A number is thrice the second number. The second number is also twice the third number. If the average of the three numbers is 18, find the numbers.

Answers

Answer 1

Answer: x - 1st number
y - 2nd number
z - 3rd number

$x=3y\n y=2z\n (x+y+z)/(3)=18\n\n x=3y\n z=(y)/(2)\n x+y+z=54\n\n 3y+y+(y)/(2)=54\n 6y+2y+y=108\n 9y=108\n y=12\n\n z=(12)/(2)\n z=6\n\n x=3\cdot12\n x=36\n\n \boxed{36,12,6}$

Related Questions

What is 6:12 in simplest form? A. 2:1 B. 1:2 C. 2 D. 12:6
Line g has a slope of and passes through point (-2,6) . What is the equation for the line in slope-intercept form?
Brent is making a playlist for an upcoming trip. The average length of a song is 3.53 minutes If the flight is about 120 minutes, how many songs should be put on his playlist
As a bowling instructor, you figure your students' averages during tournaments. In 5 games, one bowler had the following scores: 143, 156, 172,133, and 167. What was that bowler's average?
9ones 2thousandths - 3ones

Evaluate the 6 trigonometric functions of theta for 540 degrees

Answers

540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.

(4 pts) Henry walks out of his hall and proceeds to walk 200 feet due north. He then turns left (west) and walks 190 more feet. Finally, he turns 45∘ left and walks 260 feet. How many feet is Henry from his starting point

Answers

Answer:

Henry is approximately 276 feet from his starting point.

Step-by-step explanation:

To find how many feet Henry is from his starting point, you can use the Pythagorean theorem because he walked in both the north and west directions, creating a right triangle. Here's the calculation:

1. The distance he walked north is 200 feet.

2. The distance he walked west is 190 feet.

3. The 45-degree angle forms a right triangle.

Now, use the Pythagorean theorem:

a² + b² = c²

Where:

a = 200 feet (north)

b = 190 feet (west)

a² + b² = c²

(200)² + (190)² = c²

40000 + 36100 = c²

76100 = c²

Now, find the square root of 76100:

c = √76100 ≈ 276 feet

So, Henry is approximately 276 feet from his starting point.

The dimensions of a conical funnel are shown below:A conical funnel is shown with the height of the cone as 6 inches and the radius of the base as 2 inches.

Nadia closes the nozzle of the funnel and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 10 cubic inches per minute, how long will it take for all the liquid to pass through the nozzle? (Use π = 3.14.)
2.51 minutes
7.53 minutes
4.18 minutes
3.14 minutes

Answers

Volume of a conical funnel = π r² h/3
v = 3.14 * (2in)² * 6in/3
v = 3.14 * 4in² * 2in
v = 25.12 in³

25.12 in³ ÷ 10 in³ per minute = 2.512 minutes

It will take 2.51 minutes for all the liquid to pass through the nozzle.

Answer:

2.51 minutes

Step-by-step explanation:

Step 1: Find the total volume of the funnel

The volume of a cone can be calculated by below formula:

$V=(1)/(3)pi*r^(2)h$

Where V is volume, pi is π, r is the radius of the base of the cone and h is the height of the cone

pi = 3.14

r = 2 inches

h = 6 inches

$V=(1)/(3)pi*r^(2)h$

$V=(1)/(3)*3.14*2^(2)*6$

$V=25.12 in^(3)$

Step 2: Determine the time taken for funnel to empty

Assuming rate of emptying of funnel is constant

$t=(V)/(R)$

Where t is the time taken to empty the funnel and R is the rate at which the liquid drips

V = 25.12 cubic inches

R = 10 cubic inches/minute

$t=(V)/(R)$

$t=(25.12)/(10)$

$t=2.512 minutes$

paul paints a room in 6 hours. joel paints the room in 3 hours. how long will it take them to paint togather?

Answers

Paul paints 1/6 of the room each hour.
Joel paints 1/3 of the room each hour.

Working together, they paint (1/6 + 1/3) of the room each hour.

In order to add the fractions, you need a common denominator.
6 will work:

(1/6 + 1/3) = (1/6 + 2/6) = 3/6 = 1/2

Together, they can paint at the rate of 1/2 room/hour .

This rate of work produces 2 hour/room.

$(1)/(6)+(1)/(3)=(1)/(x)\n (1)/(6)+(2)/(6)=(1)/(x)\n (3)/(6)=(1)/(x)\n (1)/(2)=(1)/(x)\n x=2$

2 hours

A pair of sneakers is regularly at $ 52. It is on sale for 15% off of the regular price, what is the sale price of the sneakers?

Answers

The required sale price of the sneakers is $44.2.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is the sale price?

Sale price of product is defined as the price at which the product is present to the buyer, and also which is greater to the cost price of saller.

here,

A store is having a 15% off sale.

Let the price after getting the discount to be x,

The original cost of the sneakers is $52,

Now, Subtract the discount from the original price to get the sale price. So,

sale price = original price - 15% of 52

sale price = 52- 0.15× 52

sale price = 52- 7.8= $44.2

Thus, the required sale price of the sneakers is $44.2.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

If it is 15% off, then that means it is 85% of the regular price.

52 x .85 = $44.20

The answer is $44.20!

Alternatively, you can do:

52 x .15 = 7.8
52 - 7.8 = 44.2!

Write a function, f(x) , to represent how much money Alex collected from selling tickets

Answers

example

normally the ammmount you earn is calculated by (how many you sold) times (how much 1 costs)

so lets say each ticket costs c
he sold x tickets

f(x)=cx where c=cost per ticket and x=number of tickets sold

Other Questions

The first term of an arithmetic sequence is 4 and the fifth term is 16. What is the nth term of the sequence?A. 4n B. 3n + 1 C. 5n – 1 D. 4n + 1

Soni has 196 pencils. If she puts equal amounts of pencils into eight boxes, she has four pencils left. How many pencils does she put in each box?

What is the least common multiple of 17 and 23

Simplify each of the expressions below. Which of the expressions have a value between 20 and 40? Select all that apply.A)(6 −3)2+(5×3) B)72 −(1×3)3 C)43 −5×8 D)102 −(5+2)2