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Westkost [7]
3 years ago
8

Each time the carousel runs, 11 children

Mathematics
2 answers:
STALIN [3.7K]3 years ago
6 0
The answer is 5 times
Dmitriy789 [7]3 years ago
4 0

Answer: 5 times

Step-by-step explanation: 11 goes into 50 four times. That means that the first four times the carousel runs, 11 kids will be on it. But since six ungrateful children were left out, the carousel will need to run one extra time so those brats can get a turn.

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amm1812
The slope of the line is 1/3
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3 years ago
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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

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3 years ago
What is the result when the number 4 is decreased by 25%?
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Vlada [557]
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where y' = dy/dx

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combining y' terms
y' (5x-2y) +8x +5y = 0

y'(5x-2y) = -(8x+5y)

dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
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3 years ago
If 4x = 64 then find the value of 12²x - 6
olga2289 [7]

Answer:

2298

Step-by-step explanation:

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x = 64/4

x = 16

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144•16 -6

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