All categories

3 years ago

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:

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

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

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