In the United States Patent & Trademark Office, 6000 examiners are faced with a backlog of 770,000 unexamined, new applications for patents. For each of these 6000 examiners, how many applications do they need to catch up on? Round the answer to the nearest tenth.

Given f(x) = $-3x^{2} + 4x + 1$, evaluate f(2).

Simplify the given expression. 9(9 − 10r) + (−8 − 2r)

How many degrees form a right angle like noon to 3 pm on a clock?

Solve the equation. 4.3x − 0.7(x+ 2.1) = 8.61

In the week that ended June 19, the U.S. commercial crude oil inventory decreased by 3.8 million barrels. Now if the inventory was 353.9 million barrels in the week that followed, what was the U.S. crude oil inventory before the decline?

In Napa Valley, California, 1 acre of good wine land can produce some 3.5 tons of high-quality grapes. When the average price is $\$3,414$ for premium cabernet per ton, what would be the amount of money that could be generated on 1 acre of premium cabernet farming?

Round 29.379 to the nearest tenth.

Simplify the expression: 8(7x+ 8)

Translate the phrase into a mathematical expression: “6 times the sum of the number n and 3”

On his first 3 exams, Bob scored 79, 54, and 61. What score must Bob have on the fourth exam to come to an average of 71 for all of the four exams?

Solve the given equation for x. 14x = 84

Simplify the given expression. $(4-2)^{2}-(7-2)^{3}$

Round the number 304,059,724 to the nearest hundred thousand.

Translate the phrase into a mathematical expression “4 less than 11 times the number x ”

Diver number one dives down 25 feet below sea level. Diver number two then goes down five (5) times further than diver number one. What is the final depth of diver number two?

Round the number 2,358 to the nearest ten.

The number −6 is 2 more than an unknown number. Find the unknown number.

The sides of a triangle are equal to integral numbers of units. Two sides are 4 and 6 units long, respectively; what is the minimum value for the triangle's perimeter?

John buys 100 shares of stock at $\$100$ per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and he sells his remaining 50 shares. How much did he get for the last 50?

A number N is multiplied by 3. The result is the same as when N is divided by 3. What is the value of N?

A long distance runner does a first lap around a track in exactly 50 seconds. As she tires, each subsequent lap takes 20% longer than the previous one. How long does she take to run 3 laps?

Currently, the ratio of Jaeden’s age to Kiernan’s age is 5:3, and the sum of their ages is 32. In 10 years, the ratio of their ages will be:

Otis bought a table that was discounted 33%. If t represents the original price of the table, what was Otis’s cost?

Two roommates went by car to a movie theater, which is 20 miles from their apartment. Due to heavy traffic, it took them 40 minutes to get there. What was their average speed in miles per hour?

The shadow of a woman standing next to a tree is 3 feet long, and the shadow of the tree is 12 feet long. If the woman is 5 feet, 6 inches tall, how tall, in feet, is the tree?

The heights of the five starters on the basketball team are 67 inches, 71 inches, 79 inches, 70 inches, and 79 inches. What is their median height, in inches?

A stationary store sells staplers for 1.50 usd each. A company buys an unknown number of these staplers at a cost of 36.00 usd in total. How many staplers did the company purchase?

We define a company's Net Worth as its assets minus liabilities. Assets are all things of value that may be converted into cash whereas liabilities are the company's total of debts. Now the XY Association went bankrupt while it had 28.6 billion USD in assets and 26 billion USD in liabilities. What was the XY Association's net worth before it went bankrupt?

John opened a new bank account and deposited a 215 USD check. Then he made a few withdraws of 40 USD, 20 USD, and 75 USD before he deposited one more check for 185 USD. How much is now in John’s bank account?

Which of the following pairs of points both lie on the line whose equation is 3x-y= 2?