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saw5 [17]
3 years ago
10

one-third of the people from country A claim that they are from country B, and the rest admit they are from country A. One-fourt

h of the people from country claim that they are from country A, and the rest admit they are from country B. In a combined census of the two countries, one-half of the total claimed to be from A. What is the ratio of the populations of Country A to that of country B.
Mathematics
1 answer:
In-s [12.5K]3 years ago
8 0

Answer: 3 : 2

Step-by-step explanation:

Let A represents the total population of country A and B represents the total population of country B.

According to the question,

 \text{The population of country A that admit they are from B} = \frac{1}{3}\text{ of }A

⇒ \text{ The population of A that admit they are from country A }= A - \frac{1}{3} \text{ of } A

= \frac{3-1}{3} A

= \frac{2}{3} A

\text{The population of country B that admit they are from A} = \frac{1}{4}\text{ of }B

⇒ \text{ The total population that claims that they are from A }= \frac{2}{3} A +\frac{1}{4} B

But, Again according to the question,

The total population that claims that they are from A =  one half of the total population of A and B.

⇒ \frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}(A+B)

⇒ \frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B

⇒ \frac{2}{3} A + \frac{1}{4} B= \frac{1}{2}A+\frac{1}{2}B

⇒ \frac{2}{3} A - \frac{1}{2}A= \frac{1}{2}B-\frac{1}{4} B

⇒ \frac{4}{6} A - \frac{3}{6}A= \frac{2}{4}B-\frac{1}{4} B

⇒ \frac{1}{6} A = \frac{1}{4} B

⇒ A =\frac{6}{4}B

⇒ \frac{A}{B} =\frac{3}{2}

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Vlad [161]

Answer:  2x^2      -16t

               25t         -20

Step-by-step explanation:

Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply  5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.

6 0
2 years ago
Use the distributive property to create an equivalent expression to 7x divided by 56 use GCF
MAXImum [283]

Answer:

x/8

Step-by-step explanation:

7x/56=x/8

4 0
2 years ago
2+x^2=18<br> Help please
Harlamova29_29 [7]

Answer:

2+x^2=18 = 2+4^2=18

Step-by-step explanation:

Because when you have the ( ^2) then that means your going to multiply a number by the same number and then 4 times 4 equals 16 and you still have the +2 therefore you add that on the 16 and 16+2 equals 18.

3 0
3 years ago
Solve this system of linear equations. Separate
ASHA 777 [7]

Answer:

x=-17/19, y=131/19. (-17/19, 131/19).

Step-by-step explanation:

-19x=26-9

-19x=17

x=-17/19

9(-17/19)=54-9y

-153/19=54-9y

9y=54-(-153/19)

9y=54+153/19

9y=1026/19+153/19

9y=1179/19

y=(1179/19)/9

y=(1179/19)(1/9)

y=1179/171

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7 0
3 years ago
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LekaFEV [45]

Answer:

45%

Step-by-step explanation:

Counting the marbles, there are 5 green, 6 blue and 9 red.

Which means the odds of drawing a red to a non red are 11:9

In fraction form that would be 9 marbles out of 20 are red. 9/20

Since the fraction cannot be simplified, we can go to decimal form.

9/20=.45

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The answer is 45%.

6 0
3 years ago
Read 2 more answers
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