HELP ASAP QUESTION IN PHOTO

If Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book. If he reads 24 pages

JulijaS [17]

Answer:

Total number of pages is 540.

Step-by-step explanation:

Let mark read x be he number of pages per day and d be the number of days to finish the book.

Total number of pages = xd

Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.

$(x-18)(d+5)=xd$

$xd+5x-18d-90=xd$

$5x-18d=90$ .... (1)

He reads 24 pages less per day, he will need 8 extra days to finish.

$(x-24)(d+8)=xd$

$xd+8x-24d-192=xd$

$8x-24d=192$

$x-3d=24$ ... (2)

Subtract 5 times of equation (2) from equation (1).

$5x-18d-5(x-3d)=90-5(24)$

$5x-18d-5x+15d=90-120$

$-3d=-30$

$d=10$

Substitute d=10 in equation (1).

$5x-18(10)=90$

$5x-180=90$

$5x=90+180$

$5x=270$

Divide both sides by 5.

$x=54$

Total number of pages

$xd=(54)(10)=540$

Therefore , the total number of pages is 540.

3 0

3 years ago

What is the answer for 4.23 is less than 4.135?

Dvinal [7]

is 4.23 less than 4.135

its not its larger

8 0

3 years ago

2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi

Kruka [31]

Your equation would be:

4 0

3 years ago

Consider the line y=2x-4 . find the equation of the line that is parallel to this line and passes through the point , 5 4 .

RoseWind [281]

So the equation is parallel and the slope will be 2
y=2x+b
sub in(5,4) for x and y to find b
4=2(5)+b
4-10=b
b=-6
therefore the equation is y=2x-6

8 0

3 years ago

Drag the correct graph of each equation into the space next to that equation to show how the output y-values change with changes

Jlenok [28]

Answer:

see the explanation and the attached figure

Step-by-step explanation:

Part 1) Linear

we have

$y=x+3$

This is the equation of the line in slope intercept form

The slope is positive and equal to m=1

The y-intercept is b=3

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

therefore

The graph in the attached figure

Part 2) Quadratic function

we have

$y=3x^2$

This is a vertical parabola open upward with the vertex at origin

As the value of x increases the value of y increases too

As the value of x decreases the value of y increases

therefore

The graph in the attached figure

Part 3) Exponential function

we have

$y=3^x$

This is a exponential growth function

As the value of x increases the value of y increases too

As the value of x decreases the value of y decreases too

The initial value or y-intercept is 3

therefore

The graph in the attached figure

8 0

3 years ago