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max2010maxim [7]
3 years ago
11

9. Select the proper inverse operation to check the answer to 14 + 17 = 31.

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0
I think the answer is A
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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
In-s [12.5K]

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}

8 0
3 years ago
I need an answer for 27 please. Thank you. It’s due tomorrow.
Anarel [89]

\bf \stackrel{distance}{d}~~=~~\stackrel{rate}{r}\cdot \stackrel{time}{t} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{kilometers}{k}~~=~~\stackrel{rate, km/h}{8}\cdot \stackrel{time, hours}{d}~\hfill \stackrel{km s~travelled~in~ d = 3~ hours}{k=8(3)\implies k = 24}

7 0
3 years ago
Can someone do these? i'll give brainleist to whoever does them all​
igor_vitrenko [27]
You have to multiply 6x6x6= 218
4 0
3 years ago
What's the answer to 4|p-3|=|2p+8|? And how do you check your answer?
Serhud [2]
We want to solve 4|p-3| = |2p+8|

Ths equation is equvalent to 4 equatons.

Case 1.
4(p - 3) = 2p + 8
4p - 12 = 2p + 8
2p = 20
Answer:  p = 10

Check the solution. 
4|p-3| = 4*7 = 28
|2p+8| = 2*10+8 = 28
The solution is correct.

Case 2.
4(3 - p) = 2p + 8
12 - 4p = 2p + 8
4 = 6p
Answer:  p = 2/3

Check the solution.
4|p-3| = 4*|(2/3-3)| = 28/3
|2p+8| = 28/3
The solution is correct.

Case 3.
4(p-3) = -2p - 8
4p - 12 = -2p - 8
6p = 4
Answer: p = 2/3
The solution is correct because it was checked in case 2.

Case 4.
4(3 - p) = -2p - 8
12 - 4p = -2p - 8
20 = 2p
Answer:  p = 10
The answer s correct because t was checked in Case 1.

Answers:  
p = 10 or  p = 2/3.  
Both answers check out to be correct.

4 0
3 years ago
The width of a rectangle is X. Its length is 2x. How long is the diagonal of the rectangle? Express
dolphi86 [110]

Answer:

Step-by-step explanation:

7 0
2 years ago
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