The other answer here, by Nicholasrichar, has the correct answers,
but it's a pain to follow through step-by-step because of the formatting
problem. Here's my solution, leading to the same answers:
P = cost of pancakes
cost of omeletto, = P+1.50
4 omelettes = 4P + 6
3 pancakes = 3P
Total cost of food = 7P + 6
After 7% tax = 1.07(7P + 6)
After tip = 1.07(7P + 6) + 3.50
Eliminate parentheses: 1.07(7P) + 1.07(6) + 3.50 =
7.49P + 6.42 + 3.50 =
Total cost of breakfast: 7.49P + 9.92 .
Having a "range" between $25 and $40 is really two inequalities:
First inequality: $25 < 7.49P + 9.92
Subtract 9.92 from each side: 15.08 < 7.49P
Divide each side by 7.49: $2.013 < P
An order of pancakes costs more than $2.01 .
Second inequality: 7.49P + 9.92 < $40
Subtract 9.92 from each side: 7.49P < 30.08
Divide each side by 7.49 : P < $4.016
An order of pancakes costs less than $4.02.
The price range of an order of pancakes is $2.01 < Pancakes < $4.02 .
Answer:
Total voucher value is 1352
Step-by-step explanation:
X eqals voucher amount
Sam money 1/2x - 35
Jack money 1/2x - 78
Both 1239 = 1/2x - 35 + 1/2x - 78
1239 = x - 113 /+113 both sides
<u>1352 = x</u>
The answer should be A. In order to solve these half-life problems, I encourage you to find an algebra calculator online, and plug in these numbers. The remaining grams goes in front, so 3.
The entire equation should look something like 3 = 15(1/2)^t/4.95
The 4.95 represents how long it takes before the sample halves, t is your answer, 1/2 represents the value halving every 4.95 hours, 15 is the initial sample size, and 3 is the end result that remains.
The overall answer should be about 11.5 hours, as per an algebra calculator.
Hope this helps solve any other similar problems
Okay so 18/45 = 2/5 in simplest form. hope this helped
