Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is $12$ feet long, and each strand of his Christmas lights will wrap around a $70$ -inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing? $\newline$ A) $6$ $\newline$ B) $7$ $\newline$ C) $8$ $\newline$ D) $9$

View step-by-step help

View step-by-step help

Write equations of cosine functions using properties

Full solution

Q. Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

A)

6

\newline

B)

7

\newline

C)

8

\newline

D)

9

Calculate total length: Calculate the total length of the railing around three sides of the square porch. $\newline$ Since one side of the porch is $12$ feet long, the total length of the railing around three sides is $3$ times the length of one side. $\newline$ Total length $= 3 \times 12$ feet $\newline$ Total length $= 36$ feet
Convert to inches: Convert the total length from feet to inches. $\newline$ There are $12$ inches in a foot, so to convert feet to inches, we multiply by $12$ . $\newline$ Total length in inches = $36$ feet $\times 12$ inches/foot $\newline$ Total length in inches = $432$ inches
Determine strands needed: Determine how many strands of lights are needed. $\newline$ Each strand covers $70$ inches of the railing. To find out how many strands are needed, divide the total length of the railing in inches by the length that one strand covers. $\newline$ Number of strands $= \frac{\text{Total length in inches}}{\text{Length one strand covers}}$ $\newline$ Number of strands $= \frac{432\,\text{inches}}{70\,\text{inches}}$ $\newline$ Number of strands $= 6.1714\ldots$
Round up to whole number: Round up to the nearest whole number since Kris cannot use a fraction of a strand. $\newline$ Kris needs at least $7$ strands because you cannot have a fraction of a strand and he needs to cover the entire railing.

More problems from Write equations of cosine functions using properties

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

\left(\pi, -1\right)

\newline

Write your answer in the form

f(x)=A\cos(Bx+C)+D

A

B

C

D

are real numbers.

\newline

f(x)=

Posted 7 months ago

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

\left(-\frac{\pi}{2},-1\right)

. Write your answer in the form

f(x) = A\sin(Bx + C) + D

A

B

C

D

are real numbers. `f(x)` =______

Posted 8 months ago

Question

Find an equation for a sinusoidal function that has period

2\pi

1

, and contains the point

(0,-1)

\newline

Write your answer in the form

f(x) = A\cos(Bx + C) + D

A

B

C

D

are real numbers.

\newline

f(x) =

Posted 8 months ago

Question

Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought

10

cans of food, and each student brought

2

cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought

3

cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class

y

in terms of the number of students

x

Posted 8 months ago

Question

Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought

10

cans of food, and each student brought

2

cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought

3

cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class

y

in terms of the number of students

x

Posted 8 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmes lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 8 months ago

Question

For a given input value

b

f

outputs a value

a

to satisfy the following equation.

\newline

4a+7b=-52

\newline

Write a formula for

f(b)

b

\newline

f(b)=\square

Posted 5 months ago

Question

For a given input value

x

g

outputs a value

y

to satisfy the following equation.

\newline

-4x-6=-5y+2

\newline

Write a formula for

g(x)

x

\newline

g(x)=\square

Posted 9 months ago

Question

For a given input value

a

f

outputs a value

b

to satisfy the following equation.

\newline

-3a+6b=a+4b

\newline

Write a formula for

f(a)

a

\newline

f(a)=\square

Posted 9 months ago

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 25 days ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant