Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so t
hat the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
2 answers:
Answer:
After each cut, the remaining area is 80% of the previous area.
Step-by-step explanation:
The original area is 100 cm^2. After the first cut the remaining area is 80 cm^2, that is, 80 cm^2/(100 cm^2)*100 = 80% of the previous. The 80% of 80 cm^2 is 0.8*80 = 64 cm^2, which is the remaining area after the second cut. The 80% of 64 cm^2 is 0.8*64 = 51.2 cm^2, which is the remaining area after the third cut. And so on.
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Answer:
- The diagram bar is attached.
- Addition equation:
- Multiplication equation:
- How are the equation related? Each equation shows 3 groups of 7.
Step-by-step explanation:
We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.
Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).
Therefore:
- Add the numbers inside the blocks in order to get the addition equation that shows the number of beads Jan buys. This is:
- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:
The equations are related. Each one shows 3 groups of 7.
Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.
Step-by-step explanation:
Since in this case the "elevations" are negative because are under sea level, we can call it depth.
In this sense, we are given the "elevations" or depths of two places:
Bajo del Gualicho: -72 m
Lago Enriquillo: -46 m
Keeping in mind we are actually talking about the depth of this places, we can say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:
Where represents Bajo del Gualicho and
represents Lago Enriquillo.