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soldi70 [24.7K]
2 years ago
10

An electronics store sells a laptop for p. During the sales period, the shopkeeper offers a 30% discount on the initial price. A

few days after the end of the sales, the shopkeeper starts the «Out of All» campaign to free the warehouse from inventories and applies an additional 20% discount. to. Express the final price of the computer as a fraction of p and verify that it is greater than 50% of the initial price. b. Knowing that the final price is € 448, it determines the initial price p and the amount of the first discount applied.​
Mathematics
1 answer:
drek231 [11]2 years ago
7 0

Answer:

  • See below

Step-by-step explanation:

a)

Initial price is p.

<u>30% discounted price:</u>

  • p - 30% =
  • p*(1 - 0.3) =
  • 0.7p

<u>Price after 20% discount:</u>

  • 0.7p - 20% =
  • 0.7p*(1 - 0.2) =
  • 0.7p*0.8 =
  • 0.56p

This is greater than the 50% which is 0.5p

b)

<u>If the final price is € 448, the initial price is:</u>

  • 0.56p = €448
  • p = €448/0.56
  • p = €800

<u>The amount of first discount is 30% of € 800:</u>

  • 0.3*€800 =
  • €240
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I’m confuse plz help
Ad libitum [116K]

Answer:

As in an equilateral triangle all sides are equal so 9+3x = 5x-5

9+3x = 5x-5

9+5 = 5x-3x

14 = 2x

14/2 = x

7= x

So,As we know that x is 15 so we can substitute the values 9+3x or 5x-5

9+3x

=9+3*7

=30

So, one side of the triangle = 30

Perimeter of an equilateral triangle = 3*side

=3*30 = 90

So, perimeter of the equilateral triangle = 90

6 0
3 years ago
To have batting aberages over .500, how may hits in 45 times at bat would raul and karen need.
Oduvanchick [21]

i believe it's 22.5 out of 45 to get exactly .500

4 0
3 years ago
the members of the band are selling raffle tickets.if their goal is to raise at least $950,the number of tickets they must sell
Diano4ka-milaya [45]

140 is the solution of the inequality

Step-by-step explanation:

The inequalities are used just like equations.

Given

Total amount to be raised = $950

Price of one ticket = $2.50

The inequality that represents the situation is:

2.50x≥950

Dividing both sides by 2.50

\frac{2.50x}{2.50} \geq \frac{950}{2.50}\\x\geq 140

140 is the solution of the inequality

Keywords: Inequality, cost

Learn more about inequalities at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

3 0
3 years ago
If 18√8 - 8 √18 = √n, what is n?
Yuliya22 [10]

Answer:

n=288

Step-by-step explanation:

Rewrite the equation as  

√

n

=

18

√

8

−

8

√

18

.

√

n

=

18

√

8

−

8

√

18

To remove the radical on the left side of the equation, square both sides of the equation.

√n

2

=

(

18

√

8

−

8

√

18

)

2

Simplify each side of the equation.  

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

n  as  n

1

2

.

(

n

1

2

)

2

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

n

1

2

)

2

.  

Multiply the exponents in  

(

n

1

2

)

2

.  

Apply the power rule and multiply exponents,  

(

a

m)n

=

a

m

n

.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Cancel the common factor of  2  

Cancel the common factor.

n

1

2

⋅

2

=

(

18

√

8

−

8

√

18

)

2

Rewrite the expression.

n

1

=

(

18

√

8

−

8

√

18

)

2

Simplify.

n

=

(

18

√

8

−

8

√

18

)

2

Simplify  

(

18

√

8

−

8

√

18

)

2

Simplify each term.

Rewrite  

8  as  2

2

⋅

2

.  

Factor  

4  out of  8  

n

=

(

18

√

4

(

2

)

−

8

√

18

)

2

Rewrite  

4  as  2

2  

n

=

(

18√

2

2

2

−

8

√

18

)

2

Pull terms out from under the radical.

n

=

(

18

(

2

√

2

)

−

8

√

18

)

2

Multiply  

2  by  18  

n

=

(

36

√

2

−

8

√

18

)

2

Rewrite  

18

as  

3

2

⋅

2

.

Factor  

9

out of  

18

.

n

=

(

36

√

2

−

8

√

9

(

2

)

)

2

Rewrite  

9

as  

3

2

.

n

=

(

36

√

2

−

8

√

3

2

⋅

2

)

2

Pull terms out from under the radical.

n

=

(

36

√

2

−

8

(

3

√

2

)

)

2

Multiply  

3

by  

−

8

.

n

=

(

36

√

2

−

24

√

2

)

2

Simplify terms.

Subtract  

24

√

2

from  

36

√

2

.

n

=

(

12

√

2

)

2

Simplify the expression.

Apply the product rule to  

12

√

2

.

n

=

12

2

√

2

2

Raise  

12

to the power of  

2

.

n

=

144

√

2

2

Rewrite  

√

2

2

as  

2

.

Use  

n

√

a

x

=

a

x

n

to rewrite  

√

2

as  

2

1

2

.

n

=

144

(

2

1

2

)

2

Apply the power rule and multiply exponents,  

(

a

m

)

n

=

a

m

n

.

n

=

144

⋅

2

1

2

⋅

2

Combine  

1

2

and  

2

.

n

=

144

⋅

2

2

2

Cancel the common factor of  

2

.

Cancel the common factor.

n

=

144

⋅

2

2

2

Rewrite the expression.

n

=

144

⋅

2

1

Evaluate the exponent.

n

=

144

⋅

2

Multiply  

144

by  

2

.

n

=

288

5 0
3 years ago
What is the mode of the data set?
saw5 [17]

Answer: 92 which is choice D

Look at the right side of values for the digit that comes up the most. In this case, it would be '2' in the second row. It shows up 3 times. Those leafs pair up with the stem of 9 to form the full value 92. So we have 92 show up three times which is the most frequent value.

The data set would expand out to

85, 88

92, 92, 92, 98

105, 106, 106, 109

113

126, 127

5 0
3 years ago
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