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3 years ago

how many machines will be needed to complete a task in 8 days, given that 4 machine can complete the same task in 12 days

Mathematics

1 answer:

Virty [35]3 years ago

6 0

Answer:

6 machines

Step-by-step explanation:

Let x be the time needed for 1 machine to complete the job, so rate of one machine is (rate is the reciprocal of time)

$\frac{1}{x}$

rate of 4 machines would be

$1 \: job = 12 \times \frac{4}{x} = \frac{48}{x} \\ 1 \: macine \: takes \: 48 \: days$

$\frac{48 \: days \: per \: machine}{8 \: days} = 6 \: machines$

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Department stores customer parking lot has four rows with an equal number of parking spots in each row. The loud also has 15 par

Katen [24]

Answer:

4c + 15

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

A department store's customer parking lot has 4 rows with an equal number of parking spots in each row. The lot also has 15 parking spots for store employees. If c cars can be parked in each of the 4 main rows of the parking lot, what is the expression for the maximum number of cars that can be parked in the parking lot?

15c − 4

c(15 − 4)

4c + 15

4(c + 15)

✓We were told that the customer stores parking has Total number of 4 rows,

✓ for " c" cars to be parked in the 4 main rows i.e in each of them, we can calculate the overall numbers of car parked in the rolls as ( 4 × c)= 4c

✓ we were told that there are 15 parking spots available to employees in the store

✓ maximum number of cars that can fit into the parking lot will be ( 15 + 4c)

= 4c + 15

3 0

3 years ago

28xw+7wy-4kx-ky Factor the polynomial completely Thank you!

Genrish500 [490]

Answer:

(7w - k)(4x + y)

Step-by-step explanation:

Factor by grouping is best for this expression. To factor by grouping, group pairs of terms with parenthesis. Then find the GCF in each pair. If the parenthesis match after, the factoring is complete.

28xw + 7wy - 4kx - ky

(28xw + 7wy) + (- 4kx - ky)

7w(4x + y) - k (4x + y)

The factors are (7w - k)(4x + y).

3 0

3 years ago

Help me with PART B!!! Use image to help!!

sasho [114]

I think it’s 3
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8 0

3 years ago

Which of the following is not a proportion?

Alina [70]

4/10 = 12/20 since 4/10 = 10/20

5 0

4 years ago

Read 2 more answers

A recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with

tia_tia [17]

Answer:

Probability that deliberation will last between 12 and 15 hours is 0.1725.

Step-by-step explanation:

We are given that a recent study showed that the length of time that juries deliberate on a verdict for civil trials is normally distributed with a mean equal to 12.56 hours with a standard deviation of 6.7 hours.

Let X = length of time that juries deliberate on a verdict for civil trials

So, X ~ N( $\mu = 12.56, \sigma^{2} = 6.7^{2}$ )

The z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 12.56 hours

$\sigma$ = standard deviation = 6.7 hours

So, Probability that deliberation will last between 12 and 15 hours is given by = P(12 hours < X < 15 hours) = P(X < 15) - P(X $\leq$ 12)

P(X < 15) = P( $\frac{X-\mu}{\sigma}$ < $\frac{15-12.56}{6.7}$ ) = P(Z < 0.36) = 0.64058

P(X $\leq$ 12) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{12-12.56}{6.7}$ ) = P(Z $\leq$ -0.08) = 1 - P(Z < 0.08)

= 1 - 0.53188 = 0.46812

Therefore, P(12 hours < X < 15 hours) = 0.64058 - 0.46812 = 0.1725

Hence, probability that deliberation will last between 12 and 15 hours is 0.1725.

7 0

4 years ago