Rachelleannelucasidn
Answered

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1. n: 2 = 5:10 2.6:24 = 3:n. 3.3:n = 9:12 4. = 217 n 14. 5. = 81 45 9n​

Sagot :

CloudyClothyidn

[tex]{\underline{ \tt\green{ RATIO \: AND \: PROPORTION: }}}[/tex]

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[tex]{\underline{ \tt\green{ ANSWER: }}}[/tex]

1. 1: 2 = 5:10

Lets check ✓:

  • Multiply the part of means (inside part) and divide the product to number 10.
  • Part of means: it is 5 and 2
  • Part of extremes: it is 1 and 10.

[tex]{\underline{ \tt\green{ 5 \times 2 = 10 }}}[/tex]

[tex]{\underline{ \tt\green{ 10 \div 10 = 1 }}}[/tex]

[tex]{\underline{ \tt\green{ = 1: 2 = 5:10 \: ✓}}}[/tex]

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2. 6:24 = 3:12.

Lets check ✓:

  • Multiply the part of means (inside part) and divide the product to number 6.
  • Part of means: 24 and 3
  • Part of extremes: 6 and 12

[tex]{\underline{ \tt\green{ 24 \times 3 = 72}}}[/tex]

[tex]{\underline{ \tt\green{ 72 \div 6 = 12 }}}[/tex]

[tex]{\underline{ \tt\green{ = 6:24 = 3:12 \: ✓ }}}[/tex]

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3. 3:4 = 9:12

  • Multiply the part of extremes (outside part) and divide the product to number 9.
  • Part of means: 4 and 9
  • Part of extremes: 3 and 12

[tex]{\underline{ \tt\green{ 3 \times 12 = 36 }}}[/tex]

[tex]{\underline{ \tt\green{ 36 \div 9 = 4}}}[/tex]

[tex]{\underline{ \tt\green{ = 3:4 = 9:12 \: ✓}}}[/tex]

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4. The given is messy.

5. The given is messy.

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#BrainlyChallenge2021

Answer and step-by-step explanation:

1. n: 2 = 5:10

(n)(10) = (2)(5) - Separate the means and extremes.

   10n = 10 - Multiply.

   [tex]\frac{10n}{10} =\frac{10}{10}[/tex] - To remove 10 from n, divide both sides with 10.

       n = 1

2. 6:24 = 3:n

   (6)(n) = (24)(3) - Separate the means and extremes.

       6n = 72 - Multiply.

        [tex]\frac{6n}{6} =\frac{72}{6}[/tex] - To remove 6 from n, divide both sides with 6.

         n = 12

3. 3:n = 9:12

(3)(12) = (n)(9) - Separate the means and extremes.

    36 = 9n - Multiply.

     [tex]\frac{36}{9} = \frac{9n}{9}[/tex] - To remove 9 from n, divide both sides with 9.

       4 = n

4. 21:7 = n:14

(21)(14) = (7)(n) - Separate the means and extremes.

    294 = 7n - Multiply.

      [tex]\frac{294}{7} =\frac{7n}{7}[/tex] - To remove 7 from n, divide both sides with 7.

       42 = n

5. 81:45 = 9:n

   (81)(n) = (45)(9) - Separate the means and extremes.

       81n = 405 - Multiply.

       [tex]\frac{81n}{81}=\frac{405}{81}[/tex] - To remove 81 from n, divide both sides with 81.

           n = 5

I hope it helps :).