Mathematics, 19.05.2021 22:20 ringo12384

Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.

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Answer from: annarain2004

a.) Total pages Lamar have to read the first day to meet his goal = 300

Total pages left to read after 3 days = 75

b.) Total pages he need to read on day 8 = 4.6875

Step-by-step explanation:

The exact question is as follows :

Given - Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goal to read half of the pages left in his book each day.

To find -

a) How many pages will Lamar have to read the first day to meet his goal?

How many will he have left to read after 3 days?

b) How many pages will he need to read on day 8?

Solution -

Given that,

Total number of pages = 600

Now,

In Day 1 ,

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (600)$ = 300

i.e.

In Day 1 , he Finished 300 pages.

So,

At the end of Day 1, total pages left = 600 - 300 = 300

so,

Total pages Lamar have to read the first day to meet his goal = 300

Now,

For day 2 ,

Total pages = 300

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (300)$ = 150

i.e.

In Day 2 , he Finished 150 pages.

So,

At the end of Day 2, total pages left = 300 - 150 = 150

Now,

For day 3 ,

Total pages = 150

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (150)$ = 75

i.e.

In Day 3 , he Finished 75 pages.

So,

At the end of Day 3, total pages left = 150 - 75 = 75

So,

Total pages left to read after 3 days = 75

Now,

For day 4 ,

Total pages = 75

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (75)$ = 37.5

i.e.

In Day 4 , he Finished 37.5 pages.

So,

At the end of Day 4, total pages left = 75 - 37.5 = 37.5

Now,

For day 5 ,

Total pages = 37.5

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (37.5)$ = 18.75

i.e.

In Day 5 , he Finished 18.75 pages.

So,

At the end of Day 5, total pages left = 37.5 - 18.75 = 18.75

Now,

For day 6 ,

Total pages = 18.75

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (18.75)$ = 9.375

i.e.

In Day 6 , he Finished 9.375 pages.

So,

At the end of Day 6, total pages left = 18.75 - 9.375 = 9.375

Now,

For day 7 ,

Total pages = 9.375

He will finish half of the pages

So, he finished pages = $\frac{1}{2} (9.375)$ = 4.6875

i.e.

In Day 7 , he Finished 4.6875 pages.

So,

At the end of Day 7, total pages left = 9.375 - 4.6875 = 4.6875

So,

At the starting of Day 8,

Total pages = 4.6875

So,

Total pages he need to read on day 8 = 4.6875

Lamar has a list of 600 pages to read to finish his book for his upcoming book report. He sets a goa

Answer from: Quest

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like, however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

$\bf e(\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{0-2}{)}\implies \implies \cfrac{-2}{0+2}\implies \cfrac{-2}{2}\implies -1 \\\\[-0.35em] ~\dotfill$

$\bf d(\stackrel{x_1}{-2}~,~\stackrel{y_1}{-1})\qquad f(\stackrel{x_2}{0}~,~\stackrel{y_2}{0}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{)}{)}\implies \cfrac{0+1}{0+2}\implies \cfrac{1}{2} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope~of~ef}{-1\implies \cfrac{-1}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{-1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{1}{1}\implies 1}}$

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

Answer from: Quest

5.25 ounces

step-by-step explanation:

divided 3/4 and 6

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