Flip about the y-axis, move it up 7 spaces.
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
Answer:
it is 3
Step-by-step explanation:
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<h3>To ProvE :- </h3>
- 1 + 3 + 5 + ..... + (2n - 1) = n²
<u>Method</u><u> </u><u>:</u><u>-</u>
If P(n) is a statement such that ,
- P(n) is true for n = 1
- P(n) is true for n = k + 1 , when it's true for n = k ( k is a natural number ) , then the statement is true for all natural numbers .
Step 1 : <u>Put </u><u>n </u><u>=</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>
Step 2 : <u>Assume </u><u>that </u><u>P(</u><u>n)</u><u> </u><u>is </u><u>true </u><u>for </u><u>n </u><u>=</u><u> </u><u>k </u><u>:</u><u>-</u>
- Add (2k +1) to both sides .
- RHS is in the form of ( a + b)² = a²+b²+2ab .
- Adding and subtracting 1 to LHS .
- P(n) is true for n = k + 1 .
Hence by the principal of Mathematical Induction we can say that P(n) is true for all natural numbers 'n' .
<em>*</em><em>*</em><em>Edits</em><em> are</em><em> welcomed</em><em>*</em><em>*</em>