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Sladkaya [172]
3 years ago
6

I thought of a number, added 3 2/7 to it, then I multiplied the result by 1 1/2 , and got

Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

\frac{25}{21}

Step-by-step explanation:

First let's convert the mixed numbers into improper fractions.

3\frac{2}{7}=\frac{23}{7}

1\frac{1}{2}=\frac{3}{2}

6\frac{5}{7}=\frac{47}{7}

Let the number be n, so we can write an equation from the word problem as:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}

Now, we do algebra and solve for n:

(n+\frac{23}{7})*\frac{3}{2}=\frac{47}{7}\\\frac{3}{2}n+\frac{69}{14}=\frac{47}{7}\\\frac{3}{2}n=\frac{47}{7}-\frac{69}{14}\\\frac{3}{2}n=\frac{25}{14}\\n=\frac{\frac{25}{14}}{\frac{3}{2}}\\n=\frac{25}{14}*\frac{2}{3}\\n=\frac{50}{42}\\n=\frac{25}{21}

hence the number is 25/21

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Mademuasel [1]

Answer and explanation:

1. 9:12 or \frac{9}{12} or 9 to 12

It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.

2. 8:16 or \frac{8}{16} or 8 to 16

It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.

3. 9:10 or \frac{9}{10} or 9 to 10

It has 9 first because there are 9 lions and then 10 after because there are 10 seals.

4. 10:12 or \frac{10}{12} or 10 to 12

It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.

5. 12:9 or \frac{12}{9} or 12 to 9

It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.

6. \frac{8}{6} or \frac{40}{30} or \frac{16}{12}

I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.

7. \frac{6}{7} or \frac{42}{49} or \frac{60}{70}

I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.

8. \frac{2}{3} or \frac{4}{6} or \frac{20}{30}

I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.

9. 3:4 is equivalent to 6:8, 30:40, 12:16

I multiplied it first by 2, then by 10, then by 4.

10. 5:7 is equivalent to 10:14, 50:70, 25:35

I multiplied it first by 2, then by 10, then by 5.

11. 9:2 is equivalent to 18:4, 90:20, 27:6

I multiplied it first by 2, then by 10, then by 3.

12.

a. 48

So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.

b. 36

So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.

Hope this helped! <3

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Hope this helps!
6 0
3 years ago
Read 2 more answers
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