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3 years ago

What is the answer to -8p+3=-29

1 answer:

3 0

$-8p+3=-29 \\ \\ -8p = -29 - 3 \\ \\ -8p -32 \\ \\ p = \frac{-32}{-8} \\ \\ p = \frac{32}{8} \\ \\ p = 4 \\ \\ Answer: \fbox {p = 4}$

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Three workers have to do a certain job. The first worker can finish the job in 8 hours. The second worker can finish the job in

mestny [16]

Working together three workers would take 1 hour 36 minutes to finish the job

Solution:

Given that first worker can finish the job in 8 hours

So in one hour, first worker can do $\frac{1}{8}$ th of the work

The second worker can finish the job in 4 hours

So in one hour, second worker can do $\frac{1}{4}$ th of the work

The third worker can also finish the job in 4 hours

So in one hour, third worker can do $\frac{1}{4}$ th of the work

The three workers working together in 1 hour can do:

$\frac{1}{8} + \frac{1}{4} + \frac{1}{4} = \frac{1 + 2 + 2}{8} = \frac{5}{8}$

The three worker can thus do $\frac{5}{8}$ th of the work in one hour

Hence the three of them together can finish the work in $\frac{8}{5}$ hours

$\frac{8}{5} = 1\frac{3}{5}$ hours

Thus working together three workers would take 1 hour 36 minutes to finish the job

8 0

3 years ago

Mary can type six letters in 20 minutes, Maggie can type five letters in 20 minutes, and Su Ying can type two letters in 20 minu

Grace [21]

Answer:

Step-by-step explanation:

After 20 minutes, will all of them working together, they would have typed 13 letters. Then after another 20 minutes, it would be 26. Then 39. But after that is gets tricky. Mary types a letter every 3 minutes. Maggie types a letter every four minutes. and Su Ying types a letter every 10 minutes. After 6 minutes, the total would go to 42 letters. Then another 3 minutes it would be 44 letters. And finally, Su Ying finishes it. Taking a total of 70 minutes, or 1 hour and 10 minutes.

Mark Brainliest Please, And I'm Glad I Could Help. (If I Did) :) Have A Good Day!

8 0

3 years ago

On Sundays, cars arrive at Sami Schmitt's Scrub and Shine Car Wash at the rate of 8 cars per twenty minute interval. Using the P

Sliva [168]

Answer:

The probability that five cars will arrive during the next thirty minute interval is 0.0127.

Step-by-step explanation:

Let X = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.

The average number of cars arriving in 20 minutes is, 8.

The average number of cars arriving in 1 minute is, $\frac{8}{20}=\frac{2}{5}$ .

The average number of cars arriving in 30 minutes is, $\frac{2}{5}\times 30=12$ .

The random variable X follows a Poisson distribution with parameter λ = 12.

The probability mass function of X is:

$P(X=x)=\frac{e^{-12}12^{x}}{x!};\ x=0,1,2,3...$

Compute the probability that 5 cars will arrive in 30 minutes as follows:

$P(X=5)=\frac{e^{-12}12^{5}}{5!}$

$=\frac{6.1442\times10^{-6}\times 48832}{120}$

$=0.0127$

Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.

6 0

3 years ago

5x -1=3x -5 explain also

belka [17]

First add 1 to each side. It will leave you with an equation like this. 5x=3x -4

Next, subtract 3x from each side. It will leave you with an equation like this. 2x= -4

Lastly, divide each side by 2 so we can get x by itself.

ANSWER: x=-2

4 0

3 years ago

There are 1,600 students at a university. 24% of students are sophomores, 20% are juniors, and 28% are seniors. How many student

tatuchka [14]

Answer:

448 freshman.

Step-by-step explanation:

How many students at the university are freshmen?

= (1 - (.24 + .2 + .28)) * 1600 = .28 * 1600 = 448 freshman.

8 0

3 years ago