Answer:
fx=ax-ap+6x-6g is the simplified answer
Step-by-step explanation:
f(x)= a(x-p) 3(x-g) 2
fx= ax-ap+ (3x-3g)2
fx= ax-ap+ 6x-6g
Answer: The volume of the stone is 576 cubic inches
Step-by-step explanation: The dimensions of the tank are given in feet and inches, hence we shall use the lower of the unit of measurement that is, inches. Note that 1 foot equals 12 inches, so the length is 2 feet times 12, which equals 24 inches. Also the width is 1 foot times 12 which equals 12 inches. Then the tank is filled with water up to a depth of 8 inches , so the volume of water in the tank can be calculated as follows;
Volume = L x B x H
Where Length = 24, Width = 12 and Height = 8
Volume = 24 x 12 x 8
Volume = 2304
At 2304 cubic inches, a stone is placed in the water tank and the water level rises by 2 inches which implies that the depth is now 10 inches. With the addition of the stone, the dimensions are now shown as;
Length = 24, Width = 12, and Height = 10
Volume = L x W x H
Volume = 24 x 12 x 10
Volume = 2880
With the rise in volume of water in the tank, the difference (which is the volume of the stone) now is Volume with stone minus volume without stone, that is
Volume of stone = 2880 - 2304
Volume of stone = 576
Therefore the volume of the stone is 576 cubic inches
Samuel exercises for 100 minutes each day. Or in other words, 1 hour and 40 minutes.
Answer:
800 square feet per minute
Step-by-step explanation:
Answer:
$171
Step-by-step explanation:
A store has a 10% off sale on pants. With this discount, the price of one pair of pants before tax is $17.10 What was the original price of the pants?
Let x represent the original price of the pair of pants
From the question, we know that:
10% of x = $17.10
10/100 × x = $17.10
10x/100 = $17.10
Cross Multiply
10x = 100 × $17.10
10x = 1710
x = 1710/10
x = $171
Hence, the original price of the pants = $171
