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
The formula F = 1.8C + 32 allows you to find the Fahrenheit (F) temperature for a given Celsius (C) temperature. Solve the equat
Slav-nsk [51]

Answer:

The formula to calculate the Celsius temperature for a given Fahrenheit temperature is:

C=\frac{F-32}{1.8}

Step-by-step explanation:

Given formula:

F=1.8C+32

where F represents temperature in Fahrenheit and C represents  temperature in Celsius.

To solve the equation for C.

Solution:

We have,

F=1.8C+32

Subtracting both sides by 32.

F-32=1.8C+32-32

F-32=1.8C

Dividing both side by 1.8

\frac{F-32}{1.8}=\frac{1.8C}{1.8}

\frac{F-32}{1.8}=C

∴ C=\frac{F-32}{1.8}

Using the above formula, we can calculate the Celsius temperature for a given Fahrenheit temperature.

6 0
4 years ago
Luis, using appropriate safety precautions, fires a .22 caliber gun directly into the sky above him. The bullet travels at a spe
Tanya [424]

The equation represents height as a function of time.

The bullet was in the air for 75 seconds.

The equation is given as:

h(t) = -16t^2  + 1200t

The time spent in the air is the time it takes the bullet to land on the ground.

When the bullet is on the ground, the height is:

h(t) = 0

So, we have:

h(t) = -16t^2  + 1200t

-16t^2 + 1200t = 0

Factor out t

t(-16t + 1200) = 0

Split

t = 0 or -16t + 1200 = 0

t = 0 represents when the shot is fired.

So, we solve for t in -16t + 1200 = 0

Collect like terms

16t = 1200

Divide both sides by 16

t = 75

Hence, the bullet was in the air for 75 seconds

Read more about height and time at:

brainly.com/question/2261757

5 0
2 years ago
for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the difference
zhenek [66]
We have the following table:
 545-534.2 = 10.8
 545-556.4 = -11.4
 545-554.0 = -9
 545-535.3 = 9.7
 write them as a positive and negative rational numbers
 positive:
 9.7 = 9 7/10
 10.8 = 10 4/5
 negative:
 -11.4 = -11 2/5
 -9 = -9
 the differences from least to greatest
 -11 2/5
 -9
 9 7/10
 10 4/5
8 0
3 years ago
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at
ArbitrLikvidat [17]
12 boys. 7 * 3 is 21. 21 girls. 4*3 is 12. 12 boys 21 girls
4 0
4 years ago
The original retail of a leather chair is listed at $121.40 and is discounted by 60% in a summer sale. What is the discount and
olga2289 [7]

Answer:48.56

Step-by-step explanation: 121.40-60%=

5 0
3 years ago
Other questions:
  • Rewire 19/5 as a mixed number
    13·2 answers
  • I don’t understand the symbols in number 5 please
    14·1 answer
  • A proofreader can read 40 pages in one hour. How many pages can this proofreader read in 90 minutes?
    10·2 answers
  • 18 is 32% of what number?
    6·2 answers
  • A deck consists of cards with 7 suits labelled A to G and num- bered ranks from 1 to 8. Each card is equally likely to be drawn.
    7·1 answer
  • 27.9 is what percent of 62
    9·2 answers
  • HELP pls <br><br> which of the above solids has the larger surface area
    5·2 answers
  • For each division problem, determine which place you should write the first digit of the quotient.
    14·2 answers
  • Help pls . Thank you very much
    12·2 answers
  • Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection. Which function f represents
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!