2(2x + 7) = 2 + 2xA. One Solution B. No Solution C. Infinite Solutions
2 answers:
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Given the 6 pound weight of the new seasoning having ingredients that cost $8, and $11, the amount she should charge for 1 ounce is $0.53125
<h3>Which method can be used to calculate the price of the new seasoning?</h3>The ingredients in the new seasoning are;
5 pounds of dried rose hips + 1 pounds of five-spice powder
Cost of the ingredients are;
1 pound of dried rose hips = $8
1 pound of five-spice powder = $11
The cost of combined spice, <em>C</em>, is therefore;
C = $8 × 5 + $11 × 1 = $51
The weight of the new combined seasoning = (5 + 1) pounds = 6 pounds
Cost of 1 pound of the new seasoning is therefore;
- 1 lb of the new seasoning = $8.5
- 1 lb = 16 ounces
Therefore;
- The amount she should charge for 1 ounce is $0.53125
Learn more about unit conversion calculation here:
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Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.