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Angelina_Jolie [31]
3 years ago
6

Perform the indicated operation. Be sure the answer is reduced.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0
The answer is: k^{2} /2

 The explanation is shown below:
 1. You have the following expression given in the exercise above:
 ( 4k^{2}) /(2k+3)(2 k^{2} -5k-12)/(8k-32)

 2. By applying the distributive property, you obtain:
 (8k^{4}-20k^{3}-48k)/(16k^{2} -40k-96)
 3. Now, you must factor k^{2} in the numerator and 2
 in the denominator:
 k^{2}(8 k^{2} -20k-48)/2(8 k^{2} -20k-48) 
 4. Simplify:
 k^{2} /2
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11111nata11111 [884]

Answer:

<h2>25</h2>

Step-by-step explanation:

So there is this property,

Sum of two angle of triangle = exterior angle

So based on this we can form an algebraic equation (NOTE: this is an equilateral triangle so all the sides are 60°)

4x + 20 = 60 + 60 \\ 4x = 120 - 20 \\ 4x = 100 \\ x =  \frac{100}{4}  \\ x = 25

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6 0
2 years ago
If M = 5x2 + 7x-4 and N = -3x2-4x+5, then M -N equals
Yuki888 [10]

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Step-by-step explanation:

6 0
3 years ago
1. A bag of 12 oranges costs $2.99. What is the cost per orange?
Reil [10]

Answer:

1- $ 0.25.

2- $ 26.25.

3- $ 1.73.

Step-by-step explanation:

1- Given that a bag of 12 oranges costs $ 2.99, to determine what is the cost per orange, the following calculation must be performed:

2.99 / 12 = X

0.249 = X

Thus, the cost of each orange is $ 0.25.

2- Given that 4 slices of pizza cost $ 10.50, to determine what is the cost of 10 slices of pizza at this rate, the following calculation must be performed:

10.5 / 4 x 10 = X

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Thus, the cost of 10 slices of pizza is $ 26.25.

3- Given that 4 pieces of candy cost $ 0.99, to determine what is the cost of 7 pieces of candy at this rate, the following calculation must be performed:

0.99 / 4 x 7 = X

0.2475 x 7 = X

1.7325 = X

Thus, the cost of 7 pieces of candy is $ 1.73.

6 0
2 years ago
Three times the first number plus two times the second number is 12
Vika [28.1K]
First number - x
Second number - y

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This expression would represent a linear equation.
3 0
3 years ago
At a​ school, 129 students play at least one sport. This is 30​% of the students at the school. How many students are at the​ sc
kkurt [141]
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430 students
3 0
3 years ago
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