1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
levacccp [35]
3 years ago
5

A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​

Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

24

Step-by-step explanation:

Let 12x represent the original number.

One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.

Create an equation that sets this equal to 38, and solve for x:

12x + 3x + 4x = 38

19x = 38

x = 2

The original number is represented by 12x, so plug in 2 as x:

12(2)

= 24

So, the original number is 24.

You might be interested in
Mike bought five items for lunch that cost a total of $4.55. Hot dogs cost $1.10 each and cookies cost $0.75 each. Which of thes
Setler79 [48]

Answer:

1.1h+0.75c=4.55---------------1

h+c=5--------------2

Step-by-step explanation:

Step one:

given data

total lunch items= 5

let hot dogs be h

and cookies be c

cost of hot dogs = $1.10

cost of cookies = $0.75

total cost = $4.55

Step two:

The linear model for the total cost is given as

4.55=1.1h+0.75c---------------1

and the model for the number of items is

h+c=5--------------2

The systems of the equation for the situation is

1.1h+0.75c=4.55---------------1

h+c=5--------------2

6 0
3 years ago
What is the area of triangle pqr on the grid? a triangle pqr is shown on a grid. the vertex p is on ordered pair 7 and 6, vertex
horsena [70]

P(7,6), Q(1,6), R(4,2)

We have PQ parallel to the x axis. We'll call that the base,

b = 7 - 1 = 6

The altitude is then the y difference h = 6 - 2 = 4

The area is \frac 1 2 bh = \frac 1 2 (6)(4) = 12

Answer: 12 square units


In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:

(7,6), (1,6), (4,2)

(1,6), (4,2), (7,6)

The area is then half the absolute value of the sum of the cross products:

A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12


6 0
3 years ago
Read 2 more answers
What is the amplitude of this function f (2) ?
lorasvet [3.4K]

Answer:

3/4

Step-by-step explanation:

The amplitude always comes before the operation(cos, tan...)

8 0
2 years ago
Write the function that shows a translation of f(x) two units to the left.
Galina-37 [17]

Answer:

Step-by-step explanation:

Suppose the base formula is y = x^2

You want to go two units left.

basically that is y = (x + 2)^2 just the opposite of what you might think it should be.

Where does the base function have a minimum? It's minimum is as x = 0 and y = 0

Where does y = (x + 2)^2 have it's minimum?

(-2,0)

conclusion. The base function has moved 2 units to the left.

3 0
3 years ago
Find the cost of 6 kg rice, if the cost of 10 kg rice is 325 rupees .​
Firlakuza [10]

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

5 0
3 years ago
Other questions:
  • Can u help me with 8 and 10
    12·1 answer
  • Which shows a correct order to solve this story problem? Peter bought 3 biscuits for $1.59 each and 3 sausages for $2.50 each at
    12·1 answer
  • Nico is saving money for his college education. He invests some money at 9% and $1400 less than that amount at 3%. The investmen
    8·1 answer
  • Help Me Please!! The Chilly Fizz Root Beer can was 15.2 cm high. The new can is 0.5 cm shorter. The new can has a diameter of 5.
    11·1 answer
  • Give a base class with at least one public member function, how many child classes can redefine that member function? a. 1 b. 0
    6·1 answer
  • Whats is the median in problem 2​
    6·1 answer
  • Find two consecutive whole numbers that square root113 lies between.
    5·1 answer
  • PLZZ ANSWERPLZ PZLZZZZ
    13·1 answer
  • PLEASE HELP QUICK!!<br><br> Factor!<br><br> b6–(x–4b3)2
    13·2 answers
  • What is the solution set to the equation 4(x+3)(x-2)=0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!