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svp [43]
3 years ago
7

A coat costs £56 in the sale after a 20% discount. What was the original price?

Mathematics
2 answers:
prisoha [69]3 years ago
8 0

Answer:

70

Step-by-step explanation:

56/4=14

14=20%

56+14=70 was original price

and you can check work by multiplying 70 by .8 which gets 56

Arturiano [62]3 years ago
5 0

Answer:

£70

Step-by-step explanation:

y×0.8=56

56/0.8= 70

70×0.8=56

you're just reversing the discount :)

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5^x + 5^x+1= 150<br> Find x<br> Help me pls i need soon<br> Tksss
raketka [301]

Answer:

x=2

Step-by-step explanation:

So we have the equation:

5^x+5^{x+1}=150

First, separate the second term:

5^x+(5\cdot5^x)=150

Let u equal 5ˣ. So:

u+5u=150

Combine like terms:

6u=150

Divide both sides by 6:

u=25

Substitute back u:

5^x=25

Take the base 5 logarithm of both sides:

\log_5(5^x)=\log_5(25)

The left cancels:

x=\log_5(25)

Evaluate the right:

x=2

So, our answer is 2.

And we're done!

5 0
3 years ago
What strategy for finding area and perimeter of a 2 dimensional shape?
Mice21 [21]
Area is supposed to be multiplied by 2.
8 0
3 years ago
Read 2 more answers
A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

5c+7s+12a=2808

We also know that the children attendance doubles the adult attendance:

c=2a

The third equation is the seating capacity, which we assume is full:

c+s+a=387

We start by replacing variables in two of the equations:

c=2a\\\\s=387-c-a=387-2a-a=387-3a

Then, we solve the remaining equation for a:

5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99

Then, we solve for the other two equations:

c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90

The attendance was 198 children, 90 students and 99 adults.

8 0
4 years ago
Find the perimeter of the figure to the nearest hundredth.
babunello [35]

Answer:

50.28 inches

Step-by-step explanation:

From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2

Radius= 9in

C= 2πr

C=2*3.142*9

C=2*3.142*9

C= 56.556 inches

Hence the length of the arc is

=56.556/2

=28.278 inches

The perimeter of the shape

=28.278+5+12+5

=50.28 inches

8 0
3 years ago
There are 800 students in the School of Business Administration. There are four majors in the School: Accounting, Finance, Manag
dezoksy [38]

Answer:

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

Step-by-step explanation:

For this case we can create the following table calculating the percent frequency as:

\% = \frac{X_i}{n}

Where X_i represent the number of students for the i category and n the total sample size.

Major                    X_i             %

_________________________________________

Accounting              240              (240/800)*100=30%

Finance                    160               (160/800)*100=20%

Management           320              (320/800)*100=40%

Marketing                80                (80/800)*100= 10%

_________________________________________

Total                         800                     100%

The pie chart is on the figure attached.  We use excel to create it.

5 0
3 years ago
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