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Oksanka [162]
3 years ago
12

Ms. Johnston's students counted by fives. The first person said, "Five." The next said, "Ten"; the next "15." They went all the

way up to 100. How many students counted to get to 100? Bobby said, "50." When asked how he knew, he said, "Because 5 is half of 10, and 50 is the same number as 5, just with a 0, and 10 is the same as 100 just with another 0."
How are you going to respond to Bobby? POST your response by WEDNESDAY. REPLY you other group members by SUNDAY - you agree with their approach to Bobby? How does it compare to your answer?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
3 0

Answer:

20 students.

Step-by-step explanation:

The <u>first </u>person said 5 (which is 5 x 1), the <u>second </u>person said 10 ( which is 5 x2)... we see that this is a arithmetic sequence where the first term is 5 and the nth term is 100. We know that 100 = 5 x 20, therefore, the number of students that counted all the way up to 100 was 20 and Bobby was wrong.

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6x3= 18 + g =18g (Hope this helped!)
8 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
Show that the value of the expression: ( 10+5 3 + 10−5 3 )2 is a rational number.
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The value of the expression is 400

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