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3 years ago

Help me! I have a retake on this and my last answer I put was A and D and I got it wrong!

Mathematics

1 answer:

IgorC [24]3 years ago

6 0

9514 1404 393

Answer:

A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

g = kt . . . . for some value of k

We note that another equivalent is ...

g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

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A new plasma-screen television has purchase price of 8590 if sales tax on this purchase is 773.10, find the sales tax rate

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6 1/4 % written in decimal form please

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the sides of a square are each multiplied by 3 to firm a new square. If the area of the original was K, then the area of the squ

Keith_Richards [23]

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4 years ago

Please help with this 1 question! -3-||

Naily [24]

<h3><u>Explanation</u></h3>

Get rid of the denominator by multiplying the whole equation with 100x.

$\frac{20}{100} (100x) = \frac{80}{x} (100x) \\ \frac{20}{ \cancel{100}}( \cancel{100} \: \: x) = \frac{80}{ \cancel{x}} (100 \cancel{x}) \\ 20x = 80(100) \\ 20x = 8000$

Solve the equation for x-term.

$x = \frac{8000}{20} \longrightarrow \frac{800 \cancel{0}}{2 \cancel{0}} \\ x = \frac{800}{2} \longrightarrow \frac{ \cancel{800} \: \: 400}{ \cancel{2} \: \: 1} \\ x = 400$

Answer Check

Substitute x = 400 in the equation.

$\frac{20}{100} = \frac{80}{400} \\ \frac{ \cancel{20} \: \: \: 1}{ \cancel{100} \: \: \: 5} = \frac{ \cancel{80} \: \: \: 1}{ \cancel{400} \: \: \: 5} \\ \frac{1}{5} = \frac{1}{5}$

The equation is true for x = 400. Therefore the answer for equation is x = 400.

<h3><u>Answer</u></h3>

<u> $\large\boxed{x = 400}$ </u>

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