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Korvikt [17]
3 years ago
8

What is the constant of proportionality in the equation 6y=3x6y=3x6, y, equals, 3, x?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
5 0
For this case we have the following equation:
 6y = 3x
 From here, we must clear the value of y.
 We have then:
 y = (3/6) x
 Rewriting we have:
 y = (1/2) x
 The proportionality constant is:
 k = 1/2
 Answer:
 the constant of proportionality in the equation 6y = 3x is:
 1/2
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Answer:

1. C. 1/4(4) + 1/4(9) (A, 1/4(13), is essentially C simplified (without figuring it out).)

2. G - -4

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Step-by-step explanation:

1.

1/4(4 + 9) <em>We can distribute 1/4 into 4 and 9.</em>

1/4(4) + 1/4(9) <em>Now while we have our answer, this can be further simplified.</em>

1/4(13) <em>What's on the left is the simplified 2-term equation.</em>

<em>So really, either C or A will be the answer. But due to the format of #3, I put C as my answer. B & D were out because there wasn't any extra multiplication.</em>

2.

-2/5(15 - 5) <em>Subtract 5 from 15 to get 10.</em>

-2/5(10) <em>Multiply -2/5 by 10 to get -20/5</em>

-20/5 <em>Divide -20 by 5 to get -4.</em>

-4, so G is the answer. <em>This was negative, so H & J were out to begin with. F was out as soon as I solved the problem.</em>

3.

-4(-5 + x) <em>Distribute -4 into -5 + x.</em>

-4(-5) + (-4)x, so A is the answer. <em>Don't get tricked! B may look right, but there should be a negative sign in front of the 5, hence why it's incorrect.</em>

4.

1/6(x + y) <em>Distribute 1/6 into x + y.</em>

1/6x + 1/6y, so J is the answer. <em>F & G are already out because you don't multiply the variables by each other. H is also out because there wasn't any multiplication involved other than x + y being multiplied by 1/6.</em>

5.

Only 60(10 + 2) would have worked, so A is the answer. The tickets would have cost 720 dollars (600 + 120). <em>B would have equated to 624 (24 + 600), C would have been 132 (6 * 22), and D would have been 600. (10 * 60).</em>

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Answer:

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