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omeli [17]
2 years ago
7

Knife is 3 times cost of spoon 9 spoons and 12 knifes is £82.80 what is 1 knife

Mathematics
1 answer:
xenn [34]2 years ago
3 0

Answer:

The cost of spoon is £1.84 and therefore the cost of one knife is £5.52.

Given :

  • A knife is 3 times the cost of the spoon.
  • 9 spoons and 12 knives costs £82.80.

Solution :

  • This question is solve by creating a linear equation and linear equations are nothing but yet another subset of "equations".
  • Linear calculations that requires more than one variable can be done with the help of linear equations.
  • The standard form of a linear equation in one variable is ax + b = 0.

Now let x be the cost of spoon. Than the cost knife is 3x. It is given that 9 spoons and 12 knives costs £82.80.

<h3>9x + 12 x (3x) = 82.809x + 36x = 82.8045x = 82.80x = 1.84</h3>

Therefore the cost of 1 knife = 5.52

Step-by-step explanation:  1.84 x 3 = 5.52

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Sedaia [141]

Answer:

The standard deviation reduces when sample size (n) increases

Step-by-step explanation:

From the above information given, we have that mean = 75.5

Standard deviation = 3.5

But Standard deviation = √summation (x-u)/n

This simply implies that when sample (n) is increased there would be a reduction in the standard deviate.

7 0
3 years ago
For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hi
larisa [96]

Answer: a) (0.99)^4

Step-by-step explanation:

Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.

Each of the four systems detects theft with a probability of .99 independently of the others .

Probability for independent events (E_1 , E_2 , E_3 , ....., E_n) occurs together =  P(E_1)\times P(E_2)\times P(E_3)\ .....\times P(E_n).

Then, the probability that when a theft occurs, all four systems will detect it

= (0.99) x (0.99) x (0.99) x (0.99)

= (0.99)^4

Hence, the probability that when a theft occurs, all four systems will detect it is (0.99)^4 .

Hence, the correct answer is a) (0.99)^4 .

5 0
3 years ago
Question is in the picture:)
Bingel [31]

Answer: It would probably be 30

Step-by-step explanation:

The ratio is 10:0 , 20:10 , 30:20 , 40:30 , 50:40, 60:50 , etc…

so basically you just need to know the ratios!

Hope I could help :)

6 0
2 years ago
Read 2 more answers
Helpp!! what is the domain and range for the graph
ivolga24 [154]
I think the domain is -1 and the range is 2. You may want to double check though.
5 0
3 years ago
So when you are adding fractions how do you know when you need to simplify the numbers and how do you simplify?
rosijanka [135]

Let's look at an example.

We'll add the fractions 1/6 and 1/8

Before we can add, the denominators must be the same.

To get the denominators to be the same, we can...

  • multiply top and bottom of 1/6 by 8 to get 8/48
  • multiply top and bottom of 1/8 by 6 to get 6/48

At this point, both fractions involve the denominator 48. We can add the fractions like so

8/48  + 6/48 = (8+6)/48 = 14/48

Add the numerators while keeping the denominator the same the entire time.

The last step is to reduce if possible. In this case, we can reduce. This is because 14 and 48 have the factor 2 in common. Divide each part by 2.

  • 14/2 = 7
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The fraction 14/48 reduces to 7/24

Overall, 1/6 + 1/8 = 7/24

6 0
2 years ago
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