Complete Question
If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?
Answer:
3 quarts of paint
Step-by-step explanation:
The Logo is rectangular in shape, hence:
The area of a rectangle = Length × Width
The logo has dimensions of 6 ft and 11ft.
Area of the Logo = 6ft × 11ft = 66ft²
He needs a quart of paint for every 22 square ft
Hence:
22 ft² = 1 quart of paint
66ft² = x
Cross Multiply
22 ft² × x = 66 ft² × 1 quart
x = 66 ft² × 1 quart/22 ft²
x = 3 quarts of paint
Therefore, he will need 3 quarts of paint for the whole logo.
Answer:
≈ 82 feet
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to calculate distance (d)
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Here the hypotenuse is the distance (d) between the 2 poles, hence
d² = 80² + 45² = 6400 + 2025 = 8425 ( take the square root of both sides )
d = 
≈ 82 feet ( to the nearest foot )
Answer:
-3
Step-by-step explanation:
-2(2x+5)-x=5(x+1) +15
distribute
-4x-10-x=5x+5+15
add common terms
-5x-10=5x+20
move common terms to the same sides
-30=10x
divide
x=-3
Answer:
Step-by-step explanation:
Given the expressions all that is required is to expand them (using the distributive property) to see which answers they match up to:
For a: 
For b: 
For c calculate the square of a sum: 
(add like terms) c: 
For d: 
