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kolbaska11 [484]
3 years ago
6

The grasshopper jumps either one block to the north, or one block to the west. He needs to reach the point that is located four

blocks west and three blocks north of his current position. The grasshopper needs to avoid two dangerous intersections. The first intersection is one block west and one block north of his current position, and the second intersection is two blocks west and two blocks north of his current position. In how many ways can the grasshopper reach the desired destination?
Please help, im kinda new here, so I need answers immediately, I hope brainy doesn't fail me!

Mathematics
1 answer:
Pavel [41]3 years ago
3 0

Answer:

The number of ways the grasshopper can reach the desired destination are 9 ways

Step-by-step explanation:

The directions in which the grasshopper can jump are;

One block north  and one block west

By counting, we have;

The number of possible ways are through blocks

1) 1, 2, 5, 6, 8, 10

2) 1, 2, 5, 6, 8, 9

3) 1, 2, 5, 6, 7, 9

4) 1, 2, 3, 6, 8, 10

5) 1, 2, 3, 6, 8, 9

6) 1, 2, 3, 6, 7, 9

7) 1, 2, 3, 4, 7, 9

8) 15, 14, 16, 12, 11, 10

9) 12, 13, 16, 12, 11, 10

Therefore, there 9 ways the grasshopper can reach the desired destination.

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pychu [463]

Answer:

There are 14 dimes and 17 nickels.

Step-by-step explanation:

Let x be number of nickels and let y be number of dimes.

Given that the total is $2.25 and there are 31 coins, we know that:

0.05x +0.10y = 2.25

x+y = 31

Solving for x yields:

x=31-y

We then proceed by plugging that back into the previous equation:

0.05(31-y)+0.10y=2.25

1.55 - 0.05y +0.10y = 2.25\\ --> Distribute

1.55 +0.05y=2.25 --> add y's together

0.05y=0.7 --> subtract 1.55

y=14 --> divide by 0.05

Therefore, x must equal 17, which means you have 14 dimes and 17 nickels.

7 0
2 years ago
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Answer:

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8 0
3 years ago
Read 2 more answers
Write 4.48 as a mixed number in simplest form.
Gnom [1K]

Answer:

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Step-by-step explanation:

4.48 can be written as 4 48/100

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Simplify some more

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Hope this helped :)

(Didn't you just ask this question?)

7 0
3 years ago
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wariber [46]
2.4 miles

cross multiple 3/25 x x/20
25x=60
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3 years ago
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