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3 years ago

Lance has 3 time as many pencils as Nick, and they have 84 pencils together. How many pencils does each of them have?

Mathematics

1 answer:

Rufina [12.5K]3 years ago

8 0

Answer:

21 pencils for Nick and 63 pencils for Lance

Step-by-step explanation:

Lance is said to have 3 times the pencils Nick has.
Let's keep the number of pencils Nick has as x.
If Nick has x pencils that means Lance has 3x pencils.
The total number of pencils present is 84.

Now let's make an equation out of the information above:

3x + x = 84

Now solve for x.

3x + x = 84

4x = 84

x = 84/4

x = 21

So Nick has 21 pencils

Now for Lance:

3 * (21) = 63

So Lance has 63 pencils

63 + 21 = 84 pencils

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The Ferris Wheel has a radius of 20 feet, and its center is 40 feet above the ground.

almond37 [142]

Answer:

The lowest point = 20 ft
The highest point = 60 ft
The diameter of the wheel = 40 ft

Step-by-step explanation:

<h3>Given</h3>

The radius = 20 ft
Distance from the ground to the center = 40 ft

The lowest point
The highest point
The diameter of the wheel

<h3>Solution</h3>

The diameter = 2*radius = 2*20 ft = 40 ft
The lowest point = distance to the center - radius = 40 ft - 20 ft = 20 ft
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3 years ago

. Two friends pooled the tickets they won from playing video games to get a prize that requires 500 tickets. If one friend won 8

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Answer:

Friend 1 (with 80 more tickets) gets 290

Friend 2 gets 210

Step-by-step explanation:

500-80 = 420 tickets |

^in order to figure out how many total tickets they got without the 80 extra

420/2 = 210 |

^divide by 2 to figure out how many tickets each friend had

210+80 |

^add 80 to figure out how many tickets friend one gets

7 0

3 years ago

Determine whether the following is an example of a sampling error or a non sampling error. A psychiatrist surveyed 8000 people t

Ilia_Sergeevich [38]

Answer:

The correct answer is - Non sampling error

Step-by-step explanation:

Sampling errors arises when a sample does not represent the whole population.

It is difference between the real values of the population and the values derived by using samples from the population.

A non-sampling error refers to an error that occurs during data collection, causing the data to differ from the true values.

Non sampling error are of two types , response error and non response error.

In the given question , the error is a response error.

So , it is an example of Non-Sampling error.

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3 years ago

What is the multiplicative rate of change of the function?

AleksandrR [38]

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Step-by-step explanation:

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3 years ago

Eight rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other ro

Brums [2.3K]

Answer:

9.11*10^-4 %

Step-by-step explanation:

To find the probability, you simply need to find the possible outcomes that allows no rooks to be in danger, and the possible amount of ways to place the rooks.

For the first outcome, you start by putting 1 rook in the first columns, you have 8 possible rows to do this. The next rook in the next column will only have 7 possible rows, as you have to exclude the one where the previous rook is located. The next rook, 6 possibilities, the next 5, and so on. So we conclude that the total amount of ways so that none of the rooks can capture any of the other rooks is 8*7*6*5*4*3*2*1 = 8! = 40320

In order to find the total amount of ways to place the rooks, you can just use a combinatoric:

$\left[\begin{array}{ccc}64\\8\end{array}\right]= \frac{64!}{8!(64-8)!} = 4.43*10^9$

Then:

P = $\frac{40320}{4.43*10^9}*100\%=9.11*10^{-4}\%$

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4 years ago