To find the number divide 14 by 70%
14/0.70 = 20
The number is 20
Answer:
a. 4r² b. 2r c. 6 cm
Step-by-step explanation:
The surface area A of the cube is A = 24r². We know that the surface area, A of a cube also equals A = 6L² where L is the length of its side.
Now, equating both expressions, 6L² = 24r²
dividing both sides by 6, we have
6L²/6 = 24r²/6
L² = 4r². Since the area of one face is L², the polynomial that determines the area of one face is A' = 4r².
b. Since L² = 4r² the rea of one face of the cube, taking square roots of both sides, we have
√L² = √4r²
L = 2r
So, the polynomial that represents the length of an edge of the cube is L = 2r
c. The length of an edge of the cube is L = 2r. When r = 3 cm.
L = 2r = 2 × 3 cm = 6 cm
So, the length of an edge of the cube is 6 cm.
Pink: 2lbs = $6.40
Blue: 4-oz = $1.00
Green 1lb 8oz = $4.20
Pink = $3.20 per pound
Blue = (4 oz = 1/4 a pound) $4.00 per pound
Green = (8 oz = 1/2 a pound)(1lb 8 oz = 150% = 1 price + 1/2 of that price to equal $4.20) $2.80 per pound ($2.80 plus 1/2 of $2.80 ($1.40) = $4.20)
Karen should buy the GREEN sprinkles because it costs the least ($2.80) per pound, whereas blue costs $4.00 per pound, and pink costs $3.20 per pound.
Answer:
Converting Units and Comparing Quantities:
The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.
Step-by-step explanation:
Maximum height of vehicle to pass bridge, (A) = 12 feet 5 inches = (12 x 12) + 5 = 144 + 5 = 149 inches
A Truck's height (B) = 162 inches
The difference between height of Truck and maximum height of allowed vehicle = (A - B) = 13 inches (162 - 149)
Therefore, the truck is higher than the bridge by 13 inches, and cannot pass the bridge.
For the truck to pass the bridge, it must be below 149 inches.