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CaHeK987 [17]
3 years ago
5

£620 is divided between Malachy, Paul & Brian so that Malachy gets twice as much as Paul, and Paul gets three times as much

as Brian. How much does Paul get?
Mathematics
1 answer:
geniusboy [140]3 years ago
3 0

Answer: Paul gets £186

Step-by-step explanation:

Paul has 1/2 as much as Malachy, and Brian has 1/3 as much Paul, therefore Brian has 1/6 as much as Malachy.

1/2 * 1/3 = 1/6

So Malachy’s amount equals 1 in this equation, Paul’s amount equals 1/2 in this equation, and Brian’s amount equals 1/6 in this equation.

1 + 1/2 + 1/6 = 1 + 3/6 + 1/6 = 1 4/6

Now, divide 620 by 1 4/6 to find Malachy’s amount.

620/1 4/6 = 372

Now, divde 372 by 2 to get Paul’s amount.

372/2 = 186

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F(x)=-5x+2 and g(x)=1/2x+4 find f(g(12))
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Answer:

- 48

Step-by-step explanation:

If you want to learn more about this concept, it's called composition of functions.

First, you plug in g(x) as if it were x into f(x).

f(g(x))= -5 (1/2x + 4) + 2

= -5/2x - 20 + 2

= -5/2x - 18

Then, plug in the value given, as x.

= -5/2 (12) - 18

= -30 - 18

= - 48

I hope this helped!

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3 years ago
A builder is building a fence with 6-inch-wide wooden boards, arranged side-by-side with no gaps. How many boards are needed to
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25 wooden boards

Step-by-step explanation:

Given that:

Width of wooden board = 6 inches

Number of boards required to build a fence of 150 inches long if there are no gaps :

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= 150 inches / 6 inches

= 25 wooden boards

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3 years ago
Can someone help me, please. :(
Burka [1]

Answer:

The answer is C.

Step-by-step explanation:

It cannot be between 3 and 4 because 2/3 is less than 1. You cannot end up with a larger number than 3 in this case. Similarly, it cannot be less than 2/3 because you are multiplying it by 3, which is larger than your first number.

Therefore, it has to be between 3 and 2/3 because you are taking two thirds of 3, which is 2.

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Read 2 more answers
Exits along interstate highways were formerly numbered successively from the western or southern edge of a state. However, the d
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Answer:

Following are the answer to this question:

In question, a) ordinal.

In question, b) ratio .

In question, c) true.

Step-by-step explanation:

For its "ordained" existence, regular data is used to conduct surveys and questionnaires. To identify respondents into different categories, a quantitative methodology is employed to sufficient excess.

Its ratio data is defined as a statistical method with the same features as continuous variables, that recognize the proportion of each data to an absolute null as its source. In many other words, the meaning of the line graph may not be positive.

Its newest program gives the gap between exits data.

5 0
3 years ago
A group consists of 6 men and 5 women. Five people are selected to attend a conference. In how many ways can 5 people be selecte
cluponka [151]

Answer:

462

6

1.2%

Step-by-step explanation:

Since the questions are combinations, we must apply the combination formula, which is as follows:

n C r = (n!) / (r! (n-r)!)

Because there are 6 men and 5 women, there are a total of 11 people.

Thus:

n = 11

In the first question in how many ways can 5 people be selected from this group of 11, r = 5.

Replacing in the formula:

11 C 5 = (11!) / (5! * (11-5)!)

11 C 5 = (11!) / (5! * 6!)

11 C 5 = 462

In the second question, in how many ways can 5 men be selected from the 6 men, here n = 6 and r = 5, replacing we are left with:

6 C 5 = (6!) / (5! * (6-5)!)

6 C 5 = (6!) / (5! * 1!)

6 C 5 = 6

In the last question of what is the probability that the selected group is all men, we have that it is the combination of the two previous questions. Since the total would be part A it would be the total of the combinations of choosing 5 of 11 people and part B of the 6 men that there are the combinations of choosing 5.

Divide the two values ​​from parts A and B to get ...

(result from part B) / (result from part A) = (# of ways to pick 5 men) / (# of ways to pick 5 people)

(result from part B) / (result from part A) = 6/462

(result from part B) / (result from part A) = 0.012

In other words, the probability is 1.2%

7 0
3 years ago
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