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Viefleur [7K]
2 years ago
11

Solve the system of equations 3x + y = 3 x + y = 2

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
4 0

Answer:

(1/2, 3/2)

Step-by-step explanation:

solve the 1st variable in one of the equations and then substitute it and the result will be turned into the other equation.

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HOW COULD you model 5 students sharing 4 bags of popcorn equally? How much would each student get?
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Each student would get 4/5 bag of popcorn
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3 years ago
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In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider
andreev551 [17]

Answer:

a) Mean = 4.6, median = 3, mode =2

b) Mean = 13.8, median = 9, mode = 6

c) Option C) Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c

Step-by-step explanation:

We are given the following data:

2, 2, 3, 6, 10

a) Mean, median and mode

Sorted data: 2, 2, 3, 6, 10

Mode is the most frequent observation in data.

Mode = 2

b) Multiplying data set by 3

6, 6, 9, 18, 30

Mode = 6

C) Comparison

The mean, median and mode of the new data increased by a factor of 3.

Option C) Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c

Click to let others know, how helpful is it

6 0
3 years ago
What is the sum of 2/11’ 2/7’ and 1/11’?
pav-90 [236]
Solution

To solve this addition of fractions we are gonna apply the fraction rule which is;

a/c + b/c = (a + b)/c

2/11 + 1/11 = (2 + 1)/11


= (2 + 1)/11 + 2/7

Now add the numerators 2 + 1

= (2 + 1)/11 + 2/7

= 3/11 + 2/7

Now we find the least common multiple

The least common multiple of 11 and 7 is 77.

But before that we cross multiply the numerators.

3 * 7 = 21
2 * 11 = 22

Now the ajustes fraction is;

21/77 + 22/77


Apply the fraction rule which is;

a/c + b/c = (a + b)/c

= (21 + 22)/77

Now we add the numerators.

43/77

Therefore the answer in fraction is 43/77 and in decimal form it is 0.55841
6 0
3 years ago
tickets to the country fair cost $8 each. Seventy people bought their tickets at the gate. The revenue ticket sales was $ 2,560.
Gelneren [198K]

Answer:

70 people

Step-by-step explanation:

It literaly says it in the question.

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3 years ago
Simplify the trigonometric expression sin(4x)+2 sin(2x) using Double-Angle
drek231 [11]

Answer:

{ \bf{ =  \sin(4x)  + 2 \sin(2x) }} \\  = { \bf{2 \sin(2x) \cos(2x)   + 4 \sin(x)  \cos(x) }} \\  { \bf{ = 4 \sin(x) \cos(x) . ({ \cos }^{2}  x -  { \sin}^{2} }x) + 4 \sin(x) \cos(x)  }  \\  = { \bf{4 \sin(x) \cos(x)  ( { \cos }^{2}x -  { \sin }^{2}x + 1)  }} \\  = { \bf{4 \sin(x) \cos(x)  }(2 { \cos }^{2} x)} \\  = { \bf{8 \sin(x)  { \cos}^{3}x }}

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