Jun used 56cm of ribbon to go around the edge of a rectangular lid. The lid was 13 cm long. What is the width of the lid?

The width of the rectangular lid is 15 cm.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of the ribbon used by Jun = 56 cm

Length of the rectangular lid = 13 cm

2. What is the width of the lid?

The ribbon used by Jun is equivalent to the perimeter of the rectangular lid, therefore:

Perimeter = 2 * Length + 2 * Width

Replacing with the values we have:

56 = 2 * 13 + 2 * Width

56 = 26 + 2Width

2Width = 56 - 26

2Width = 30

Width = 30/2

Width = 15

The width of the rectangular lid is 15 cm.

15 cm

Step-by-step explanation:

To solve this problem, you need to use the formula for the perimeter of a rectangle because perimeter is the measure of all of the sides in a shape. In this case, Jun wrapped 56 cm of ribbon around the perimeter of the rectangular lid.

Substitute:

P = 2l + 2w

56 = 2(13) + 2w

Multiply:

56 = 2(13) + 2w

56 = 26 + 2w

Subtract 26 on both sides:

56 = 26 + 2w

-26   -26

30 = 2w

Divide by 2 on both sides:

30 = 2w

/2     /2

15 = w

step-by-step explanation:

there are 36 inches in a yard

25 : 36 = 0.69 yards (you can round to 0.70)

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: