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zheka24 [161]
4 years ago
14

2x=2y-6 & y= -x-1 determine amount of solutions

Mathematics
1 answer:
jek_recluse [69]4 years ago
4 0

do I have to??????????

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What is the LCD of 4, 5, and 6
Ahat [919]
Solutions 

<span>To solve the problem our first step is to find the prime factorization of each number. </span>

4 = 2² 
<span>5 = 5 </span>
<span>6 = 2 x 3 
</span>
Calculations 

<span>LCM = 2² x 3 x 5 = 60 </span>
6 0
3 years ago
Six sophomores and 14 freshmen are competing for two alternate positions on the debate team. Which expression represents the pro
Elanso [62]

Answer:

<em>Choose the first alternative</em>

\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}

Step-by-step explanation:

<u>Probabilities</u>

The requested probability can be computed as the ratio between the number of ways to choose two sophomores in alternate positions (N_s) and the total number of possible choices (N_t), i.e.

\displaystyle P=\frac{N_s}{N_t}

There are 6 sophomores and 14 freshmen to choose from each separate set. There are 20 students in total

We'll assume the positions of the selections are NOT significative, i.e. student A/student B is the same as student B/student A.

To choose 2 sophomores out of the 6 available, the first position has 6 elements to choose from, the second has now only 5

_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C} \text{ ways to do it}

The total number of possible choices is

_{2}^{20}\textrm{C} \text{ ways to do it}

The probability is then

\boxed{\displaystyle P=\frac{_{1}^{6}\textrm{C}\ _{1}^{5}\textrm{C}}{_{2}^{20}\textrm{C}}}

Choose the first alternative

7 0
3 years ago
Read 2 more answers
sofia has to walk 1 2/25 miles to school. she has already walk 2/3 of a mile. how much farther dose she need to walk ? help me p
love history [14]

Answer:

She need to walk 31/75 miles to school.

Step-by-step explanation:

It is given that,

Sofia has walk 1\dfrac{2}{25} miles to school. She has already walk \dfrac{2}{3} of a mile.

We need to find how much farther does she need to walk.

Total distance =  1\dfrac{2}{25} =\dfrac{27}{25}

Let she has to walk x distance to school.

x=\dfrac{27}{25}-\dfrac{2}{3}\\\\=\dfrac{31}{75}

Hence, she need to walk 31/75 miles to school.

7 0
3 years ago
When writing a geometric proof, which angle relationship could be used alone to justify that two angles are congruent?
Allisa [31]
Vertical angles i believe is the right answer to this problem
5 0
3 years ago
Read 2 more answers
Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left.
nirvana33 [79]

Answer:

24 - X = 10

Step-by-step explanation:

Given that Mai's water bottle had 24 ounces in it. After she drank x ounces of water, there were 10 ounces left, in order to determine the equation that represents this situation, the following reasoning has to be made:

Since the bottle has 24 ounces of liquid, that is its initial content, from which an amount X is subtracted, after which 10 ounces of water remain. That is, 24 - X = 10.

Thus, this equation is solved in the following way:

24 - X = 10

24 = 10 + X

24 - 10 = X

14 = X

8 0
3 years ago
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