Answer:
320 in.²
Step-by-step explanation:
Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.
The total area of the rectangle is 16 × 24, which is 384.
Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.
384 - 64 = 320
The total surface area of the following complex shape is 320 in.²
Bob can buy 15 cupcakes for the price of 18 cookies.
Step-by-step explanation:
- Assume the cost of a cookie is $x, the cost of a brownie is $y and the cost of a cupcake is $z.
- It is given that 6 cookies and 2 brownies cost the same, so 6x = 2y, take this as equation 1.
- It is also given that 4 brownies cost the same as 10 cupcakes, so 4y = 10z, take this as equation 2.
- If we divide equation 2 by 2 we get, 2y = 5z so that the y value is the same as equation 1 and we can equate equation 1 and 3.
- We get 6x = 2y = 5z, 6x = 5z, dividing both sides by 5, we get 1.2x = z.
- We need to calculate how many cupcakes Bob can buy for the price of 18 cookies, So we must find the z value when the x = 18.
- If we multiply 1.2 with 15 we get 18 so we the last equation is multiplied with 12 so that 18x = 15z. 18 cookies and 15 cupcakes cost the same.
Karen has more of her drink left
This is because she has 1/6 of her drink left,while Michelle has 2/16, or 1/8 of her drink left.
Since 1/6> 1/8, Karen has more of her drink left
Hope this helps :)
Answer:
Oliver has 6 cupcakes
Step-by-step explanation:
Lily has 2 cupcakes
Multiply 2 by 3 because Oliver has 3 times Lily
2 times 3 equals 6
