The bin containing 382 red, yellow, blue and green balls have a total of 32 green balls.
Let x represent the number of red balls, y represent the number of yellow balls and z represent the number of green balls.
Since ther is a total of 382 balls, hence:
x + y + z = 382 (1)
There is three times as many red balls as yellow balls:
y = 3x
3x - y = 0 (2)
52 more blue balls than yellow balls, hence:
z = y + 52
- y - z = -52 (3)
Solving equations 1, 2 and 3 gives x = 62, y = 186, z = 134
Hence there are 62 red balls, 186 yellow balls and 134 blue balls
Green balls = 62 - 30 = 32 balls
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To find the number of green balls, you need to create equations using the given information. By solving the equations, the bin is determined to have 150 green balls.
To find the number of green balls, we need to consider the given information and create equations to solve for the number of green balls. Let's define the number of yellow balls as 'y'.
From the first statement, we know that there are 3 times as many red balls as yellow balls. Therefore, the number of red balls is 3y.
From the second statement, we know that there are 52 more blue balls than yellow balls. So, the number of blue balls is y + 52.
From the third statement, we know that there are 30 fewer green balls than red balls. So, the number of green balls is 3y - 30.
We can set up an equation: 3y + y + 52 + 3y - 30 = 382. Solving for 'y', we get y = 60.
Substituting the value of 'y' back into the equation for the number of green balls, we find that the bin has 3(60) - 30 = 150 green balls.
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The average rate of population change per year will be 2.2 million.
The difference in population will be:
= 324 million - 313 million.
= 11 million
The difference in years will be:
= 2017 - 2012
= 5 years.
The average rate of population change per year will be:
= 11 million / 5
= 2.2 million
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Answer: 2.2 million.
Step-by-step explanation:
To get the answer, you would need to make 324 million and 2017 a fraction(324 million as numerator (top), 2017 as denominator (bottom) and the same for 313 million and 2012) . From there, you subtract both fractions. You will get 11/5, which would equal 2 1/5. Multiply the 2 1/5 by 2 to get 2 20/100.
Answer:
C
Step-by-step explanation:
(f - g)(x)
= f(x) - g(x)
= 5x² - 3 - ( x² - 4x - 8) ← distribute parenthesis by - 1
= 5x² - 3 - x² + 4x + 8 ← collect like terms
= (5x² - x² ) + 4x + (- 3 + 8)
= 4x² + 4x + 5
Answer:
The answer is C. (f-g)(x) simplifies to 4x²+4x+5
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