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max2010maxim [7]
1 year ago
15

The total load on a certain service is 525 kVA. One-third of this load is from motors; 3/5 is lighting; and 1/15 is from other l

oads. What is the kVA of each of these breakdowns of loads? Match with the correct answer shown below.
Mathematics
1 answer:
xxMikexx [17]1 year ago
5 0

Answer:

Motors 175 kVA

Lighting 315 kVA

Other loads 35 kVA

Step-by-step explanation:

The total load on a certain service is 525 kVA.

One-third of this load is from motors, then

\dfrac{1}{3}\cdot 525=175\ kVA

is from motors.

\frac{3}{5} is lighting, then

\dfrac{3}{5}\cdot 525=3\cdot 105=315\ kVA

is lighting.

\frac{1}{15} is from other loads, then

\dfrac{1}{15}\cdot 525=35\ kVA

is from other loads.

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Sheila has $89 in her bank account. She uses 30% of her money to pay a bill. Chose from the following list:
Veronika [31]

Answer:

The correct option is option c,

Step-by-step explanation:

Sheila has $89 in her bank account original orihinally We want to determine the amount of money which she used to pay percentage a bill. This amount is expressed in terms of percentage of the original amount which she had in her bank.

She uses 30% of her money to pay a bill. Therefore, the amount she used to pay the bill =

30/100 89 = 0.3 ×89

= 26.70.

The correct option is option c,

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1 year ago
Triangle ABC is an obtuse triangle with the obtuse angle at the vertex B angle A must be?
alekssr [168]

Acute. No triangle can have more than 1 obtuse angle.

7 0
1 year ago
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Students are going through a three-step process to obtain their ID cards. Each student will spend 2 minutes at the registration
kondaur [170]

Answer:

C. 160 minutes

Step-by-step explanation:

The calculation to be made will be to process 20 students

We have, according to the exercise, the following data:

For process 1: Registration table, Number of servers = 1, Time spent = 2 minutes

For process 2: cashier, number of servers = 3, time spent = 10 minutes

For process 3: ID processing station, number of servers = 4, time spent = 20 minutes

Demand rate = 0.125

To solve it, we will look for the capacity that the server has of the previously mentioned processes, calculating the following:

Capacity = Number of students served per minute

We can say that at the registration table we observe:

Time needed to serve 1 student = 2 minutes

Capacity = 0.5 students per minute

With the cashier we analyze the following:

Time needed to serve 1 student = 10 minutes

Number of servers = 3

Capacity = 0.3 students per minute

ID processing station

Time needed to serve 1 student = 20 minutes

Number of servers = 4

Capacity = 0.2 students per minute

When comparing the processes, it is definitely found that the bottleneck is the ID processing station, where it takes more time to serve a student, which leads us to infer that the capacity of the process is comparable to the capacity of the process bottleneck

Process capacity = 0.2 students per minute

Given, demand rate = 0.125 students per minute

We observe that the demand rate is less than the capacity of the process, therefore we can infer that the number of students served during each minute is the same as the demand rate.

In this way we find that:

Number of students served per minute = 0.125

Time needed to serve 1 student = 1 / 0.125 = 8 minutes

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We conclude that the answer is that it will take 160 minutes to serve 20 students.

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6 0
2 years ago
Read 2 more answers
Thomas graphed the line that represents the equation y=34x.
zloy xaker [14]

Answer:

The ordered pairs represent points on the line are

(4, 3) ⇒ C

(2, \frac{3}{2} ) ⇒ D

(-8, -6) ⇒ E

Step-by-step explanation:

To find the ordered pairs represent points on the line, substitute x by the x-coordinate of each point, if the value of y equals the y-coordinate of the point, then the point is on the line.

∵ The equation is y = \frac{3}{4} x

∵ The ordered pair is (8, \frac{1}{6} )

→ Substitute x by 8

∴ y = \frac{3}{4} (8)

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→ Substitute x by \frac{-2}{3}

∴ y = \frac{3}{4} (\frac{-2}{3})

∴ y = \frac{-1}{2}

∵ The value of y does not equal the y-coordinate of the ordered pair

∴ The ordered pair  (\frac{-2}{3}, \frac{1}{2} ) does not represent a point on the line

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→ Substitute x by 4

∴ y = \frac{3}{4} (4)

∴ y = 3

∵ The value of y equal the y-coordinate of the ordered pair

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∵ The ordered pair is (2, \frac{3}{2} )

→ Substitute x by 2

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∴ y = \frac{3}{2}

∵ The value of y equal the y-coordinate of the ordered pair

∴ The ordered pair (2, \frac{3}{2} ) represents a point on the line

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→ Substitute x by -8

∴ y = \frac{3}{4} (-8)

∴ y = -6

∵ The value of y equal the y-coordinate of the ordered pair

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