Answer:
We'll use the variable x to represent last year's price. First, we have to set up an equation:
We get this equation because $13.25 is 6% MORE than last year's price, meaning we need to add the original price to the increase. Next, we combine like terms and solve for x:
Last year's price was $12.50.
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3
Since the denominators are the same, we subtract the numerators
1/3
Answer
Step-by-step explanation:
Answer:
a = 4
Step-by-step explanation:
Since the triangle is right use the tangent ratio to find a, that is
tan30° = 
= 
Multiply both sides by 12
12 × tan30° = a
12 × 
= a
Rationalise the denominator on the left side by multiplying the numerator/ denominator by
12 × 
= a ( cancel the 12 and 3 )
a = 4
Answers:
- (a) 1/10
- (b) 3/10
- (c) 3/10
- (d) 2/5
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Explanations:
Part (a)
There is only one disc labeled "3" out of 10 total. So we end up with the probability 1/10.
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Part (b)
The list of numbers less than 4 are {1,2,3} which are 3 items out of 10 discs. We end up with 3/10.
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Part (c)
A square number, aka a perfect square, smaller than 10 is the list {1,4,9}
Since 1 = 1^2, 4 = 2^2 and 9 = 3^2
Like part (b), we end up with the same result of 3/10.
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Part (d)
The list of primes smaller than 10 is {2, 3, 5, 7}. Notice that 1 is not prime.
So we end up with 4/10 = 2/5.
