The desired answer is probably that
2x + 1 = 67
is the equation that can be used to solve the problem. In this case, x represents the smallest integer.
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I like to work problems in consecutive integers by considering their average. Here, it is 67/2 = 33.5. The two consecutive integers whose average is 33.5 are 33 and 34, the solution to the problem. For this, the first equation applies, where x is the value halfway between the two integers. (This answer (2x=67) would likely get marked wrong by your computer grading system.)
Answer:
can you send it clearly it is blur see
1. BC is 1+3=4 (units)
2. AD is 3+5= 8 (units)
3. Draw the altitude CH from point C, as shown in the figure.
4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.
5.



6. AB=CD=4.47 because the trapezoid is isosceles.
7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)
Write the equations,
10 c + 5 f = 6900
5c + 3f = 3660
Double,
10c + 6f = 7320
Subtract,
f = 7320 - 6900 = 420
10 c = 6900 - 5f = 6900 - 2100 = 4800
c = 480
Answer: Cheeseburger 480 calories, fries 420 calories
Check:
10 (480) + 5 (420) = 4800 + 2100 = 6900 good
5(480) + 3(420) = 2400 + 1260 = 3660 good
Let Mike be m and Adam be m+2. Then:
m²+28=(m+2)²
m²+28=m²+4m+4
4m=24
m=6
Mike is 6; Adam is 8
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