How many pieces 3 and three fifths in. long can be cut from 28 metal rods each 15 in. long? disregard waste.

112 pieces

Step-by-step explanation:

1. Rewrite as a decimal. Divide the numerator and the denominator of the fractional part and add it to the integer part:

2. You know that each metal rod is 15 inches long. Then, you must divide the lenght of each one by 3.6:

3. The waste is 0.16, therefore, you obtain 4 pieces from a metal rod. The total pieces obtained from 28 metal rods are:

116 whole pieces

Step-by-step explanation:

We have a 28 metal rods that are 15 inches long each, out of which we need to cut inches long metal rods.

Firstly, we will convert the mix fraction into improper fraction and then divide the total length of the rod by it.

inches = inches

Dividing the total length of rod by this length and multiplying it by 28 to get:

= =

Therefore, 116 whole pieces can be cut from the given length of rod.

eve and marks ratios are equivalent

step-by-step explanation:

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: