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Doss [256]
3 years ago
9

Which equation(s)

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

C) y = 12 x Represents the proportional  relationship.

Step-by-step explanation:

Two quantities P and Q are said to be proportional if and only if:

P \propto Q \implies  P  =  k Y

Here: K = Proportionality Constant

Now, here the given expression are:

1. y =  7 x^2\\\implies y \neq kx

So, y is NOT PROPORTIONAL to x.

2. y = 2 + 3x\\\implies y \neq kx

So, y is NOT PROPORTIONAL to x.

3. y = 12 x\\\implies y = kx, k = 12

So, y is  PROPORTIONAL to x.

2. y = 5 - x\\\implies y \neq kx

So, y is NOT PROPORTIONAL to x.

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An airplane is flying at 350 ​km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
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Step-by-step explanation:Find the exact value using tringometric  identities

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4 years ago
Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the num
shepuryov [24]

<em><u>Question:</u></em>

Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right. Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

A) Brian and Damien both answered 2 fewer questions correctly than Chris did.

B) Brian and Damien both answered 4 more questions correctly than Chris did.

C) Brian and Damien both answered 2 more questions correctly than Chris did.

D) Brian and Damien both answered 4 fewer questions correctly than Chris did.

<em><u>Answer:</u></em>

Option C

Brian and Damien both answered 2 more questions correctly than Chris did

<em><u>Solution:</u></em>

Let "x" be the number of correct answers of Brian

Let "y" be the number of correct answers of Chris

Let "z" be the number of correct answers of Damien

<em><u>The number of questions Brian got right is 14 more than 1/4 the number of questions Chris got right</u></em>

x = 14 + \frac{1}{4}y\\ ---------- eqn 1

<em><u>Damien correctly answered 2 less than 5/4 the number of questions Chris answered correctly</u></em>

z = \frac{5}{4}y - 2 ---------- eqn 2

<em><u>Brian and Damien have the same score</u></em>

x = z -------- eqn 3

Therefore,

14 + \frac{1}{4}y = \frac{5}{4}y - 2\\\\\frac{5}{4}y - \frac{1}{4}y = 14+2\\\\y = 16

<em><u>Substitute y = 16 in eqn 1</u></em>

x = 14 + \frac{16}{4}\\\\x = 14 + 4\\\\x = 18

Therefore, by eqn 3,

z = 18

Thus we get,

Number of correct answers of Brian = 18

Number of correct answers of chris = 16

Number of correct answers of Damien = 18

Therefore, correct statement is:

Brian and Damien both answered 2 more questions correctly than Chris did

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