How many 3 3/4 foot pieces ribbon can be cut from a pieces of ribbon that is 36 feet long.

Answer:

[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]

Step-by-step explanation:

First find the pattern.

1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.

if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.

I would next try only adding to the numerator and denominator separately.  

so 1/3 gets 3 added to the 1 and 4 added to the 3.  Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3.  So that is the right answer.

So we know what is happening.  if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term  is when n=1 and we want that to cancel out.  You can also simplify it and get (3n-2)/(4n-1)

Let me know if it doesn't make sense.  

Answer:

Each raffle ticket cost $3.

Answer:

11 cents

Step-by-step explanation:

1 penny = 1 cent

1 nickel = 5 cents

2×1 nickel = 10 cents

1 penny + two nickels

= 1 cent + 10 cents

= 11 cents

Answer:

option b ) 18

Step-by-step explanation:

The questions states 3 different values for f(x)

f(x) = 3x + 12,  if x ≤ -2

f(x) = 4 ,          if  -2 < x < 3

f(x) = 2x²         if x ≥ 3

Evaluate f(3)

x = 3, that is x ≥ 3

So we will have  to choose f( x )  = 2x²

                                          f( 3 ) = 2 (3)²

                                                  = 2 x 9

                                                  =  18

Answer:

Step-by-step explanation:

If the function is

[tex]y=x^2-4x[/tex], then its derivative is

y' = 2x - 4. This is equal to 0 where

2x - 4 = 0 and

2x = 4 so

x = 2. When x = 2 in the original equation:

[tex]y =2^2-4(2)[/tex] so

y = -4. So the coordinate is (2, -4). On to the next one:

If the function is

[tex]y=25x +\frac{1}{x}[/tex] then its derivative is

[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where

[tex]25-\frac{1}{x^2}=0[/tex] and

[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:

[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so

[tex]25x^2=1[/tex] and

[tex]x^2=\frac{1}{25}[/tex] so

x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so

x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates

[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]

Answer:

430 cm^2

thankuhh

have a nice day

Answer:

[tex]6ft^2[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:  [tex]A=\frac{1}{2} bh[/tex]

The base is 4 because 2 + 2 = 4

[tex]A=\frac{1}{2}( 4)(3)[/tex]

[tex]A=\frac{1}{2} (12)[/tex]

[tex]A=6[/tex]

Hope this helps

Answer:

A) The first one for whole triangle = 6ft^2

or

B) The second one for blue  = 3ft^2

Step-by-step explanation:

T1 Area = 1/2 x 3 x 4 = 6ft^2

T2 Area = 1/2 x 3 x 2 = 3ft^2

T3 Blue Area = 6-3 = 3ft^2

You can only graph a system of linear equations.

Match the graph with the correct set of equations for each linear system.

Answer:

(I only know part A. sorry) The mean is 2.

Step-by-step explanation:

To find the mean of data you have to add all of the numbers and then divide by the total number of numbers being added. (I hope that made sense)

So you have to do- 1+3+2+2+1+3+3+1=16 -and then- 16÷8=2 -so you're answer is 2.

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Answer:

$36,575 is the new tuition

Answer:

"D" only 1 & 2

Step-by-step explanation:

sorry im answering late..

Answer:

27

Step-by-step explanation:

9x0=0  9x1=9  9x2=18                                

[9x3=27]  9x4=36  9x5=45  

9x6=54  9x7=63  9x8=72  

9x9=81  9x10=90  9x11=99

9x12=108

41 years ago, when Sally was 13 and her mother was 39.

Step-by-step explanation: I've heard this question b4

Answer:

27.44 in²

Step-by-step explanation:

The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.

We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].

This solves to 27.44 in².

**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!

Answer:

[tex]tan \theta = - \frac{7}{24}[/tex]

Step-by-step explanation:

[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]

        [tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]

Answer:

The length is 99 centimeters.

Step-by-step explanation:

The area of a rectangle is found by multiplying:

A = Length • width

We also know that the area of the rectangular painting is 5,049 cm^2

An equation to represent this is:

51w = 5049

To find w, divide:

5049/51 = 99

CHECK YOUR ANSWER:

Formula tor area of a rectangle:

Length x width

Use formula with the measurements:

99 x 52 = 5049

So the length is 99 centimeters.

HOPE THIS HELPS!

Answer:

20%

Step-by-step explanation:

When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is

[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]

Plugging our values into this formula, we get

[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.

Answer:

LN and NK

Step-by-step explanation:

line LK was bisected (cut in half) by JM

the segment created by the bisector will be congruent

Answer:

Step-by-step explanation:

x+15 = 2x-40

Move x to the right side and you get 15 = x-40

Move -40 to the left side and you get x = 55

In order for the parallelogram to be a rhombus, x must equal 55.

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add up to 180 degrees.

We have,

If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.

We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.

x + 15 = 2x - 40

First, we can simplify by adding 40 to both sides and getting:

x + 55 = 2x

Next, we can subtract x from both sides and get:

55 = x

Therefore,

In order for the parallelogram to be a rhombus, x must equal 55.

To verify this, we can substitute x = 55 back into the expressions for the sides:

x + 15 = 55 + 15 = 70

2x - 40 = 2(55) - 40 = 70

Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.

Thus,

In order for the parallelogram to be a rhombus, x must equal 55.

Learn more about Rhombus here:

https://brainly.com/question/27870968

#SPJ2

Answer:

38.8%

Step-by-step explanation:

Area of the triange:

6*6.5*.5= 19.5

Area of the circle:

π*16= 16π

19.5/16π= .387940174

38.8%

Answer:

38.8%

Step-by-step explanation:

Answer:

OB.71

Step-by-step explanation:

correct me if I'm wrong

Answer:C.70

Step-by-step explanation:

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

Answer:

5%

Step-by-step explanation:

5 customers ordered large cold drinks so the probability would be 5/100

To convert 5/100 to percent, just do 5/100 x 100%

Answer:

2700÷9=300

300×2=600liters yellow paint

Answer:

f(a + 1) = a² + 2a + 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x² + 1

Step 2: Evaluate

Answer:

[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]

Answer:

O 3x+12

Step-by-step explanation:

3(x + 4) = (3 · x) + (3 · 4)

= 3x + 12

Answer:

y = 3/2x - 5

Step-by-step explanation:

y = 3/2x + b

1 = 3/2(4) + b

1 = 6 + b

-5 = b