Answer:
The selling price of the agenda book is $6.38 to the nearest cent.
Step-by-step explanation:
Assume that the cost price of the agenda book is 100%
∵ The discount is 15%
∵ The selling price = the cost price - discount amount
∴ The selling price = 100% - 15%
→ That means the selling price is 85% of the cost price
∵ The cost price = $7.50
∴ The selling price = 85% × 7.50
→ Change 85% to a number by divide it by 100
∴ The selling price = 
× 7.50
∴ The selling price = 6.375
→ Round it to the nearest cent (2 d.p)
∴ The selling price = $6.38
∴ The selling price of the agenda book is $6.38 to the nearest cent.
Answer:
4/9 = 44/99
10/11 = 90/99
Step-by-step explanation:
44/99=90/99
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius)
- Volume of a cylinder = r²h
(where r is the radius and h is the height)
- radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3) x 21³ = 6174 in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174
196h = 6174
Divide both sides by : 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in
Answer: A
Step-by-step explanation: Domain is the input, or x values. You can see the points (1, 6), (2,3), (3,1), and (6,5). In ordered pairs, the x values are the numbers on the left:
(x, y)
So if we take all the numbers on the left, we get 1, 2, 3, and 6. Thus, our domain is {1,2,3,6}
To find the perimeter of this blue figure, add together the shown lengths of the six sides.
The three measurements on the top have the LCD 4, so we combine 14 3/4, 4 2/4 and 8 2/4. The sum is 26 7/4, or 27 3/4, or 27.75.
The three measurements on the bottom share the LCD 5, so we can immediately combine them, obtaining 32 8/5, or 33 3/5, or 33.60.
Combining 27.75 and 33.60 results in 61.35, or 61 35/100, or 61 7/20.
The perimeter of the given figure is 61 7/20.
