Answer:
(i): $10.20
(ii): $32:51
Step-by-step explanation:
(i) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $1.80
3. subtract the discount, $1.80, from the original price, $12: $10.20
(ii) 1. put the percentage of the discount into a decimal: 0.15
2. multiply 0.15 by the sale price to find the amount of the discount: $5.74
3. subtract the discount, $5.74, from the original price, $38.25: $32.51
Answer:
n = 10
Step-by-step explanation:
The triangles are equal by SSS theorem, therefore the 2 angles given with a variable must be equal.
This game isn't too bad.
We have a proportion which represents another number.
Basically the problem states that the ratio:
22/40 is applicable to the ratio of:
# Wins / # Games
I'll represent the # Wins with the letter W.
and I'll represent the # of Games with the letter G.
So we simply set them equal to each other.
22/44 = W / G
They gave us G = 162 games
22 / 44 = W / 162
Cross multiply. So, the denominator on the left side of the equation will multiply with the numerator on the right. While the denominator on the right multiplies with the numerator on the left.
44*W = 22*162
You'll probably need a calculator for 22*162, but you can use long multiplication if it isn't allowed.
44W = 3564
Divide 44 on both sides.
W = 3564 / 44
W = 81
C. 81 is our answer!
Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
Answer:
3.) (x + 5) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - x - 30
Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.
The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):
Answer: (x + 5) (x - 6)
