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labwork [276]
2 years ago
6

Solve the following equation

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

Answer: \frac{- 1}{11}

Step-by-step explanation:

Note: the "." symbol stands for multiplication

Given,

\frac{2x+4}{3} \\  - \frac{5x-7}{2} = 5

First we the LCM = 6,

\frac{2(2x+4)}{2.3} - \frac{3(5x-7)}{3.2}= 5

Then, we join both sides, since they have same denominator

\frac{2(2x+4) - 3(5x-7)}{6} = 5

Multiply again

\frac{4x+8 - 15x+21}{6} = 5

Add the same numbers

\frac{-11x + 29}{6} = 5

Transpose 6 to the other side

-11x + 29 = 5.6

-11x + 29 = 30

Transpose 29 to the other side

-11x = 30 -29

-11x = 1

Transpose 11 to the other side to get answer

x = \frac{-1}{11}

Hope it helps! If you have any doubts, feel free to ask

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Svetlanka [38]
The total measure of the interior angles of each figure will be:

180 (n-2) = 180 (4 - 2) = 360

Now add all those angles and set them equal to 360.

41 + 133 + 86 + x = 360

x is the unknown angle.

260 + x = 360
x = 100

The missing angle that is Not labeled in any of the figure is 100°

Hope this helps :)
8 0
3 years ago
Macy is painting a design that contains two repeating patterns. One pattern repeats every 8 inches. The other repeats every 12 i
spayn [35]

Answer:

8-inch pattern is fully printed 28 times.

12-inch pattern is fully printed 19 times.

Patterns start at the same place 9 times

Step-by-step explanation:

1. 19 feet is 228 inches.

2. 8-inch pattern is fully printed 28 times.

3. 12-inch pattern is fully printed 19 times.

4. 8-inch patterns starts at`0,8,16,24,32,40,48...

5. 12-inch pattern starts at 0,12,24,48...

6. As you see they start at the same place after 24 inches.

7. 228/24=9.5, => They start at the same place 9 times.

3 0
3 years ago
Have Retirement Benefits
charle [14.2K]

Answer:

(a) The probability of the intersection of events "man" and "yes" is 0.55.

(b) The probability of the intersection of events "no" and "man" is 0.10.

(c) The probability of the union of events "woman" or "no" is 0.45.

Step-by-step explanation:

The information provided is:

             Yes    No   Total

Men       275   50     325

Women  150   25      175

Total      425   75      500

(a)

Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

P(M\cap Y)=\frac{n(M\cap Y)}{N}=\frac{275}{500}=0.55

Thus, the probability of the intersection of events "man" and "yes" is 0.55.

(b)

Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

P(N\cap M)=\frac{n(N\cap M)}{N}=\frac{50}{500}=0.10

Thus, the probability of the intersection of events "no" and "man" is 0.10.

(c)

Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

P(W\cup N)=P(W)+P(N)-P(W\cap N)=\frac{175}{500}+\frac{75}{500}-\frac{25}{500}=0.45

Thus, the probability of the union of events "woman" or "no" is 0.45.

5 0
3 years ago
What is the wave speed of a wave that has a frequency of 25 Hz and a wavelength of 0.80 m?
tatuchka [14]

Answer:

Speed = 20 m/s

Step-by-step explanation:

The formula to find the speed of a wave is found by

Speed = Wavelength x Frequency  where the frequency is in HZ and the wavelength is in meters

Speed =  .80*25

Speed = 20 m/s

3 0
3 years ago
Read 2 more answers
Find the length and width of a rectangle with an area of 2x^2+x-3
nasty-shy [4]
2x^2 + x -3 can be factorised 

<span>[2x + 3][x - 1] </span>

<span>As length times width = area </span>

<span>one possible set of measurements are </span>

<span>length = [2x + 3] </span>
<span>width = [x-1] </span>
6 0
3 years ago
Read 2 more answers
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