<h3>
Answer:</h3>
<u>It squares the amount you scaled it by.</u>
<h3>
Step-by-step explanation:</h3>
For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.
Now each side length would be double of what it once was.
But when you multiply the new lengths together, the area would be of 4 times more.
(Original Equation) 2 * 2 = 4
(Scale Factor of 2) 4 * 4 = 16
So when the scale factor is made, the area would be squared to the multiple that you scaled it by.
<em>***A square root is a number times itself.</em>
<em>(eg): 3 * 3 = </em><em>9</em>
<em> 15 * 15 = </em><em>225</em>
<em>9 and 225 would be the square root in these problems.</em>
Area of rectangles = width * length.
So x*12 = 12x = area of first rectangle
So 16*(x-2) = 16x -32 = area of second rectangle
The question states to make them equal, so:
first rectangle = second rectangle
12x = 16x -32
Solve for x
-4x = -32
4x = 32
x = 8
Answer:
the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Step-by-step explanation:
Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.
Therefore tax in first city = 10% of a = 0.1a
Tax in second city = 8% of b = 0.08b
From the total tax as $825, hence:
0.1a + 0.08b = 825 (1)
The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:
b = a - 1500
a - b = 1500 (2)
To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:
0.18b = 675
b = $3750
a = b + 1500 = 3750 + 1500 = 5250
a = $5250
Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750
Answer:
The difference between buying online and buying in store is $12.50. The difference between the markups themselves is $2.50. Because the markup of buying in store is more than buying online, we can tell that buying in store costs more than buying online.
Step-by-step explanation:
The markup of buying online is $40 (25% of 160). Because of this, we'll add $40 to the original price, which means that buying online would cost you $200. On the other hand, the markup of buying in a store is $52.50 (35% of $160). This means we'll add $52.50 to the original price, giving us a total of $212.50. We now know that buying at the superstore costs $212.50, and buying online costs $200. To find the difference, we subtract $200 from $212.50. We get $12.50, which means that <u>the difference in total price is $12.50.</u>
Next, we're trying to find out the difference between the markups themselves. Since we know that the markup of buying online is $40, and the markup of buying in store is $52.50, we have to subtract $40 from $52.50. We are left with $2.50. Therefore, <u>the difference between the markups is $2.50.</u>
We can draw the conclusion that because the markup price for buying in store is more than the markup price of buying online even though they (without markup) cost $160, it'll cost more in store.
Answer: (a) Cylinder
The formula for volume of a cone = 1/3 π r² h
The formula for volume of a cylinder = π r² h