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Vika [28.1K]
3 years ago
5

£750 is divided between Bridget, Caroline & Sarah so that Bridget gets twice as much as Caroline, and Caroline gets three ti

mes as much as Sarah. How much does Caroline get?
Mathematics
1 answer:
Sladkaya [172]3 years ago
4 0

Answer: £225

Step-by-step explanation:

Let Sarah's amount be represented by x.

Since Caroline gets three times as much as Sarah, Caroline will get: 3x

Bridget gets twice as much as Caroline, therefore Bridget will get: 2 × 3x = 6x

Sarah = x

Caroline = 3x

Bridget = 6x

Total = x + 3x + 6x = 10x

Caroline's faction is 3/10. We then multiply the fraction by £750. This will be:

= 3/10 × £750

= 0.3 × £750

= £225

Caroline will get £225

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If y=kx, where k is a constant, and y=24 when x=6, what is the value of y when x=5?A. 6B. 15C. 20D. 23
Marizza181 [45]

First, we will find the value of k

We can do this by sybstituting y=24, x=6 in;

y=kx and then solve for k

24= k(6)

divide both-side of the equation by 6

24/6 = k

4 = k

k=4

Then when x = 5, we will substitute x=5 and k=4 in; y=kx and then solve for y

y= (4)(5)

y = 20

7 0
1 year ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B28%7D%20%2B%20%5Cfrac%7B1%7D%7B70%7D%20%2B%20%5Cfrac%7B1%7D%7B130%7D%20%2B%20
malfutka [58]

Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

\frac{9100}{138320}

<h3>How do we add fractions?</h3>

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}

More can be learned about the addition of fractions at brainly.com/question/78672

#SPJ1

5 0
1 year ago
The word "less than" represent what operation?
bixtya [17]

Answer:

  • The term 'less than' is used to indicate the relationship between two values.
  • The term 'less than' symbolically represented as '<'.

Step-by-step explanation:

  • The term 'less than' is used to indicate the relationship between two values.

It expresses that one value will be lesser than the other.

The term 'less than' symbolically represented as '<'.

We can implement certain operations like comparing values, heights, and numbers.

For example, there are 3 pencils in one bag A, and 8 pencils in bag B.

When we compare the two, we can easily observe that bag A has fewer pencils than bag B.

Thus,

Pencils in Bag A       <         Pencils in Bag A

           3                     <                    8

4 0
3 years ago
The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m
photoshop1234 [79]

Answer: 0.1353

Step-by-step explanation:

Given : The mean of failures =  0.025 per hour.

Then  for 8 hours , the mean of failures = \lambda=8\times0.25=2 per eight hours.

Let X be the number of failures.

The formula to calculate the Poisson distribution is given by :_

P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

Now, the probability that the instrument does not fail in an 8-hour shift :-

P(X=0)=\dfrac{e^{-2}2^0}{0!}=0.1353352\approx0.1353

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353

7 0
3 years ago
-5.6+(-9.72) what does this equal?
nevsk [136]

So I'm not totally sure but I got -15.32

So sorry if it's wrong!!

4 0
3 years ago
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