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jolli1 [7]
2 years ago
6

You are in charge of a crew that inspects cars. Each car takes approximately 1/2 hour for 1 person to inspect. The normal crew h

as 10 people, but this crew is missing 2 people. If you have 320 cars that need to be inspected, how many hours will each of the inspectors need to work?
Mathematics
1 answer:
jonny [76]2 years ago
7 0

Answer:

Each inspectors NEEDS to work 20 hours in order to review 320 cars.

Step-by-step explanation:

The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr

The total people in crew are supposed to be 10

But 2 people are MISSING.

So, the total number of present people in crew = 10 - 2=  8

The total number of cars to be inspected  = 320 cars.

Since each car takes 0.5 hour to be reviewed.

So, the time required to review 320 cars =  320 x 05  = 160 hours.

So, the total hours needed to inspect all 320 cars = 160 hours

Now,as there are total 8 crew members.

\implies \textrm{The number of hours each inspector needs to work} = \frac{\textrm{Total working hours needed}}{\textrm{Toal number of inspectors}} \\= \frac{160}{8}  = 20

Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.

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if 1000 spherical of radius 1 cm are melted to form a bigger bulb. Then find the radius of bigger bulb​
never [62]

Answer:

10 cm

Step-by-step explanation:

Given:

No. of small spherical bulb = 1,000

radius (r) of smaller bulbs = 1 cm

Required:

radius of the bigger bulb

SOLUTION:

The following equation represents the relationship of the volume of the smaller and bigger bulb,

\frac{V_2}{V_1} = 1,000

Where,

V_2 = volume of bigger bulb

V_1 = volume of smaller bulb

1,000 is the number of smaller bulbs melted to form the bigger bulb.

Volume of a sphere is given as, ⁴/3πr³

Therefore:

V_2 = ⁴/3*π*r³ = 4πr³/3

V_1 = ⁴/3*πr³ = ⁴/3*π*(1)³ = ⁴/3π*1 = 4π/3

Plug the above values into the equation below:

\frac{V_2}{V_1} = 1,000

\frac{\frac{4*pie*r^3}{3}}{\frac{4*pie}{3}} = 1,000

\frac{4*pie*r^3}{3}*{\frac{3}{4*pie} = 1,000

\frac{4*pie*r^3*3}{3*4*pie} = 1,000

\frac{12*pie*r^3}{12*pie} = 1,000

r^3 = 1,000 (12pie cancels 12 pie)

r = 10 (taking the cube root of each side)

Radius of the bigger bulb = 10 cm

3 0
2 years ago
If m∠C = 90°, side c = 29, and side a = 21, then side b = ___. 20 19 22 17
den301095 [7]

Answer:

b) 20

Step-by-step explanation:

Here m∠C = 90, It is a right triangle.

So we can use the Pythagorean theorem.

b = √(c^2 - a^2)

Given: a =21 and c = 29. Now let's plug in these values in the above formula, we get

b = √(29)^2 - (21)^2

b = √(841 - 441)

b = √400

b = 20

Therefore, the side length b = 20.

Hope this will helpful.

Thank you.

7 0
1 year ago
Read 2 more answers
Which is a solution to (x – 3)(x + 9) = –27?
EleoNora [17]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

(x - 3)(x + 9) = -27

Expand the brackets:

x^2 + 9x - 3x - 27 = -27

Simplify:

x^2 + 6x - 27 = -27

+ 27 to both sides

x^2 + 6x = 0

Factorise:

x(x + 6)

The solutions are x = 0, x = -6

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5 0
2 years ago
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Wayne Inc., a health insurance company, pays clerks an incentive based on the average amount of work completed per hour. Wayne p
yulyashka [42]

Answer: Straight piecework plan

Step-by-step explanation:

The Straight piecework plan is a type of incentive system in which the rate per unit output is constant and fixed at a specific value. And the total earnings of a worker is calculated by multiplying the value of its total output by the rate per unit output.

In the case above the rate per unit invoice processed is fixed, so employees are paid based on the number of invoice processed per hour which makes it a Straight piecework plan system.

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1 year ago
The linear plot shows how water pressure changes as a diver's depth increases. What is the best
vazorg [7]

Answer:

Step-by-step explanation:

It would be A, the first one.

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2 years ago
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