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3 years ago

How many different orders can three students be selected from 10?

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

5 0

That would be the number of permutations of 3 from 10.

= 10P3 = 10! / 7! = 10*9*8 = 720

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A boat has a speed of 15 mph in still water. It travels downstream from Greentown to Glenavon in g hours. It then goes back upst

Lerok [7]

Step-by-step explanation:

We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:

B = speed of the boat in still water

C = speed of the current

Since we have two variables, we will need to find a system of two equations to solve.

How do we find the two equations we need?

Rate problems are based on the relationship Distance = (Rate)(Time).

Fill in the chart with your data (chart attached)

The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! Distance=(Rate)(Time) Now solve using the systems of equations!

6 0

3 years ago

Two numbers are missing from this table. How can the missing numbers be

KiRa [710]

Answer:

multiply input number by 4

Step-by-step explanation:

In the figure attached, the problem is shown.

We can see the following values:

input = 1, output = 4*1 = 4

input = 4, output = 4*4 = 16

input = 7, output = 4*7 = 28

Then, the missing numbers can be found multiply input number by 4

3 0

3 years ago

Tim Worker wants to purchase an automobile warranty costing $856. If he chooses to make 12 equal payments, then in dollars and c

Svetlanka [38]

Answer:

$71.33

Step-by-step explanation:

An automobile warranty costing = $856

It is required to make 12 equal payments

So, we need to divide $856 over 12

So, the average payment = 856/12 = $71.33

3 0

3 years ago

Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by t

Neko [114]

Answer:

$n10^x = 0.1515x$

Step-by-step explanation:

Required

Translate the statements to algebraic expression

Represent the power with x;

So, the left hand side is

Power of 10: $10^x$

Times n: $10^x * n$

The right hand side is:

0.1515 * power of 10: $0.1515 * x$

Equate the right hand side to the left:

$10^x * n = 0.1515 * x$

$n10^x = 0.1515x$

Hence;

The required expression is $n10^x = 0.1515x$

5 0

3 years ago

Christopher works at the power plant for the southwest part of his home state. For peak operational performance, his department

Licemer1 [7]

Answer:

B) To maintain peak performance for every 50 generators, there are 10 inspectors.

Step-by-step explanation:

For peak operational:

3 electricians for each generator. ⇒ 1 Generator : 3 Electricians

4 inspectors for every 60 electricians. ⇒ 60 Electricians : 4 Inspectors

Now, the number of generators the state has now = 50

Let us assume the number of inspectors required by the power plant = m

Now, from the given ratios:

For, 3 electrician there is 1 generator

⇒ For, 3 x 20 Electrician there is 1 x 20 Generators.

or, for 60 Electrician there are 20 Generators. (1)

Also, for 60 Electrician there are 4 inspectors. (2)

⇒From (1) and (2), we get:

For every 20 generators, there are 4 inspectors.

And, from what we have assumed For every 50 generators, there are m inspectors.

So, by the RATIO OF PROPORTION:

$\frac{20}{4} = \frac{50}{m}\\ \implies m = 50 \times\frac{4}{20} = 10$

or, m = 10

Hence, to maintain peak performance for every 50 generators, there are 10 inspectors.

3 0

3 years ago