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never [62]
1 year ago
13

The ratio of three numbers is 4 : 5 : 3. The sum of the numbers is 54. List the numbers in ratio form.

Mathematics
2 answers:
klemol [59]1 year ago
7 0

let it be x.

4x + 5x + 3x = 54

12x = 54

x = 54/12

x = 4.5

Now 4x = 4× 4.5

= 18

3x = 3 × 4.5

=13.5

5x = 5× 4.5 = 22.5

Luda [366]1 year ago
7 0

Answer:

13.5 : 18 : 22.5.

Step-by-step explanation:

let the numbers be 3x , 4x and 5x

3x+ 4x + 5x = 54

12x = 54

x = 4.5

so the numbers are 3*4.5, 4 * 4.5 and 5 * 4.5

= 13.5, 18 and 22.5.

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How many more barrels of gasoline then diesel were produced last year gasoline 34% diesel 29% total crude oil -60 million barrel
MArishka [77]

Answer: 3 million barrels


Step-by-step explanation:

Given :- Total crude oil= 60 million barrels

Quantity of gasoline = 34% of total crude oil

=0.34\times60\text{ million barrels}\\=20.4\text{ million barrels}

Quantity of diesel = 29% of total crude oil

=0.29\times60\text{ million barrels}\\=17.4\text{ million barrels}

Clearly, Quantity of gasoline is more than Quantity of diesel

difference = Quantity of gasoline-Quantity of diesel

20.4\text{ million barrels}-17.4\text{ million barrels}\\=3\text{ million barrels}

Therefore, The production of gasoline is 3 million barrels more than diesel last year.



3 0
1 year ago
Read 2 more answers
Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 32feet above the ground,
Jlenok [28]

Answer:

There are two times for the ball to reach a height of 64 feet:

1 second after thrown ⇒ the ball moves upward

2 seconds after thrown ⇒ the ball moves downward

Step-by-step explanation:

* Lets explain the function to solve the problem

- h(t) models the height of the ball above the ground as a function

 of the time t

- h(t) = -16t² + 48t + 32

- Where h(t) is the height of the ball from the ground after t seconds

- The ball is thrown upward with initial velocity 48 feet/second

- The ball is thrown from height 32 feet above the ground

- The acceleration of the gravity is -32 feet/sec²

- To find the time when the height of the ball is above the ground

  by 64 feet substitute h by 64

∵ h(t) = -16t² + 48t + 32

∵ h = 64

∴ 64 = -16t² + 48t + 32 ⇒ subtract 64 from both sides

∴ 0 = -16t² + 48t - 32 ⇒ multiply the both sides by -1

∴ 16t² - 48t + 32 = 0 ⇒ divide both sides by 16 because all terms have

  16 as a common factor

∴ t² - 3t + 2 = 0 ⇒ factorize it

∴ (t - 2)(t - 1) = 0

- Equate each bracket by zero to find t

∴ t - 2 = 0 ⇒ add 2 to both sides

∴ t = 2

- OR

∴ t - 1 = 0 ⇒ add 1 to both sides

∴ t = 1

- That means the ball will be at height 64 feet after 1 second when it

 moves up and again at height 64 feet after 2 seconds when it

 moves down

* There are two times for the ball to reach a height of 64 feet

  1 second after thrown ⇒ the ball moves upward

  2 seconds after thrown ⇒ the ball moves downward

3 0
2 years ago
Cameron wondered if the average score on a final exam was different between those who texted on a regular basis during the lectu
Margarita [4]

Answer:

c. A two-tailed test should be performed since the alternative hypothesis states that the parameter is not equal to the hypothesized value.

Step-by-step explanation:

Let p1 be the average score on a final exam who texted on a regular basis during the lectures for a particular class

And p2 be the average score on a final exam who did not texted at all during the lectures for a particular class

According to the Cameron's point of interest, null and alternative hypotheses are:

H_{0}: p1 = p2

H_{a}: p1 ≠ p2

Two tailed test should be performed since the alternative hypothesis states that the parameter is not equal to the hypothesized value.

3 0
2 years ago
The table gives the probabilities that orphaned pets in animal shelters in six cities are one of the types listed.
vagabundo [1.1K]

Answer:

the ablity to choose one is the right now

Step-by-step explanation:

3 0
1 year ago
119.31 is 82% of what number
madam [21]
To solve
82% of x = 119.31
rewrite
x = 119.31/0.82
solve
x <span>≈ 145.5</span>

Hope this helps :)
5 0
1 year ago
Read 2 more answers
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