In the previous activities, we constructed a number of tables. Once we knew the first numbers in the table, we were often able to predict what the next numbers would be. Whenever we can predict numbers in one row of a table by multiplying numbers in another row of a table by a given number, we call the relationship between the numbers a ratio. There are ratios in which both items have the same units (they are often called proper ratios). For example, when we compared the diameter of a circle to its circumference, both measured in centimeters, we were using a same-units ratio. Miles per gallon is a good example of a different-units ratio. If we did not specifically state that we were comparing miles to gallons, there would be no way to know what was being compared!
When both quantities in a ratio have the same units, it is not necessary to state the unit. For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies. If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent). How do we get this? One way would be to build a table where the second row was always one and a half times as much as the first row. This is the method we used in the first two lessons. Another way is to express the items being compared as a fraction complete with units:
<span>6 ounces
9 ounces</span>Notice that both numerator and denominator have the same units and thus we can "cancel out" the units. Notice also that both numerator and denominator have values that are divisible by three. When expressing ratios, we generally treat them like fractions and "reduce" or simplify them to the smallest numbers possible (fraction and colon forms use two numbers, as a 3:1 ratio, whereas the decimal fraction form uses a single number—for example, 3.0—that is implicitly compared to the whole number 1).<span>
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Answer:
240 minutes or 4 hours
Step-by-step explanation:
So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.
If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.
Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.
So you have 45/80 and 45/120.
Now add both fractions by finding the lowest common denominator which is 240.
135/240 + 90/240 = 225/240
So Mack did the remaining 15/240.
Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.
Then multiply
15 x 16 = 240
so it would take him 240 minutes or 2 hours.
Answer:
The triangles SYX and SYZ are congrient so by CPCTC 
, 
and 
.
Step-by-step explanation:
Given information: YS is the perpendicular bisector of XYZ.
In triangle YXS and triangle YSZ,
(YS is the perpendicular bisector of XYZ)
(Common side, Reflexive property)
(YS is the perpendicular bisector of XYZ)
By ASA postulate,
The corresponding parts of congruent triangles are congruent. so,
Answer:
If you have to share 2 by 3 equally then that is saying divide, when you divide you get .6666 but if you turn it into a fraction it 2 over 3
Answer:
Length - 12
Width - 7
Step-by-step explanation:
38 = 2((5+x) + x)
38 = 10 +4x
28=4x
x=7
7+5=12
