to find the slope.
EXPLANATION
There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.
Slope-intercept form is formatted like this:
y=mx+b
m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by
, which means that is your answer.
Answer: 
Answer: Choice D) x can be anything but 13
========================================================
Explanation:
The domain of
is the same as the domain of g(x)
The domain for g(x) is
saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because

and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.