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Vlada [557]
3 years ago
9

3 SHORT QUESTIONS 40 POINTS

Mathematics
2 answers:
Ludmilka [50]3 years ago
5 0
1/3 | 5/6 | 2/3 Hope this helped.
SVEN [57.7K]3 years ago
3 0
Question 3 is \frac{1}{3}. There are two numbers greater than 4 (5 and 6), so the probability would be \frac{2}{6}. Dividing the numerator and denominator by 2 will simplify it to \frac{1}{3}.

Question 4 is \frac{1}{6}. There is only one number greater than 5, which is 6. This is already in simplest form.

Question 5 is \frac{2}{3}. There are four numbers greater than 2, which are 3, 4, 5, and 6. This makes the probability \frac{4}{6}, which simplifies to \frac{2}{3} when the denominator and numerator are divided by 2. 
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<em>Correct answer is C). 6X+11</em>

Step-by-step explanation:

The given function f(x)= \frac{24x^{2} +63x + 34 }{4x+3}

On simplying the function f(x),

f(x)= \frac{6x(4x+3) -18x +63x + 34 }{4x+3}

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A collection of nickels and dimes has a value of 1.85. The value of the dimes is 0.10 less than twice the value of the nickels.
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Step-by-step explanation:

Let n be the number of nickels and d be number of dimes.

Since we know that the value of one dime equals $0.10 and value of 1 nickel is $0.05, therefore, value of n nickels will be 0.05n and value of d dimes will be 0.10d.

We have been given that a collection of nickels and dimes has a value of 1.85.

Let us represent this information in an equation.

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We have been given that the value of the dimes is 0.10 less than twice the value of the nickels.

We can represent this information in an equation as:

0.10d+0.10=2*(0.05n)...(2)

Therefore, our system of equations that can be used to find the number of nickels and the number of dimes is:      

0.05n+0.10d=1.85...(1)  

0.10d+0.10=2*(0.05n)...(2)

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