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Solution |
3) I'm a mystery number. If you multiply me by 3 and then add 4 the result is the same number if you first add 3 to me and then multiply the result by 4. Write an equation to represent this problem. Then find the mystery number.
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Let N be the mystery number.
Then the equation is:
______________
N = _____
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4) A⁄7 + B⁄13 = 89⁄91
What is A + B if both fractions are positive?
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- Convert both fractions to a common denominator :
- Multiply through by that common denominator:
- Turn this equation into an expression for B:
B =
- Start plugging in values for A, starting with 1 until you get a value for B that is integer. You now have values for both A and B.
- Therefore A + B = __________________
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5) Sandy was scuba diving and exploring under an overhanging rock shelf. She lost track of time and realized just in time that she was almost out of air. Her location is as shown on the diagram. If she has 2.1 cubic feet of air left and she uses it at a rate of 0.7 cubic feet per minute, how fast does she have to swim along the shortest path to arrive safely on the
surface? Express your answer rounding up to the nearest foot per minute to make sure she makes it.
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Use the pythagorean theorem to find the diagonal distance (C) to the surface. Then compute how many minutes of air she has and divide C by that amount of time =
____________ ft/min
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1) Joni is watching her baby sister stack blocks and has discovered that there's an actual pattern! What is a formula that would allow you to compute how many blocks there are in the nth tower?