1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Katen [24]
2 years ago
6

Please answer this with explanation. Please I really am struggling. I will mark you brainalist. Please solve it Please

Mathematics
1 answer:
Hatshy [7]2 years ago
8 0

Answer:

13, 11, 4, 16, 6, 22

Step-by-step explanation:

<em>Let the second digit be x and the last digit be y</em>

Given:

  • Data set: 13, x, 4, 16, 6, y
  • Mean = 12
  • y = 2x or x = 2y

The mean of the data is the average. The average can be calculated by determining the sum of the terms and dividing it by the total digits.

\implies \text{Mean of data:} \ \dfrac{13 + x + 4 + 16 + 6 + y}{6} = 12

Let us substitute the value of y (2x) in the data.

\implies \dfrac{13 + x + 4 + 16 + 6 + 2x}{6} = 12

Now, add all the terms in the data and simplify.

\implies \dfrac{39 + x +2x}{6} = 12

\implies \dfrac{39 + 3x}{6} = 12

Distribute the denominators and simplify.

\implies \dfrac{39}{6} + \dfrac{3x}{6}  = 12

\implies  \dfrac{13}{2} + \dfrac{x}{2}  = 12

\implies  6.5 + \dfrac{x}{2}  = 12

Subtract 6.5 both sides and simplify.

\implies  6.5 + \dfrac{x}{2}  - 6.5 = 12 - 6.5

\implies \dfrac{x}{2} = 5.5

Use cross multiplication and simplify.

\implies x= 5.5 \times 2

\implies  x= 11

To determine the value of "y", simply substitute the value of "x" into the expression that represents the value of "y".

\implies y = 2x

\implies y = 2(11)

\implies y = 22

When the x and y values are substituted in the data, we get;

  • ⇒ 13, 11, 4, 16, 6, 22

Therefore, the data is 13, 11, 4, 16, 6, 22.

You might be interested in
PLS DUE RN<br><br><br><br> WILL GIVE <br><br><br><br><br> BRAINLIST
AnnZ [28]

Answer:

52 doses

Step-by-step explanation:

<h3>hope it help</h3>

<h2>#CRRYONLEARNING!</h2>
3 0
3 years ago
A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. Blueberry granola costs $8.99 per pound
Alik [6]

Answer:the number of pounds of blueberry granola that she should put in the mixture is 10 pounds.

the number of pounds of apple granola that she should put in the mixture is 20 pounds

Step-by-step explanation:

Let x represent the number of pounds of blueberry granola that she should put in the mixture.

Let y represent the number of pounds of apple granola that she should put in the mixture.

She wants to make a 30 pounds mixture. This means that

x + y = 30

A store is selling a mixture of apple granola and blueberry granola for $6.99 per pound. This means that the cost of the 30 pound mixture would be

30 × 6.99 = $209.7

Blueberry granola costs $8.99 per pound and apple granola costs $5.99. This means that

8.99x + 5.99y = 209.7 - - - - - - - - - -1

Substituting x = 30 - y into equation 1, it becomes

8.99(30 - y) + 5.99y = 209.7

269.7 - 8.99y + 5.99y = 209.7

- 8.99y + 5.99y = 209.7 - 269.7

- 3y = - 60

y = - 60/ -3

y = 20

Substituting y = 20 into x = 30 - y, it becomes

x = 30 - 20 = 10 pounds

7 0
3 years ago
The length of the rectangular basketball court is 44 feet more than the width. If the perimeter of the basketball court is 288 f
Temka [501]
Let's first say that L=W+44

and then remember that perimeter is P=2L+2W

replace the L with W+44

we then get P=2(W+44)+2W, now I'll solve it

P=2W+88+2W
P=4W+88

substitute 288 for P

288=4W+88
200=4W
50=W

so now we now how wide the court is. add 44 to find the length which gives you L=94

as always plug the numbers back into your perimeter equation to ensure L and W are correct
8 0
3 years ago
Find the solution for 2-x/3=5
PtichkaEL [24]

Answer:

7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please help quickly this is timed
liberstina [14]

Answer:

the one you have selected is correct

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Suppose it took 19 riders a total of 11 days 21 hours to ride from st Jospeh to Sacramento. If they all rode the same number of
    8·1 answer
  • 331 students went on a field trip. Six buses were filled and 7 student traveled in cars. How many students were in each bus? (Wr
    7·2 answers
  • How do you solve literal eqations
    14·1 answer
  • is it possible to construct a triangle with the given side lengths 35, 120 and 125 units if not explain why not ​
    13·2 answers
  • What is the best estimate for the length of a real base ball bat?
    6·1 answer
  • 2) Customer number two gives you a
    14·1 answer
  • Question below please help
    10·1 answer
  • Find 33⅓% of ⅘ of $4.50.​
    5·1 answer
  • Use the distributive property to remove the parentheses.<br> -7^2+4(-7)-4
    9·1 answer
  • Pls help. I am not very smart!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!