Pls help!

The office manager ordered 140 reams of printer paper. Based on average daily use, they know that 140 reams of paper will last a

Paul [167]

Let

x--------> the number of days

y--------> the number of reams of paper

we know that

For x=0 days y=140 reams of paper--------> point A(0,140)

The point A is the y-intercept -----> remember that the y-intercept is the value of y when the value of x is equal to zero

For x=80 days y=0 reams of paper--------> point B(80,0)

The point B is the x-intercept -----> remember that the x-intercept is the value of x when the value of y is equal to zero

Step 1

Find the equation in slope-intercept form

Find the slope of the points A and B

m=(y2-y1)/(x2-x1)

substitute

m=(0-140)/(80-0)-------> m=-140/80

$m=-1.75 \frac{reams}{day}$

the equation in slope-intercept form is equal to

y=mx+b

b is the coordinate of y in the y-intercept point

so

b=140

substitute

$y=-1.75x+140$

therefore

the answer part 1) is

the equation in slope-intercept form is equal to $y=-1.75x+140$

Step 2

Find the reasonable domain for this situation

the domain are the values for x

$x\geq0\\x\leq 80\\0\leq x \leq80$

therefore

the domain is the interval-------> [0,80]

Step 3

Find the reasonable range for this situation

the range are the values for y

$y\geq0\\y\leq 140\\0\leq y \leq140$

therefore

the range is the interval-------> [0,140]

Step 4

What is the rate of change and what does it represent?

the rate of change is the slope of the equation of the line

in this problem

$m=-1.75\frac{reams}{day}$

the rate of change represents the amount of reams that are consumed per day, is negative because each day is becoming smaller

Step 5

What does the x-intercept represent in this situation?

For x=80 days y=0 reams of paper--------> point B(80,0)

The point B is the x-intercept -----> remember that the x-intercept is the value of x when the value of y is equal to zero

The x-intercept represents the day 80, day in which the amount of reams is zero

Step 6

What does the y-intercept represent in this situation?

For x=0 days y=140 reams of paper--------> point A(0,140)

The point A is the y-intercept -----> remember that the y-intercept is the value of y when the value of x is equal to zero

The y-intercept represents the day 0, day in which the amount of reams is 140

4 0

3 years ago

What is 28/49 in simplest form?

HACTEHA [7]

28/49 divided by 7 since is teh bigest number they can bith be divided it would give us 4/7

6 0

3 years ago

What’s the original volume

anzhelika [568]

Answer:

V = 1959.75ft²

Step-by-step explanation:

The volume is equal to the height of the barrel times (π × r²)

V = h(πr²)

V = 10.8(π × 7.6²)

= 10.8(π × 57.76)

= 10.8(181.46)

V = 1959.75ft²

7 0

4 years ago

Plz tell me if im correct for 10 points. Thanks

marysya [2.9K]

$log_{3}(243)$
$= log(243) \div log(3)$
$= 5$
ur correct

6 0

4 years ago

Read 2 more answers

HELP ASAP WILL MARK BRAINLIEST AREA OF FIGURES

Lerok [7]

Answer:

1. 170.083 in³

2. 126π in³

3. 92.106 m³

4. 2412.74 in³

5. 612π m³ and 1922 m³

Step-by-step explanation:

1.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$(3.14)(2.5)^{2}(7)$ *Square 2.5*

$(3.14)(6.25)(7)$ *Solve*

≈ $137.375in^{3}$

Sphere:

$V = \frac{4}{3}\pi r^{3}$ *Plug in numbers*

$\frac{4}{3} (3.14)(2.5)^{3}$ *Cube 2.5*

$\frac{\frac{4}{3}(3.14)(15.625)}{2}$ *Divide by 2 and Solve*

≈ $32.7083 in^{3}$

Add both volumes

$137.375 + 32.7083$ ≈ $170.083in^{3}$

2.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$\pi (3)^{2}(10)$ *Square 3*

$\pi (9)(10)$ *Multiply*

$90\pi$

Sphere:

$V = \frac{4}{3}$ π $r^{3}$ *Plug in numbers*

$\frac{4}{3}\pi (3)^{3}$ *Cube 3*

$\frac{4}{3} \pi (27)$ *Multiply*

$36\pi$

Add both Volumes to get total

$90\pi + 36\pi = 126in^{3}$

3.

Sphere:

$V = \frac{4}{3}\pi r^{3}$ *Plug in numbers*

$\frac{4}{3} (3.14)(3)^{3}$ *Cube 3*

$\frac{4}{3} (3.14)(27)$ *Multiply*

$113.04m^{3}$

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{(3.14)(2)^{2}(5)}{3}$ *Square 2*

$\frac{(3.14)(4)(5)}{3}$ *Solve*

$20.93m^{3}$

Subtract the volumes to get the volume of the blue area

$113.04 - 20.93 = 92.106m^{3}$

4.

Sphere:

$V = \frac{4}{3} \pi r^{3}$ *Plug in numbers*

$\frac{4}{3}\pi (8)^{3}$ *Cube 8*

$\\\frac{4}{3}\pi (512)$ *Multiply*

$\\\\\pi (682.6)$ *Solve*

$2133.66in^{3}$ *Divide by 2 since it's a hemisphere*

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{\pi (8)^{2}(20)}{3}$ *Square 8*

$\frac{\pi (64)(20)}{3}$ *Multiply and Divide*

$1340.41 in^{3}$

Add both volumes

$1072.33 + 1340.41 = 2412.74in^{3}$

5.

Cylinder:

$V = \pi r^{2}h$ *Plug in numbers*

$\pi (6)^{2}(16)$ *Square 6*

$\pi (36)(16)$ *Multiply*

$576\pi$

Cone:

$V = \frac{\pi r^{2}h}{3}$ *Plug in numbers*

$\frac{\pi (6)^{2}3}{3}$ *Square 6*

$36\pi$

Add both volumes

$576\pi + 36\pi = 612\pi m^{3}$

Alternative: *Multiply π*

$1922m^{3}$

4 0

3 years ago

Read 2 more answers