<u><em>Answer:</em></u>
original price of pants = $25
<u><em>Explanation:</em></u>
<u>First, let's calculate the price of shorts after discount:</u>
Assume that the price of shorts after the discount is x
Total payment = price of shorts + taxes
<u>We know that:</u>
total payment = $21
taxes = 5% = 0.05 of the price
<u>This means that:</u>
21 = x + 0.05x
21 = 1.05x
x = $20
Therefore, <em>the price of the shorts is $20 after the discount</em>
<u>Now, we will get the price of the shorts before the discount:</u>
Assume that the price of shorts before discount is y
<u>We know that:</u>
The discount was 20%
This means that Jennifer paid:
100% - 20% = 80% of the price of the shorts
<u>Therefore:</u>
80% of the price = $20
0.8y = 20
y = $25
This means that <u>price of shorts before discount was $25</u>
Hope this helps :)
Answer:
14x+3=8x+3
14x+3 -3 = 8x+3 -3
Cancels out the 3
14x = 8x
14x - 8x = 8x -8x
Cancels out the 8x
14x = 0
x = 0
Step-by-step explanation:
Answer:
Total paper required = 165 cm²
Step-by-step explanation:
Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid
Surface area of the rectangular prism = 2(lb + bh + hl)
(here l, b, h are the length, width and height respectively)
= 2(5×5 + 5×4 + 4×5)
= 2(25 + 20 + 20)
= 2×65
= 130 cm²
Area of the top of the prism = (side)²
= 5²
= 25 cm²
Lateral area of the square pyramid = 4 × Area of one lateral side
= 4 × ![[\frac{1}{2}(\text{Base})(\text{Height})]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28%5Ctext%7BBase%7D%29%28%5Ctext%7BHeight%7D%29%5D)
= 4 × ![[\frac{1}{2}(5)(6)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%285%29%286%29%5D)
= 60 cm²
Total paper required = (130 - 25) + 60
= 105 + 60
= 165 cm²
Answer:
4
Step-by-step explanation:
m = 10 - 6 / 6 - 5
m = 4 / 1
m = 4
Answer:
D : 510 units
Step-by-step explanation:
NOTE:
Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)
WORK:
I broke down this shape into two rectangles with the following dimensions:
- 12 meters by 5 meters
- 3 meters by 14 meters
You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)
Using this information, you can now solve for the volume of each of the rectangles
12*5*5 = 300 units
3*14*5 = 210 units
Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals
510 units
