Math1
An airplane flying a distance of 750 miles used 60 gallons of gas. How many gallons will it need to travel 2,500 miles?
What is 200.
If the airplane uses 60 gallons of gasoline while flying 750 miles, it is getting 750 ÷ 60 or 12.5 miles per gallon of fuel burned.
At this rate of fuel consumption, it will require 2,500 ÷ 12.5 = 200 gallons of fuel to fly 2,500 miles
What is the ratio of 10 feet to 30 inches?
What is 4:1
Expl- Ten feet is equal to 120 inches. The ratio of 120 ÷ 30 is 4:1.
Convert 7 to binary form.
What is 0111
To convert a decimal number to a binary number, the place values in the binary system are used to create a sum of numbers that equal the value of the decimal number being converted. Start with the largest binary place value and subtract from the decimal number. Continue this process until all of the binary digits are determined. 7 = 0111 in binary.
64 Cubed equals
What is 262.144
The cube of a number is found by multiplying the number by itself three times. 64^3 = 64 x 64 x 64 = 262,144
Find the square root of 124.9924.
What is 1,118 x 10 to the negative second power.
The square root of 124.9924 is 11.18. 111.8 x 10^3 = 111,800 .1118 x 10^-2 = 0.001118 1,118 x 10^-2 = 11.18
True or False: The total piston displacement in a reciprocating engine is The volume displaced by all the pistons during one revolution of the crankshaft.
What is True.
The piston displacement of an engine is the total volume swept by the pistons in one revolution of the crankshaft. The piston displacement is found by multiplying the area of the piston head by the length of the stroke (this gives the displacement of one cylinder). Multiply the displacement of one cylinder by the number of cylinders in the engine.
Aspect ratio of a wing is defined as the ratio of the
wingspan to the mean chord.
Expl- The aspect ratio of a wing is the ratio of the wing span to the mean, or average, chord. For a nonrectangular wing, aspect ratio is found by dividing the square of the wing span by the wing area.
Find the square root of 1,746.
What is 41.7852
The square root of a number is the number that, when multiplied by itself, gives the number. By using an electronic calculator, we find that the square root of 1,746 is 41.785165.
Find the value of 10 raised to the negative sixth power.
What is .000001
Ten raised to the negative sixth power (10^-6) is equal to 0.000 001. This negative number is the reciprocal of the positive sixth power of ten. It is found by dividing the number 1 by the sixth power of 10 (1,000,000)
The result of 7 to the third power plus the square root of 39 is equal to.
What is 349.24
7 raised to the third power is 343. The square root of 39 is 6.245. The sum of these two numbers is 349.245.
What is the ratio of 10 feet to 30 inches?
What is 4:1
Ten feet is equal to 120 inches. The ratio of 120 ÷ 30 is 4:1.
What power of 10 is equal to 1,000,000,000?
10^9
An easy way to tell the power of 10 to which a number has been raised is to count the number of places the decimal would have to be moved to leave a number between 1 and 10. In this problem, the decimal would have to be moved nine places to the left. 1,000,000,000 is 1 x 10^9
Find the square root of 3722.1835.
What is 61.0097
The square root of a number is the number that, when multiplied by itself, gives the number. By using an electronic calculator, we find that the square root of 3,722.1835 is 61.00970005
What is the square root of 4 raised to the fifth power?
What is 32.
The square root of four is two. Two raised to the fifth power is 32.
Find the square root of 1,824.
What is .42708 x 10 to the second power.
The square root of 1,824 is 42.708. 42.708 x 10^-2 = 0.42708 .42708 x 10^2 = 42.708
What is the square root of 16 raised to the fourth power?
What is: 256
Expl- The square root of 16 is 4. 4 raised to the fourth power is 256
Convert the binary number 00001111 to a whole number.
What is 15
The binary number 00001111 is converted bit by bit into whole number: 1000 = 8; 0100 = 4; 0010 = 2; and 0001 = 1; thus the entire binary number equals 8 + 4 + 2 + 1 = 15 as a whole number
Which of the following is the square root of (-1776)/(-2)-632?
What is 16.
Solve this problem in three steps: 1. Divide -1776 by -2: -1776/-2 = 888. 2. Subtract 632 from 888: 888 - 632 = 256. 3. Find the square root of 256: 16.
The number 3.47 x 10 to the negative fourth power is equal to ..
What is .000347
The value of 3.47 x 10^-4 is found by multiplying 3.47 by 1 divided by 10,000 (1 x 10^4). 3.47 x 10^-4 = 0.000347
The radius of a piece of round stock is 7/32. Select the decimal which is most nearly equal to the diameter.
What is 0.4375
Expl- The diameter of the stock is two times the radius. We need to find the decimal equivalent of 2 x 7/32, or 7/16 inch. By dividing the numerator by the denominator, we find that we will need a piece of round stock with a diameter of 0.4375 inch.
Container size that will be equal in volume to 60 gallons of fuel. (7.5 gal=1 cu ft)
What is 8.0 Cubic Feet.
Expl- Since a one-cubic-foot container will hold 7.5 gallons, an 8-cubic-foot container will hold 60 gallons. 60 ÷ 7.5 = 8
A rectangular shaped fuel tank measures 27-1/2 inches in length, 3/4 foot in width, and 8-1/4 inches in depth. How many gallons will the tank contain? (231 cu in = 1 gal)
What is 8.83
Expl- The volume of a rectangular solid figure (such as this fuel tank) is found by multiplying its length, width, and depth together. All dimensions must be in the same units. 3/4 foot = 9 inches. V = L x W x D = 27.5 x 9 x 8.25 = 2,041.875 cubic inches Since there are 231 cubic inches in each gallon, we must divide the total volume of 2,041.875 by 231 to find the capacity of the tank in gallons. Capacity = 2041.875 ÷ 231 = 8.83 gallons This tank will hold 8.83 gallons of fuel.
Square root of 100 + Square root of 36 - Square root of 16 =
What is 12
The square root of 100 is 10.
The square root of 36 is 6.
The square root of 16 is 4.
10 + 6 - 4 = 12
What is an alternative answer equal to 16,300?
(*HInt: X 10 to what power?)
What is 1.63 x 10 to the fourth power.
1.63 x 10^4 = 16,300 1.63 x 10^-3 = 0.00163 163 x 10^-2 = 1.63
If the fluid pressure is 800 PSI in a 1/2-inch line supplying an actuating cylinder with a piston area of 10 square inches, the force exerted on the piston will be
What is 8,000 pounds.
Expl- The size of the line that supplies fluid to an actuating cylinder has nothing to do with the amount of force the piston in the cylinder can exert. When a pressure of 800 psi acts on a piston with an area of 10 square inches, a force of 800 x 10 = 8,000 pounds is produced.