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tester [92]
3 years ago
15

Fitness Classes cost £6 per person. The table shows the number of people who go to the classes on Thursday, Friday and Saturday.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
7 0

Answer:

£216

Step-by-step explanation:

  • Cost = £6 per person
  • Teacher earns = 90% of total

<u>Total number of people:</u>

  • 13 + 11 + 16 = £40

<u>Total paymen</u>t:

  • 40*6= £240

<u>Teacher earns in total per given week:</u>

  • 240*90/100 = £216

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The sum and the difference between the LCM and GCF of two numbers is 252 and 180, respectively. Find the numbers if one of them
Lubov Fominskaja [6]

Answer:

36 and 216

Step-by-step explanation:

Let  x and y be LCM and GCF respectively.

We are told that the sum and the difference between the LCM and GCF of two numbers is 252 and 180.

Upon using our information we will get a system of equations.

x+y=252..(1)

x-y=180..(2)

We will use substitution to solve this system of equations.

x=180+y

180+y+y=252

2y=252-180

2y=72

y=\frac{72}{2} =36  

Now let us find x using equation 1,

x=252-36=216

Therefore, LCM is 216 and GCF is 36.

Let a and b our numbers. Now let us find numbers using this information.

We are given that one of them is more than twice the other.

a>2b

There can be several such numbers. 36 and 216 can also be numbers. Let us check these numbers.

LCM of 36 and 216 is 216 and GCF is 36 and it satisfies our condition that a>2b  because 216 is more than twice 36.

Therefore, our numbers will be 36 and 216.  




8 0
4 years ago
A bakery sells 5 bagels for 7.50.There is a proportion relationship between the cost and the number of bagels,Which equation rep
timama [110]

Answer:

$1.5b

Step-by-step explanation:

If a bakery sells 5 bagels for $7.50, we are to find the equation that will represent the cost of b bagels. This can be gotten using the equality postulate as shown;

5 bagels = $7.50

b bagel = $c

Cross multiply

5*c = 7.50b

Divide both sides by 5

5c/5 = 7.50b/5

c = 1.5b

Hence  the cost of b bagel c is $1.5b

5 0
3 years ago
Read 2 more answers
When a large marketing company contracts with a payroll service company to process employee checks then they are
DaniilM [7]

Outsourcing is well known as just an exercise which takes occurs when a company, therefore the answer is "Option b" that is "Outsourcing", and the further discussion can be defined as follows:

  • It gives another business a task to perform or to undertake for them rather than themselves.
  • It is an agreement between the two companies, usually for a specified period.
  • It is made to be better efficient and to minimize the costs.
  • In the large marketing company agreements for worker cheques with such a payroll service provider, they outsource people.

Therefore, the final answer is "Option b".

Learn more:

brainly.com/question/2614785

5 0
3 years ago
Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 15 ca
xenn [34]

Answer:

a) 0.4352

b) 0.5165

c) 0.0813

Step-by-step explanation:

In this problem we have 3 defective parts scattered among 15 parts.

We are going to select 3 out of 15 without replacement, so the situation can be modeled with the Hypergeometric distribution.

If X is the random variable that measures the number of defective parts in a sample of 3, the probability of selecting exactly k defective parts out of 15 would be given by

P(X=k)=\displaystyle\frac{\binom{3}{k}\binom{15-3}{3-k}}{\binom{15}{3}}

a) what is the probability that the inspector finds exactly one nonconforming part?

Replacing k with 1 in our previous formula, we get

P(X=1)=\displaystyle\frac{\binom{3}{1}\binom{15-3}{3-1}}{\binom{15}{3}}=\displaystyle\frac{3*66}{455}=0.4352

b) what is the probability that the inspector finds at least one nonconforming part?

This would be P(X=1)+P(X=2)+P(X=3) = 1 - P(X=0).  

P(X=0)=\displaystyle\frac{\binom{3}{0}\binom{15-3}{3-0}}{\binom{15}{3}}=\displaystyle\frac{1*220}{455}=0.4835

so 1 - P(X=0) = 1 - 0.4835 = 0.5165

c) what is the probability that the inspector finds at least two nonconforming part?

 

P(X=2) + P(X=3) = 1 - (P(X=0) + P(X=1)) = 1 - (0.4835 + 0.4352) =

= 1 - 0.9187 = 0.0813

6 0
3 years ago
chest volume is 8100 cubic inches the length is 30 inches and the width is 15 inches how tall will the chest be
romanna [79]

The volume of a cuboid is given in terms of length, width, and height by ...

... V = LWH

Filling in the given numbers, we can solve for the height.

... 8100 in³ = (30 in)(15 in)H

Dividing by the coefficient of H, we have ...

... (8100 in³)/(450 in²) = H = 18 in

The chest will be 18 inches tall.

4 0
3 years ago
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