The price of a watch was increased by 20% to £162.
What was the price before the increase?​

Answers

Answer 1
The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135
Answer 2

Answer:

£129.60

Step-by-step explanation:

10% =  £16.2

20% = £32.4

£162 - £32.40 = £129.60


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Step-by-step explanation:

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The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?

Answers

Answer:

A) 0.10565

B) 0.33846

C)

Step-by-step explanation:

The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.

Note that, all units must be in minutes

We solve this question using z score formula

= z = (x-μ)/σ

where

x is the raw score

μ is the population mean = 2 hours

Converting to minutes

1 hour = 60 minutes

2 hour = x

Cross Multiply

x = 2 × 60 minutes

x = 120 minutes

Mean = 120 minutes

σ is the population standard deviation = 12 minutes

Over many past trips, what proportion (area) of times has the ferry reaches the island in

A) less than 1 hour, 45 minutes?

Converting 1 hour 45 minutes to minutes

60 minutes = 1 hour

Hence:

60 + 45 minutes = 105 minutes

For x < 105 minutes

= 105 - 120/12

= -1.25

Probability value from Z-Table:

P(x<105) = 0.10565

B) more than 2 hours, 5 minutes?

Converting 2 hours 5 minutes to minutes

Hence:

1 hour = 60 minutes

2 hour = x

Cross Multiply

x = 2 × 60 minutes

x = 120 minutes

Hence:

120 + 5 minutes = 125 minutes

For x < 125 minutes

z = 125 - 120/12

z = 0.41667

Probability value from Z-Table:

P(x<125) = 0.66154

P(x>125) = 1 - P(x<125) = 0.33846

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x = 2 × 60 minutes

x = 120 minutes

Hence:

120 + 20 minutes = 140 minutes

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= 1.66667

Probability value from Z-Table:

P(x = 140) = 0.95221

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WILL MARK BRAINLIEST

Answers

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

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????????????????????

Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

A figure is composed of four squares of the same size and four triangles of the same size. Each square has a side length of 5.9 cm, as shown 5.9 cm 5.9 cm Which of these is closest to the area, in square centimeters, of the figure? a. 71 b. 94 С. 209 d. 278 ​

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9514 1404 393

Answer:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

Members of the drama club plan to present its annual spring musical. They have $1,262.50 left from fundraising, but they estimate that the entire production will cost $1,600.00.

Answers

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Step-by-step explanation:

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Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers

Answers

Answer:

nick's number = 91

eddie's number = 39

Step-by-step explanation:

n = nick's number

[tex]\frac{3}{7}[/tex]n = eddie's number

[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52

[tex]\frac{4}{7}[/tex]n = 52

cross-multiply:  4n = 52(7)

                         4n = 364

                          n = 364/4 = 91

eddie's number:  [tex]\frac{3}{7}[/tex] · 91 =  273/7 = 39

Nick's number is 91

Eddie's number is 39

What is expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given,

Eddie's number is 3/7 of Nick's number

Let Nick's number be x

Then Eddie's number = 3x/7

Difference of the numbers is 52

x - 3x/7 = 52

(7x - 3x)/7 = 52

4x/7 = 52

4x = 52×7

x = 364/4

x = 91

Another number = 3x/7

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                            = 3 × 13

                            = 39

Hence, 91 is Nick's number and 39 is Eddie's number.

Learn more about expression here:

https://brainly.com/question/14083225

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

a_n = 39(1.06)^(n - 1)

Step-by-step explanation:

We are told that a_n is the number of raccoons in a given n number of years.

After 6 years, there are 52 raccoons.

Also after 8 years there are 58 raccoons.

Using formula for geometric sequence, we have;

a_n = ar^(n - 1)

After 6 years, there are 52 raccoons

Thus;

a_6 = 52 = ar^(6 - 1)

ar^(5) = 52 - - - (eq 1)

Also after 8 years there are 58 raccoons. Thus;

a_8 = 58 = ar^(8 - 1)

ar^(7) = 58 - - - (eq 2)

Divide eq 1 by eq 2 to get;

(r^(7))/(r^(5)) = 58/52

r² = 58/52

r = √(58/52)

r ≈ 1.06

Put 1.06 for r in eq 1 to get;

a(1.06)^(5) = 52

1.3382a = 52

a = 52/1.3382

a ≈ 39

Thus,the explicit rule is;

a_n = 39(1.06)^(n - 1)

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Answers

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