All categories

2 years ago

Sami cut 6 3/4 inches off a long roll of paper. if the roll is now 36 1/3 inches long, how long was the original roll of paper?

Mathematics

2 answers:

Schach [20]2 years ago

6 0

(6/1)/(3/4) = (6/1)(4/3) = 24/3 = 8 cut off

(36/1)/(1/3) = (36/1)(3/1) = 108 left

8 + 108 = 116 originally

Ierofanga [76]2 years ago

5 0

Answer: 43 1/12

Step-by-step explanation:

All we need to do is to add

36 1/3 and 6 3/4 together

lets convert the to number to improper number and then add

36 1/3 = 109/3

6 3/4 = 27/4

109/3 + 27/4

=436 + 81 / 12

=517/12

= 43 1/12

You might be interested in

What is the function rule for the line?

11Alexandr11 [23.1K]

So with these equations we need to find the y-intercept and the slope because:

y = mx+b

y = f(×)

b = y-intercept

m = slope (slope = rise/run, rise over run)

rise is y-axis
run is x-axis

The y-intercept is (0,-2)
So now we know that one of the answers must have -2 in it

b = -2

m= rise/run = -2/3

The answer is:

$f(x) = - \frac{2 }{3 } x - 2$

5 0

2 years ago

Read 2 more answers

Find the difference quotient off, that is, find fly+h)-f(x) h h#0, for the following function. Be sure to simplify. f(x) = x^2 -

Sloan [31]

The difference quotient for the function f(x) is $h+2x-7$

Given :

Difference quotient formula

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}$

Given function $f(x) = x^2 - 7x + 8$

find the difference quotient using the formula

first we find out f(x+h) using given f(x)

replace x with x+h

$f(x) = x^2 - 7x + 8 \\f(x+h)=\mathrm{ }\left(x+h\right)^2-7\left(x+h\right)+8\\Expand \; and \; simplify\\f(x+h)=x^2+2xh+h^2-7\left(x+h\right)+8\\f(x+h)=x^2+2xh+h^2-7x-7h+8$

Now replace it in our formula and also replace f(x)

$\frac{\left(f\left(x+h\right)-f\left(x\right)\right)}{h}\\ \frac{x^2+2xh+h^2-7x-7h+8-(x^2 - 7x + 8)}{h} \\\frac{x^2+2xh+h^2-7x-7h+8-x^2 + 7x - 8}{h} \\\\\frac{h^2+2xh-7h}{h}\\factor \; out \; h\\\frac{h\left(h+2x-7\right)}{h}\\h+2x-7$

Learn more :brainly.com/question/23630564

3 0

2 years ago

Write the equation of the line that represents this graph. Explain how you determined the equations.

AlekseyPX

First I chose two points on the line that fall on 2 intervals or 2 lines. Then if found the slope of the two points. Using the slope and one of the points I pugged the numbers into an equation to solve for b. Once I found b I wrote an equation using b and the slope.
y=-2/3+300
steps:
(250,200)(300,100)
100-200/300-150
-100/150 or -2/3
100=-2/3(300)+b
100=-200+b
300=b
y=-2/3b+300

7 0

2 years ago

1.1. Which statement explains why the two systems of equations below have the

pochemuha

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10 .......equation (1)

2x - 5y = 12 .......equation (2)

B : 8x + 3y = 2 .......equation (1)

12x + 16y = - 20 .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

8 0

2 years ago

What is the surface area of the right cone below?

Naya [18.7K]

B should be the answer sorry if I’m wrong

8 0

2 years ago

Sami cut 6 3/4 inches off a long roll of paper. if the roll is now 36 1/3 inches long, how long was the original roll of paper?​

Sami cut 6 3/4 inches off a long roll of paper. if the roll is now 36 1/3 inches long, how long was the original roll of paper?