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Scilla [17]
2 years ago
7

There are three dials on a combination lock. Each dial can be set to one of the numbers 1, 2, 3, 4, 5 The three digit number 553

is one way the dials can be set, as shown in the diagram. 45 451 2 3 4 (a) Work out the number of different three digit numbers that can be set for the combination lock.​
Mathematics
1 answer:
Anika [276]2 years ago
8 0

The number of different three-digit numbers that can be set for the combination lock is 125

<h3>How to determine the number of different locks?</h3>

The digits are given as

Digit = 1, 2, 3, 4, 5

Each digit can be repeated on the number lock.

So, the individual digit of the lock can be any of the 5 digits.

So, we have:

Locks = 5 * 5 * 5

Evaluate

Locks = 125

Hence, the number of different three-digit numbers that can be set for the combination lock is 125

Read more about combination at:

brainly.com/question/11732255

#SPJ1

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In 2008 Alice bought a house. In 2014 she sold it for a 20% profit. In 2019 it was then sold at a 5% loss for £182,400 Work out
Wittaler [7]

Answer:

£160,000

Step-by-step explanation:

Alice bought the house in 2008 for £x.

In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)

In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)

In 2019, it sold for £182,400.

0.95(1.2x) = 182,400

1.14x = 182,400

x = 182,400/1.14

x = 160,000

Answer: £160,000

* Explanation of 1.2 and 0.95.

A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.

Example of percent increase:

A book used to cost £10. The price went up by 12%. What is the new price?

100% + 12% = 112% = 1.12

1.12 * £10 = £11.20

Example of percent decrease:

A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?

100% - 35% = 65% = 0.65

0.65 * £60 = £39

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Which equation is equivalent to 2/3 x -5 / 6 equals -5 / 12 x + 1 / 4​
cluponka [151]

Answer:

13x=13

Step-by-step explanation:

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Elena's total cost (C) is 5(9.98 + 24.99 + x)

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Therefore Elena's total cost (C) is 5(9.98 + 24.99 + x)

Find out more at: brainly.com/question/21105092

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