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lesantik [10]
3 years ago
5

Mariabella was 1/4 of the way through her book. Twenty pages later she was 1/3 of the way through her book. When she is 3/4 of t

he way through her book, how m any pages are left?
Mathematics
1 answer:
Alex777 [14]3 years ago
3 0

Answer: 60 pages left.

Step-by-step explanation:

Let the number of pages in the book be x.

As per given, we have

\dfrac14x+20=\dfrac13x\\\\\Rightarrow\ \dfrac{1}{3}x-\dfrac14 x=20\\\\\Rightarrow\ \dfrac{4-3}{12}x=20\\\\\Rightarrow\ \dfrac1{12}x=20\\\\\Rightarrow x=20\times12\\\\\Rightarrow x=240

\dfrac34 of total book = \dfrac34\times 240=180

Pages left = 240-180

= 60

Hence, 60 pages left.

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In class, Julie was asked to create a scenario for the linear function shown. She came up with the following: .Joe planned a hik
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Answer:

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

2. She has counted the slope of the line incorrect.

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Step-by-step explanation:

If Joe parked 12 miles away from the cabin and after one hour, he was still 7 miles from the cabin, then he had walked 12 - 7 = 5 miles per hour.

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Find the slope:

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So, the slope of the linear function should be -5 (not -3).

Then the equation of the function is

f(x)=-5x+12

1. Julie’s scenario doesn't match the linear function graphed, because the graphed function is f(x)=-3x+12 and must be f(x)=-5x+12

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3. She can write f(x)=-5x+12 and draw the line with the x-intercept will be at (2.4,0) and y-intercpt ar (0,12).

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30 + 10x = (-5 * -4 + -2x * -4) + 3x

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Solving

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Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-11x' to each side of the equation.

30 + 10x + -11x = 20 + 11x + -11x

Combine like terms: 10x + -11x = -1x

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Combine like terms: 11x + -11x = 0

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Add '-30' to each side of the equation.

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Combine like terms: 20 + -30 = -10

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Divide each side by '-1'.

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Simplifying

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3 years ago
Mathematics inequality
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