Logan has 64 inches of trim to make a picture frame. since he wants to use all of the trim, he decides to make a square frame measuring 8 inches on each side. did logan correctly determine the correct frame size? explain. a. yes; since 8 × 8 = 64 , logan will use all of the trim. b. yes; 8 + 8 = 16 . since the four sides of the square are equal and 4 × 16 = 64 , logan will use all of the trim. c. yes; since 64 ÷ 4 = 16 , logan will use all of the trim. d. no; 8 × 8 = 64 is the area of the rectangle. logan should find a square with a perimeter of 64, not an area equal to 64.

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Give the equations of two different lines that are perpendicular to the line 3x + 4y = 7.

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?