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mart [117]
2 years ago
11

6x=1/2(2X +7) Solve for x

Mathematics
1 answer:
Daniel [21]2 years ago
7 0

Answer:

Step-by-step explanation:

6x=1/2(2x +7)            Multiply both sides by 2

2*6x = 1/2(2x + 7)*2

12x = 2x + 7              Subtract 2x from sides

12x-2x =2x-2x+7

10x = 7                      Divide by 10

x = 7/10

x = 0.7

Let's check it

6(0.7) = 4.2

1/2 (2*0.7 + 7)

1/2 (1.4 + 7)

1/2 ( 8.4)

4.2

Both sides check. The answer must be x = 0.7

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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
A cube has volume 1331cm3. Calculate the length of one edge of the cube.
pishuonlain [190]

Answer:

answer=11 cm.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Someone help me out here​
PIT_PIT [208]

The values that completes the table are 28, 9, 33, 32 and -3

<h3>Tables and values.</h3>

Tables are used to represents the dependent and independent variable of a function. They are used to formulate function.

From the given table, we are to think of any dependent value and subtract 3 from it to get the equivalent independent value.

From the third column;

a3-3 = 25

a3 = 25 + 3

a3 = 28

For the fourth column

a4 = 12 - 3

a4 = 9

For the fifth column

a5-3 = 30

a5 = 30 + 3

a5 = 33

For the sixth column

a6-3 = 29

a6 = 29 + 3

a6 = 32

For the seventh column

0-3 = a7a

a7 =  0 - 3

a7 = -3

Hence the values that completes the table are 28, 9, 33, 32 and -3

Learn more on table and function here; brainly.com/question/3632175

#SPJ1

6 0
2 years ago
DOES ANYONE KNOW HOW TO DO THIS???
Anna11 [10]

Answer:

Cost of a pound of chocolate chips: $3.5

Cost of a pound of walnuts: $1.25

Step-by-step explanation:

x - cost of a pound of chocolate chips

y - cost of a pound of walnuts

We create two equations based on the information we have:

3x+2y=13

8x+4y=33

The whole point of these problems os to get rid of x or y. In this question, we can do this by multiplying both sides of the first equation by 2, and then subtracting it from the second equation:

8x+4y=33

6x+4y=26

2x=7

x=3.5

Then we change x for 3.5 in the first equation:

3×3.5+2y=13

10.5+2y=13

2y=2.5

y=1.25

Hope this helps!

4 0
2 years ago
Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
Svet_ta [14]
S=[h(2h/tanθ+w+w)]/2
6 0
3 years ago
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