After sailing 18 mi, a sailor changed direction and increased the boat's speed by 2 mph. An additional 11 mi was sailed at the increased speed. The total sailing time was 3 h. Find the rate of the...

After sailing 18 mi, a sailor changed direction and increased the boat's speed by 2 mph. An additional 11 mi was sailed at the increased speed. The total sailing time was 3 h. Find the rate of the...

An engineer traveled 185 mi by car and then an additional 645 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 8 h. Find the rate of the car.

The president of a company traveled 1900 mi by jet and 300 mi on a prop plane. The rate of the jet was three times the rate of the prop plane. The entire trip took 5 h. Find the rate of the jet....

A large drain and a small drain are opened to drain a pool. The large drain can empty the pool in 2 h. After both drains have been open for 1 h, the large drain becomes clogged and is closed. The...

Write your answer as a mixed number in simplest form

3^x+3^(x+1)+3^(x+2)=2^x+2^(x+2)+2^(x+3)

[-12 -w2] = [2k -81] 2f 3 -14 3

A construction company is digging basement for a house. The length is 45 feet more than the width, and the height is 19 feet less than the width. If the volume of the basement is 24,750 cubic...

Six ounces of an insecticide are mixed with 15 gal of water to make a spray for spraying an orange grove. At the same rate, how much additional insecticide is required to be mixed with 85 gal of water...

One and one-half ounces of a medication are required for a 140-pound adult. At the same rate, how many additional ounces of medication are required for a 210-pound adult?

Josiah has 2 jobs and can work at most 30 hours per week. He makes $10 per hour at Zummies and $12 per hour at construction buisiness. If he wants to make at least $300 a week write a systems of inequalities...

The current (I) in a wire varies directly as the voltage (v) and inversely as the resistance (r). If the current is 27.5 amps when the voltage is 110 volts and the resistance is 4 ohms, find the current...

When a fraction has a numerator that is one less than twice an unknown number and a denominator that is that unknown number, the fraction will be greater than the unknown number increased by four...

The negative of a certain number divided by three more than that number is less than four more than the number. Find the solutions that satisfy this inequality.

On an architectural drawing, 1/2 inch represents 1 ft. Using this scale, find the dimensions of a room that measures 4 1/2 in. by 6 in. on the drawing. smaller dimension ...

Let A and B be independent evnets where P(A)=0.3 and P(B)=0.6 Find P(AnB) Find P(AuB) Find P(AnB’)

Let A and B be independent evnets where P(A)=0.3 and P(B)=0.6 Find P(AnB) Find P(AuB) Find P(AnB’)

The exchange rate gives the value of one country's money in terms of another country's money. Recently, 1.587 U.S. dollars would purchase one British pound. At this rate, what would be the cost in...

A team of biologists captured and tagged approximately 2300 northern squawfish at the Bonneville Dam on the Columbia River. Later, 216 squawfish were recaptured and 9 of them had tags. How many squawfish...

For the synthetic division shown below, what is the quotient and what is the remainder? (Use x as your variable.) -2 3 7 3 -3 ...

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