Answer:
15+6=21
Step-by-step explanation:
I think there's an easy way and a hard way to do this, and I think that the way
I'm about to describe is the easier way.
Probability = (number of successful outcomes)/(total number of possible outcomes)
<em>How many total pairs can be drawn from 8 total pens ?</em>
-- The first one drawn can be any one of 8 pens. For each of these . . .
-- The second one drawn can be any one of the remaining 7 .
-- Total number of ways of drawing a pair = (8 x 7) = 56 ways.
-- But there aren't 56 different different pairs. Whether you draw A and then B,
or B and then A, you wind up with the same pair. There are 2 different ways to
draw each pair, so the 56 ways of drawing a pair only produces <u>28</u> different pairs.
<u>How many pairs are two of the same color ?</u>
<em>Possible number of blue pairs:</em>
The reasoning is exactly the same as calculating the TOTAL number of
pairs, as explained above.
With 5 blue pens, you can make <u>10</u> different pairs.
AB, AC, AD, AE, BC, BD, BE, CD, CE, and DE.
<em>Possible number of red pairs:</em>
The reasoning is exactly the same as calculating the TOTAL number of
pairs, as explained above.
With 3 red pens, you can make <u>3</u> different pairs.
AB, AC, and BC.
Total number of possible same-color pairs = 10 + 3 = 13
successes / total possible outcomes = 13/28 = <u>46.4</u>% (rounded)
Answer:
option D
Step-by-step explanation:
Jerry solved this equation:
In the first step , she multiplied 3 inside the parenthesis
1. 
In step 2, 3/4 is added on both sides
2. 
In step 3, we take LCD 12
3. 
In step 4, add the fractions
4. 
Here, 3 or 3/1 are same.
In step 5, to remove 3/1 we multiply both sides by 1/3.
Instead of multiplying 1/3 , Jerry made an error by multiplying 3/1
In step 5, he should have multiplied both sides by 1/3
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
$0.70 per mile is the rate (slope), $10 flat fee is your starting cost (i.e. your y-intercept).
By slope - intercept linear equations we have:
(a) y=mx+b where m is the slope and b is the y-intercept.
y=0.70x+10
(b) The graph is linear on the coordinate plane because the slope (rate) is constant.
(c) The slope of this graph is $0.70 per mile and the y-intercept is $10 flat fee. Your cost is $10 initially and $0.70 for every mile driven.
