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velikii [3]
3 years ago
14

Elise is doing her homework. she plans to spend 1/2 hour on math homework and 1/4 hour on spelling words. which number is a comm

on denominator for 1/2 and 1/4?
Mathematics
1 answer:
Reil [10]3 years ago
7 0
I am pretty sure the answer you are looking for is 12
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In how many ways can a committee of four men and four woman be formed from a group of seven men and eleven women?
-Dominant- [34]
Choosing 4 men from seven can be done in 7C4 = 35 ways
(There are 7 to choose from then 6 and 5 and 4 = 7 x 6 x 5 x 4
but we don’t want them in order so we need to divide by 4! = 4 x 3 x 2 x 1)
Similarly choosing 4 women from 11 can be done in 11C4 = 330 ways.

Total number of ways to choose 4 men and 4 women = 35 x 330 = 11550
3 0
2 years ago
Creating a One-Variable Equation to Model and Solve a Problem
guajiro [1.7K]

Answer:

The hourly fee for rototiller is $3 per hour.

Step-by-step explanation:

We are given the following in the equation:

The rental company  charged an initial fee of $43 with an additional fee per hour.

Let h represents the hourly fee.

The family paid $64 after renting the rototiller for 7 hours.

Thus, we can write the equation:

43 + 7h = 64

Solving the equation, we get,

43 + 7h = 64\\7h = 64-43\\7h = 21\\\Rightarrow h = 3

Thus, the hourly fee is $3 per hour.

Equation:

C(x) = 43 + 3x

where C(x) is the cost function and x is the number of hours rototiller is rented.

The hourly fee for rototiller is $3 per hour.

4 0
3 years ago
Find all critical points of the given plane autonomous system. (Enter your answers as a comma-separated list.) x′ = x 12 − x − 1
Andru [333]

Answer:

the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

Step-by-step explanation:

To consider the autonomous system

x' =x (12 -x - \dfrac{1}{2})

y' = y( 20 -y - x)

The critical points of the above system can be derived by replacing x' = o and y' = 0.

i.e.

x' =x (12 -x - \dfrac{y}{2}) = 0

\dfrac{x}{2} (24 -2x - y) = 0

x = 0 or 24 - 2x - y = 0     ----- (1)

Also

y' = y( 20-y-x) = 0

y( 20 -y - x) = 0

y = 0 or 20 - y - x = 0  -----   (2)

By solving (1) and (2);

we get x = 4 and y = 16

Suppose x = 0 from (2)

y = 20

Also;

if y = 0 from (1)

x = 12

Thus, the critical points are (0,0) , (0, 20), (12, 0) , (4,16)

6 0
3 years ago
Which expression is equivalent to the following complex fraction? <br><br>(pls help me out)​
const2013 [10]

Answer:

B. \frac{-4x + 7}{2(x - 2)}

Step-by-step explanation:

Simplify the given expression to determine its equivalent expression in the given options.

\frac{\frac{3}{x - 1} - 4}{2 - \frac{2}{x - 1}}

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\frac{\frac{3 - 4(x - 1)}{x - 1}}{\frac{2(x - 1) - 2}{x - 1}}

\frac{\frac{3 - 4x + 4}{x - 1}}{\frac{2x - 2 - 2}{x - 1}}

\frac{\frac{-4x + 7}{x - 1}}{\frac{2x - 4}{x - 1}}

\frac{-4x + 7}{x - 1} * \frac{x - 1}{2x - 4}

(x - 1) cancels (x - 1)

\frac{-4x + 7}{1} * \frac{1}{2x - 4}

\frac{(-4x + 7)1}{1(2x - 4)}

\frac{-4x + 7}{2x - 4}

\frac{-4x + 7}{2(x - 2)}

3 0
3 years ago
Consider the function below.
Brut [27]

Answer:

Step-by-step explanation:

6 0
3 years ago
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