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Arithmetic Reasoning

The total water usage for a city is 50,000 gallons each day. Of that total, 32% is for personal use and 59% is for industrial use. How many more gallons of water each day is consumed for industrial use over personal use?

13,500

59% of the water consumption is industrial use and 32% is personal use so (59% - 32%) = 27% more water is used for industrial purposes. 50,000 gallons are consumed daily so industry consumes $ \frac{27}{100} $ x 50,000 gallons = 13,500 gallons.

General Science

Which of the following is a decomposer?

fungi

Decomposers (saprotrophs) are organisms such as bacteria and fungi that break down the organic matter in the dead bodies of plants and animals into simple nutrients.

Math Knowledge

Solve for z:
9z - 9 < $ \frac{z}{5} $

z < 1$\frac{1}{44}$

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.

9z - 9 < $ \frac{z}{5} $
5 x (9z - 9) < z
(5 x 9z) + (5 x -9) < z
45z - 45 < z
45z - 45 - z < 0
45z - z < 45
44z < 45
z < $ \frac{45}{44} $
z < 1$\frac{1}{44}$

Mechanical Comprehension

A screw is most like which of the following other simple machines?

inclined plane

A screw is an inclined plane wrapped in ridges (threads) around a cylinder. The distance between these ridges defines the pitch of the screw and this distance is how far the screw advances when it is turned once. The mechanical advantage of a screw is its circumference divided by the pitch.

General Science

"For every action, there is an equal and opposite reaction." This describes which of Newton's laws of motion?

third

Newton's third law of motion states that For every action, there is an equal and opposite reaction. When an object exerts a force on another object, the second object exerts a force of equal magnitude in the opposite direction on the first object.

Math Knowledge

If a = c = 3, b = d = 8, and the blue angle = 58°, what is the area of this parallelogram?

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 3 x 8
a = 24

General Science

Which of Earth's layers has weather?

troposphere

The Earth's atmosphere has several layers starting with the troposphere which is closest in proximity to the surface. Containing most of the Earth's breathable air (oxygen and nitrogen), it's a region with warmer temperatures closer to the surface and cooler temperatures farther away which results in the rising and falling air that generates weather.

General Science

Earth's history is divided into time periods, which of these is the longest time period?

eon

The Earth is approximately 4.6 billion years old and its history is divided into time periods based on the events that took place and the forms of life that were dominant during those periods. The largest graduation of time is the eon and each eon is subdivided into eras, eras into periods, periods into epochs, and epochs into ages.

Math Knowledge

$\sqrt{80}$

If side a = 8, side b = 4, what is the length of the hypotenuse of this right triangle?

$ \sqrt{80} $

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 8² + 4²
c² = 64 + 16
c² = 80
c = $ \sqrt{80} $

General Science

Which of these is a type of Earth's crust?

oceanic

The crust is the Earth's outermost layer and is divided into oceanic and continental types. Oceanic crust is 3 miles (5 km) to 6 miles (10 km) thick and is composed primarily of denser rock. Continental crust is 20 to 30 miles (30 to 50 km) thick and composed primarily of less dense rock. The crust makes up approximately one percent of the Earth's total volume.