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netineya [11]
3 years ago
8

The rabbit population in a certain area is 500​% of last​ year's population. There are 1,100 rabbits this year. How many were th

ere last​ year?
Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

5,500 rabbits

Step-by-step explanation:

500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.

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16% of all Americans live in poverty. If 41 Americans are randomly selected, find the probability that
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I need help on this problem in math
S_A_V [24]

Answer:

  • correct answer is C
  • Haley incorrectly applied the distributive property

Step-by-step explanation:

If you simplify the given equation, you find it matches choice C.

  \dfrac{1}{2}(6-x)+3x=\dfrac{1}{2}x-8\\\\3-\dfrac{1}{2}x+3x=\dfrac{1}{2}x-8\\\\3+\dfrac{5}{2}x=\dfrac{1}{2}x-8\qquad\text{matches choice C}

__

Haley's error seems to be failing to distribute the 1/2 properly when she eliminated parentheses. Apparent, she incorrectly decided that ...

  1/2(6 -x)  ⇒  3 -x . . . . instead of 3 -1/2x

Then when -x was added to +3x, she got 2x. Had she done it properly, she would have added -1/2x to +3x to get 5/2x.

_____

<em>Additional comment</em>

It is a common error to "distribute" the factor outside parentheses to the first term only, as Haley apparently did. Another common error is to fail to distribute minus signs properly. The distributive property requires you apply the outside factor to <em>all</em> of the terms inside parentheses.

5 0
2 years ago
Sin x = - 1/2<br> where (-360 &lt; x &lt; 360)
dimulka [17.4K]

Answer:

-30, 210 and 330 degrees

Step-by-step explanation:

Given the expression Sin x = - 1/2

x = arcsin(-1/2)

x = -30 degrees

Since sin is negative in the third and fourth quadrant

x = 180 + 30

x = 210 degrees

In the fourth quadrant

x = 360 - 30

x = 330

Hence the value of x within the interval -360 < x < 360 are -30, 210 and 330 degrees

3 0
2 years ago
The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h
Bumek [7]
Average speed of cyclist = x
average speed of car = 3x

x = 225/5
x = 45km/h

3x = 3(45)
3x = 135km/h

average speed of cyclist = 45km/h
average speed of car = 135km/h
6 0
3 years ago
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