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3 years ago

How many solutions are there to the equation below 6×+30+4×=10(×+3)

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

Infinite many solutions. Any x-value can satisfy the equation.

Step-by-step explanation:

Let's work on simplifying the equation a little to investigate which x-values satisfy it. Start by combining like terms on the left side (6x +4x=10x),

then distribute the factor "10" into the binomial (x+10), obtaining 10x +30.

Now we have the same expression on the left and the right of the equal sign:

10x +30=10x+30. We may subtract 30 from both sides, and obtain 10x=10x, and at this point divide by 10 both sides, and we obtain: x=x

The process is shown below.

$6x+30+4x=10(x+3)\\6x+4x+30=10x+30\\10x+30=10x+30\\10x=10x\\x=x$

x=x is an equation that is verified by absolutely ANY x value on the number line, and there are infinite x-values in the number line.

Therefore there are infinite many solutions to this equation (any x-value will satisfy it).

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3 years ago

Jordan is 27 miles short of his biking goal. Hayden went 27 miles over his goal. Which of the following statement is true?

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Answer:

Option A

Step-by-step explanation:

Jordan is 27 miles short of his biking goal.

This statement states that Jordan is 27 miles behind the goal.

Hayden went 27 miles over his goal.

This statement states that Hayden is 27 miles ahead of his goal.

Option A

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Option B

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Option C

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Option D

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3 years ago

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Answer:

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Step-by-step explanation:

Lets us first calculate energy consumed by TV in 30 days.

Energy consumed by TV in one hour : 250 watts.

TV operated 2 hours a day

so energy consumer by TV in a day = 250 * 2 watts = 500 watts hour

Energy consumed by TV in 30 day = energy consumer by TV in a day * 30

= 500*30 watts = 15,000 watt-hour

Convert total energy consumed in kilo watt hour

we know that one kilowatt hour = 1000 watt-hour

Thus, 15,000 watt-hour = 15,000/1000 kilowatt-hour = 15 kilowatt-hour

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As $1 = 100 cents

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