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Zigmanuir [339]
2 years ago
13

Solve the following two equations. Show all of your

Mathematics
1 answer:
Elena L [17]2 years ago
7 0

Step-by-step explanation:

Given that,

Two equations,

3x + 11 = 11 .....(1)

And

3(x - 3) = 45

or

3x-9=45 ....(2)

Subtract 11 on both sides of equation (1).

3x + 11-11 = 11-11

3x=0

x = 0

Add 9 to both sides of equation (2)

3x-9+9=45+9

3x = 54

x = 18

Hence, the solution of equation (1) is x=0 and form equation (2) x = 18.

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Colin surveyed 12 teachers at school to determine how much each person budgets for lunch. He records his results in the table. W
zmey [24]

Answer:

<em>As mean and median are equal, so the data will be in normal distribution in shape of a symmetrical "bell curve".</em>

Step-by-step explanation:

The given data:   10   5   8   10   12   6   8   10   15   6   12   18

<u>Mean is the simple average of all data</u>. As, there are total 12 data, so the Mean will be:  \frac{10+5+8+10+12+6+8+10+15+6+12+18}{12}= \frac{120}{12}=10

For finding the Median, <u>first we need to rearrange the data according to the numerical order and then identify the middle value</u>. So........

5   6   6   8   8   10   10   10   12   12   15   18

Here the middle values are 10 and 10. So, the median will be the average of those two middle values.

Thus, Median =\frac{10+10}{2}=\frac{20}{2}=10

We can see that, <u>the relationship between the mean and the median is "they are equal"</u>. So, the data will be in normal distribution and the shape will be symmetrical "bell curve".

8 0
2 years ago
Read 2 more answers
If a system of linear equations has an infinite number of solutions, what do you know about the graph of the system?
exis [7]
The answer is B because they never pass through each other therefore it has infinite possibilities
7 0
2 years ago
Solve for the variable. if necessary, round to the nearest tenth.
Yanka [14]

Answer:

b. 8 is the correct answet it's clearly

7 0
2 years ago
Is .444 rational or irrational???
Murljashka [212]
Any terminating decimal number is rational.
A rational number is a number that can be written as a fraction of integers.

0.444 = 444/1000 = 222/500 = 111/250

0.444 is the same as 111/250, a fraction of integers, so 0.444 is rational.
6 0
3 years ago
What is y=\dfrac{2}{3}x+4y=
lara [203]

Answer:

12y+x-12=0

Step-by-step explanation:

If I'm not mistaken by the question, we have

x+4y=\dfrac{2}{3}x+4

Multiply through by the LCM of all the denominators to clear the fractions. Since we have only one fraction, we multiply through by its LCM (3)

3\timesx+3\times4y=3\times\dfrac{2}{3}x+3\times4

3x+12y=2x+12

Putting all terms on the LHS (left hand side) and evaluating,

12y+x-12=0

5 0
3 years ago
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