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enyata [817]
3 years ago
8

jacob is going shopping he finds a great deal on a laptop foe 40% off the original price if the sale price is $525 what is the o

riginal price of the laptop
Mathematics
2 answers:
aleksley [76]3 years ago
6 0

Answer:

<u>The original price of the laptop was US$ 875</u>

Step-by-step explanation:

1. Let's review all the information given for solving this question:

Sale price of the laptop = US$ 525

Discount from the original price = 40%

2. Let's find the original price of the laptop

Original price of the laptop = x

Sale price of the laptop = US$ 525

Sale price of the laptop = x - 40%x

525 = x - 0.4x

525 = x - 4x/10 (0.4 = 4/10)

5,250 = 10x -4x (Multiplying by 10 at both sides)

5,250 = 6x

5,250/6 = 6x/6 (Dividing by 6 at both sides)

875 = 6

<u>The original price of the laptop was US$ 875</u>

AleksAgata [21]3 years ago
5 0

<u>Answer: </u>

Therefore the original price of the laptop is $1312.5

<u>Explanation:</u>

Given the discount on the laptop is 40%

Sale price of the laptop is $525

Consider the original price to be $x

According to the question,

40% of x = 525

\frac{40}{100} x=525

x = \frac{525 \times 100}{40}

x = $1312.5

Therefore the original price of the laptop is $1312.5

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A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.
Semmy [17]

Answer:

15,872 mm³

Step-by-step explanation:

given:

A small square pyramid of height 6 cm was removed from the top of a large square pyramid of height 12cm forming the solid shown.

Find:

the exact volume of the solid

solution:

volume of square base pyramid = (base area)² * h/3

where total h = 12 cm

height of top pyramid (ht)= 6 cm

height of bottom pyramid (hb) = 6 cm

bottom volume =  total volume - the volume on top

so,

total volume = 1/3 (base area)² h

                     = 1/3 (8*8)² * 12

                     = 16,384 mm³

volume on top = 1/3 (top base area)² h

                         = 1/3 (4*4)² * 6

                         = 512 mm³

finally: get the bottom volume:

bottom volume =  total volume - the volume on top

bot. vol = 16,384 mm³ - 512 mm³

             = 15,872 mm³

therefore,

the volume of the cut  pyramid base = 15,872 mm³

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