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soldier1979 [14.2K]
3 years ago
5

A shop has a sale that offers 20% off all prices.On the final day reduce all the sale prices by 25%.Linz buys a radio on the fin

al day.Work out the overall percentage reduction on the price of the radio
Mathematics
1 answer:
Mrac [35]3 years ago
5 0

Answer:

40%

Step-by-step explanation:

Original price = x

Sale = 20% off

20% / 100 = 0.2 to convert from a percent to a decimal

Sale = x - 20% of x = x - 0.2x = 0.8x

Sale price = y = 0.8x

Reduction of sale prices = 25% = 0.25

Reduction = y - 25% of y = y - 0.25y = 0.75y

End price in terms of original price (x):

0.75y = 0.75(0.8)x

          = 0.6x

End price = 0.6 or 60% of original price, coming out to a 100-60 = 40% overall percentage reduction

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A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of th
Naya [18.7K]

Answer:

13.4feet

Step-by-step explanation:

The set up forms a right triangle.

Given

Height of the staircase h = 12 feet

Base of the stairs b = 6feet

Required

Length of the ramp l

Using the pythagoras theorem

l² = h² + b²

l² = 12²+6²

l² = 144 + 36

l² = 180

l = √180

l = 13.42 feet

Hence the length of the ramp to the nearest tenth is 13.4feet

6 0
3 years ago
Find the prime factorization of 36
ivolga24 [154]

Prime factorization means finding the prime numbers that you can multiply to make a certain number.

So, he prime factorization of 36 would be 2 x 2 x 3 x 3   or   2, 2, 3, and 3.

Just to make sure:    2 x 2 = 4    4 x 3 = 12     12 x 3 = 36

There's your answer!

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3 years ago
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bonufazy [111]
7 is a factor of 14 and is not a multiple of 2.
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3 years ago
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goblinko [34]
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Please help, I am not able to find the answer
Anton [14]

Answer:

Assuming you are asked for the equation of the graph, the answer would be y=|x+2|-1.

Step-by-step explanation:

The parent function for the "V-shape" is y=|x|.  This particular function is translated to the left two units and down one.  This is shown by adding two to x within the absolute value and subtracting one from the absolute value of x+2, leaving you with y=|x+2|-1.  If you plug this equation into desmos online graphing calculator, you will see that the graph is identical to the one given.

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