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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.

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A cube has a surface area of 150 square inches (in)
Marta_Voda [28]

Answer:

25in²

Step-by-step explanation:

a cube has 6 faces

all of these are equal

therefore you need to divided 150 by 6

that's 25

the answer is 25 in²

3 0
3 years ago
A fishing boat with two people on it runs out of gas while out in a bay. The people set off an emergency flare from a height of
elixir [45]

Answer:

Step-by-step explanation:

time taken to reach the max height is expressed according to the projectile equation;

tmax = u/g

Given u = 30m/s

g is the acceleration due to gravity = 9.81

t = 30/9.81

t = 3.0secs

hence it will take the flare 3.06secs to reach its maximum height.

Max height = u²/2g

Max height = 30²/2(9.81)

Max height = 900/19.62

Max height = 45.87m

If the people set off an emergency flare from a height of 2 meters above the water, the total height will be 45.87 + 2 = 47.87m

7 0
3 years ago
How do you verify this trigonometric identity? cos^2 θcot^2 θ = cot^2 θ - cos^2 θ
sattari [20]
<h3>Explanation:</h3>

Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).

  cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)

  (1 -sin^2(θ))cot^2(θ) =  . . . . . replace cos^2 with 1-sin^2

  cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin

  cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired

8 0
3 years ago
Is y=10.2x a proportional relationship?​
BabaBlast [244]

Answer:

Step-by-step explanation:

Yes!

The condition needed to get a proportional answer is the y intercept must be 0. No other value can be added on. It doesn't matter that the constant of proportionality is not an integer. x and y will always differ by 10.2 as a multiplied value

Put another way, the fraction y/x will always give 10.2

7 0
2 years ago
Solve log (x + 1) = –x2 + 10 by graphing
Anit [1.1K]
 Your answer would be x = 3.0645

CHECK
log (3.0645 + 1) ?=? -(3.0645)2 + 10
log 4.0645 ?=? -9.3912 + 10
0.609 ?=? 0.609

Hope this helps!

So in short your answer is x = 3.0645
3 0
3 years ago
Read 2 more answers
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