The price of a sweater is $5 less than twice the price of a shirt. if four shirts and three sweaters cost $275, find the price o
1 answer:
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The sweater cost more originally. It costs $2.50 more from jacket.
Step-by-step explanation:
Given,
Discount rate of sweater = 20%
Sale price of sweater = (100-20)% = 80%
Discount rate of jacket = 15%
Sale price of jacket = (100-15)% = 85%
Sale price of each item = $34.00
Let,
x be the original price of sweater.
y be the original price of jacket.
80% of x = 34
Dividing both sides by 0.80
The original price of sweater is $42.50
85% of y = 34
Dividing both sides by 0.85
The original cost of jacket is $40
Difference = 42.50 - 40 = $2.50
The sweater cost more originally. It costs $2.50 more from jacket.
Keywords: subtraction, division
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Answer:
1.
2.
3. The first one represents Dale's commission
Explanation:
1. The composition of the function
means that you first apply the function g(x) and then f(x) on the output of g(x).
That is:
- f(x) = 0.05x
- g(x) = x - 3000
2. The composition of the function
means that you first apply the function f(x) and then g(x) on the output of f(x).
That is:
3. Which one represents Dale's commission
To calculate Dales's commision you must subtract $3,000 from the sales, to find the sales over $3000. That is: x - 3,000, which is the function g(x).
Therefore, you first use g(x).
Then, you must multiply the output of g(x) by 0.05 to find the 5% of the sales over $3,000. That is: 0.05(g((x)) = 0.05(x - 3000) = 0.05x - 150.
Therefore, the composition that represents Dale's commission is the first one: