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never [62]
2 years 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]2 years 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]2 years 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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The Patel family went apple picking. The number of red apples they picked was 2 __ 2 9 times the number of green apples they pic
miskamm [114]

Answer:

100

I first made 45 a fraction = 45/1

Then i made 2 2/9 into an improper fraction

then make my equation

45/1 ×20/9=100

answer is 100 red apples

Step-by-step explanation:

6 0
2 years ago
A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the s
marin [14]

Answer:

H0 ; μ ≤ 4 pCi/L

Ha ; μ > 4 pCi/L

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The null hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is less than or equal to the safe level of 4pCi/L

H0 ; μ ≤ 4 pCi/L

The alternative hypothesis is that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L.

Ha ; μ > 4 pCi/L

7 0
2 years ago
8,000 is blank as 800
Alecsey [184]

8,000 is 10 times as much as 800

3 0
2 years ago
Read 2 more answers
James is the manager at an entertainment arena that draws an average 7,000 patrons per event. Each ticket taker can process 350
Elina [12.6K]

Answer:

No. James didn't have enough ticket takers to process the average number of patrons hat usually attend the events.

He need to hire 2 more ticket taker (i.e 20 ticket takers) in order to process the average number of patrons hat usually attend the events.

Step-by-step explanation:

Given:

Average amount of patron per event= 7000

Each ticket taker can process = 350

Number of ticket takers hired = 18

We need to find the whether he hire enough to process the average number of patrons that usually attend the events.

Solution:

We will find the Average amount of patron ticket takers can process.

Now we can say that

Average amount of patron ticket takers can process is equal to Each ticket taker can process multiplied by Number of ticket takers hired.

framing in equation form we get;

Average amount of patron ticket takers can process = 350 \times 18 = 6300\ patrons

Hence With the required hires James cannot fully process the patrons usually attending the event.

To find how many ticket takers required we will divide average number of patrons with  Each ticket taker can process.

framing in equation form we get;

ticket takers required = \frac{7000}{350}=20

hence In order t process the the average number of patrons that usually attend the events James will require 20 ticket takers.

6 0
2 years ago
Consider the system of linear equations. x + y = 9.0 0.50 x + 0.20 y = 4.05 Find the values of x and y .
mixas84 [53]

Answer:

x=7.5

y=1.5

Step-by-step explanation:

x + y = 9.0

subtract x from both sides

y=9-x

0.50x + 0.20y= 4.05

0.50 x +0.20(9-x)= 4.05

0.50x+1.8-0.2x= 4.05

combine like terms

0.30x+1.8= 4.05

subtract 1.8 from both sides

0.30x=2.25

divide both sides by 0.3

x=7.5

y=9-x

y=9-7.5

y=1.5

4 0
2 years ago
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