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Anarel [89]
2 years ago
14

Determine the median of the following numbers: 40,49,62,56,68,39,50,61,54,44

Mathematics
2 answers:
ExtremeBDS [4]2 years ago
5 0
39 40 44 49 50 54 56 61 62 68
50+54=104/2= 52
Answer is 52
Anit [1.1K]2 years ago
4 0

Answer: 52

Step-by-step explanation: first put all numbers in  numerical order

then find the two centermost numbers

then add those numbers up

then divide the answer by 2

your answer is 52

hope this helps mark me brainliest if it helps

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Which transformation of triangle T will produce triangle U?
Bezzdna [24]

Answer:A

Step-by-step explanation:

6 0
3 years ago
Linear equations 3(x+1)=3x+3
vaieri [72.5K]
4x + 2 - 3x + 5 - 2(x + 5) = (2x - 5) + (3x + 4) 
4x + 2 - 3x + 5  - 2x - 10 =   2x - 5 +   3x + 4 
4x - 3x - 2x + 5 + 2 - 10  =  2x + 3x - 5 + 4 
        - x             - 3           =       5x       - 1   
-x - 3 = 5x - 1 is the line above recopied 
+x     = +x       
    -3   = 6x - 1 
<span>    +1   =    + 1 </span>
    - 2   = 6x 
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3 0
3 years ago
How many ways can Carlos choose 2 pizza toppings from a menu of 4 toppings if each topping can only be chosen once?
Ahat [919]

Answer:

30 different ways

Step-by-step explanation:

Hi

for the first topping she can choose 1 of 6 items

so she has 6 choices

and then the second topping she has 5 choices as each topping can only be chosen once

so it comes 6 * 5 = 30

3 0
3 years ago
The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a
liubo4ka [24]

Answer:

(x,y,z)=(1477, 1464, 1437)

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>
  • Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
  • Mr.A earns Rs6000

So, the equation would be

3x  +  5y - 4z = 6000

<h3>Case-2:</h3>
  • Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
  • Mr B neither lose nor gain meaning he has made 0₹

hence,

2x   - 3y  +  z = 0

<h3>Case-3:</h3>
  • Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
  • Mr.C earns 13000₹

therefore,

- x    + 4y  +  6z = 13000

Thus our system of equations is

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

\begin{cases}3x  +  5y - 4z = 6000\\2x   - 3y  +  z = 0\end{cases}\\\begin{cases}2x   - 3y  +  z = 0\\ - x    + 4y  +  6z = 13000\end{cases}

Now solve the equation accordingly:

\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}

Solving the equation for x and y yields:

\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

\implies z= \dfrac{217000}{151}

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0
2 years ago
A Speedboat increases in speed uniformly from 20m/s to 30m/s for 12.2 s. What is the acceleration of the speedboat?
Aloiza [94]

Answer:

0.82 m/s^2

Step-by-step explanation:

Given data

initial velocity=20m/s

Final velocity= 30m/s

Time = 12.2s

Applying the formula

a= v-u/t

a= 30-20/12.2

a= 10/12.2

a= 0.819

a=0.82 m/s^2

6 0
2 years ago
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