Answer: 3.5 minutes per problem
Step-by-step explanation: To find the average divide 49 by 14 to get 3.5.
For question 3, the answer is f(x)=3x-4.
In question 3, if -7 is f(x), and it is 3x-4, the answer is -1; if -7 is f(x), and the answer is 4x-3, the answer is -1; if -7 is f(x), and it is 1/2x+3, answer is -20; if -7 is f(x), and it is 3x+1/2, the answer is -5/2.
But, if -4 is f(x), and it is 3x-4, the answer is 0; if -4 is f(x), and it is 4x-3, the answer is -1/4.
So f(x)=3x-4 is the answer for question 3.
For question 4, the answer is the last choice.
Like the one above 3x was the rate and -4 is the initial value.
So for this one, 2/3 is the rate and -2 is the initial value.
The answer to this question is: -3k+10
Short Answer 10
The tough part is the number of drinks.
Let the number of them be x
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
The tip is not included in the tax, and the tax does not include the tip. You can shorten this up quite a bit.
4.5 x + 3 + (10/100) * (4.5x + 3) + (7/100) * (4.5 x + 3) ≤ 60
(1 + 10/100 + 7 /100) (4.5x + 3) ≤ 60 Combine the tax, tip, scone and Lattes
(1.17) * (4.5x + 3) ≤ 60 Divide by 1.17
4.5x + 3 ≤ 60 / 1.17
4.5x + 3 ≤ 51.28 Subtract 3
4.5x ≤ 48.28 Divide by 4.5
x ≤ 48.28 / 4.5
x ≤ 10.72
Discussion.
There's a problem. He can't buy 0.72 of a Latte. He can only buy 10 of them. In this case we must round down so what happens if he buys 10 lattes? Does the price the taxes and the tip allow him to get another Latte? The answer should be no because then you would be 11 lattes and the tip and taxes would push you over 60 dollars. But be careful, sometimes things like this can alter you answer..
Answer: 10 <<<<
Step-by-step explanation:
We can make 2 equations as follows:
2x = y + 16 and x + 2y = 18
x + 2y = 18 is the same as x = 18 - 2y. Hence, 2(18 - 2y) = 2x = y + 16.
2(18 - 2y) = y + 16
36 - 4y = y + 16
5y = 20
y = 4.