Answer:
<h2>
3/5</h2>
Step-by-step explanation:
If Jennifer has 25 books on her bookshelf and she has 10 fiction books, the number of non-fiction books she has will be 25-10 = 15 non- fiction books.
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/total outcome.
Since we want the expression that represents the probability that the book she selects will be a non-fiction book, our expected outcome will be 15(the total non fiction she selected)
The total outcome will be the total number of books i.e 25.
Probability that she elects non fiction book = 15/25
= 3/5
Answer:
The measure of angle f is 61°
Step-by-step explanation:
A straight line is 180° meaning;
180 - 98 = 82
82 is the angle measure of the unlabeled angle.
All triangles angles add up to 180° meaning;
37 + 82 = 119
180 - 119 = 61°
Given parameters;
Let us solve this problem step by step;
Let us represent Simon's money by S
Kande's money by K
- Simon has more money than Kande
S > K
- if Simon gave Kande K20, they would have the same amount;
if Simon gives $20, his money will be S - 20 lesser;
When Kande receives $20, his money will increase to K + 20
S - 20 = K + 20 ------ (i)
- While if Kande gave Simon $22, Simon would then have twice as much as Kande;
if Kande gave Simon $22, his money will be K - 22
Simon's money, S + 22;
S + 22 = 2(K - 22) ------ (ii)
Now we have set up two equations, let us solve;
S - 20 = K + 20 ---- i
S + 22 = 2(K - 22) ; S + 22 = 2K - 44 ---- ii
So, S - 20 = K + 20
S + 22 = 2K - 44
subtract both equations;
-20 - 22 = (k -2k) + 64
-42 = -k + 64
k = 106
Using equation i, let us find S;
S - 20 = K + 20
S - 20 = 106 + 20
S = 106 + 20 + 20 = 146
Therefore, Kande has $106 and Simon has $146
<h3>
Answer: 14.85 + c = 20</h3>
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Reason:
To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)
The change c is
c = 20-14.85
To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20
In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.
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Extra info (optional section)
If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00
Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.
Answer:
8
Step-by-step explanation:
If the area is 32 and the formula for area of a triangle is base * height / 2, and you have base = 8 and height = x and area = 32, this would be:
8 * x / 2 = 32
Now, solve:
