A product costs $48.50 for 75 feet. How much does it cost per inch?

Answers

Answer 1
Answer: If you would like to know how much does the product cost per inch, you can calculate this using the following steps:

1 foot = 12 inches
75 feet = 75 * 12 inches = 900 inches

$48.50 ... 75 feet = 900 inches
$x = ? ... 1 inch

48.50 * 1 = 900 * x
48.50 = 900 * x
x = 48.50/900
x = $0.054

The correct result would be $0.054.

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Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over the x-axis. What is the location of point A after the transformations are complete?Kite ABCD is shown. A is at negative 7, 2. B is at negative 5, 3. C is at negative 2, 2. D is at negative 5, 1.

Answers

Answer: The location of A is (-7, 2)

Step-by-step explanation:

When ABCD is rotated 180 degree clockwise about the origin,

Then, By the rotation of 180 degree about origin property,

The coordinates of the transformed kite,

( - 7, 2)\rightarrow ( -(-7), -2)

(- 5, 3)\rightarrow ( -(-5), -3)

( -2, 2)\rightarrow ( -(-2), -2)

( - 5, 1)\rightarrow ( -(-5), -1)

Thus, the coordinates of transformed figure after 180 degree of rotation are ( 7,-2), (5,-3), (2, -2) and (5,-1)

By the reflection over y-axis property,

The coordinates of the transformed kite,

( 7, -2)\rightarrow (-7, -2)

(5, -3)\rightarrow ( -5, -3)

( 2, -2)\rightarrow ( -2, -2)

( 5, -1)\rightarrow ( -5, -1)

Thus, the coordinates of transformed figure after reflected over y axis,

( -7,-2), (-5,-3), (-2, -2) and (-5,-1)

By the reflection over x-axis property,

The coordinates of the transformed kite,

( -7, -2)\rightarrow (-7, -(-2))

(-5, -3)\rightarrow ( -5, -(-3))

( -2, -2)\rightarrow ( -2, -(-2))

( -5, -1)\rightarrow ( -5, -(-1))

Thus, the coordinates of transformed figure after reflected over x axis,

( -7,2), (-5,3), (-2, 2) and (-5,1)

Thus, the location of A after the transformations are complete = (-7,2)






    Coordinates of point A after rotation are A´( 7, -2 ). After reflection over the y -axis coordinates are: A´´(-7, -2).
    Finally, after reflection over the x-axis:  A´´´( - 7 , 2 ).  It is the same as starting point A. 

9 students volunteer for a committee. How many different 6-person committees can be chosen?a. 1 b. 362,880 c. 60,480 d. 84

Answers

9\cdot8\cdot7\cdot6\cdot5\cdot4=60,480\n\nAnswer:D

How can i simplify √320x³

Answers

Answer:

8x * sqrt(5x)

Step-by-step explanation:

Factor 320 into its prime factors: (2^6) * 5

To simplify sqrt we extract factors which are squares and the rest remain inside the root: (2^6) will be extracted (2^6=64) and 5 will remain inside

Take sqrt of factors being extracted: sqrt64= 8

Now it looks like this: 8 * sqrt(5x^3)

SQRT(x^3) is the same as x * SQRT(x)

Therefore, sqrt (320x^3)= 8x*sqrt(5x)

4) What is the slope of the line graphed by the equation y = (-⅓)x - 3?(A) (-1/3)
(B) -3
(C) (1/3)
(D) 3

Answers

SImple,

this line is in the form of y=mx+b..which means that m=slope and b=y-intercept..

Thus, the slope for this line is.... -(1)/(3)

Thus, your answer, A.
y=mx+b
m=slope
y=-1/3x-3

m=-1/3
slope=-1/3

answer is A

a childrens book has dimensions 20cm by 24cm what scale factor should be used to make a enlarged version that has dimensions 25cm by 30cm

Answers

A scale factor of 1.25, also written as 1 1/4 should be used

Why is 296 divided by 6 equals 48 remainder 8

Answers

basically, 296 divided by 6 means 296 cut up into 6 parts
it doesn't divide equally into whole numbers so we have a remainder
we actually have a remainder of 2, not 8 since we have one 6 in 8 so  it actually is
296/6=49 remainder 2