All categories

3 years ago

If y varies directly with x when y=1/3 and x = 12, find x if y is 4.

Mathematics

1 answer:

Nikitich [7]3 years ago

6 0

Answer:

x = 144

Step-by-step explanation:

y α x

we introduce a constant 'k' when changing from α to =.

i.e y = kx

y = ⅓ when x = 12

Meaning, ⅓ = k * 12

⅓ = 12k

k = ⅓ ÷ 12

k = 1/36

If y = 4, x = ?

using the equation y = kx

4 = (1/36)x

x = 4 ÷ (1/36)

x = 4 * 36

x = 144

You might be interested in

Rachel buys a new television that is on sale for 15% off. She also gets a 5% discount on the sale price plus a $50 mail-in rebat

Minchanka [31]

$ 2372.50 is the final amount that Rachel will have to pay.

4 0

3 years ago

Read 2 more answers

What is an expression equivalent to 8x -5x +12

nlexa [21]

Answer:

3x + 12

Step-by-step explanation:

I got this answer because since 8x and -5x are like terms, you are able to subtract them from each other. 8x-5x is 3x. Since you cant add 12 to 5x because they aren't like terms, you leave the expression as it is right now. Finally, your answer is 3x + 12.

Hope I helped! Have a good day.

7 0

3 years ago

Read 2 more answers

Please HELP PLEASE

Kisachek [45]

Answer:

Step-by-step explanation:

So you convert 2 1/5 to 2 2/10 and you convert 3 1/2 to 3 5/10 so that it can have the same denominator. Then you change 2 2/10 to a decimal which will be 2.2 and you change 3 5/10 to a decimal which will be 5.5. Then you multiply 2.2 by 3.5 and get 7.7. Don’t forget about the 6. You multiply 7.7 by 6 and get 46.2.

Read more on Brainly.com - brainly.com/question/14799038#readmore

8 0

3 years ago

Please give a worked explanation! Thanks :)

ozzi

When you add any fractions, you need to find a common denominator. In this case they have no common factors so you just multiply them together. First multiply the first fraction by $\frac{x - 2}{x - 2}$ which gets you $\frac{3x - 6}{ x^{2} - 2x}$ . Then multiply the second fraction by $\frac{x}{x}$ to get $\frac{5x}{ x^{2} - 2x}$ . Now you can add them together to get $\frac{-2x - 6}{ x^{2} - 2x}$ .

(b) $\sqrt{18} = \sqrt{9 * 2} = 3 \sqrt{2}$
$\sqrt{72} = \sqrt{36 * 2} = 6 \sqrt{2}$
now you can pull out root 2 and get $\sqrt{2}(3 - 1 + 6)$ which equals $8 \sqrt{2}$