Answer:
1. Write the following as a mixed number.
2. Write as an improper fraction
3. Perform the operation and write the answer in simplest form.
a)4/7*3/11= 12/77
b)6/10 / 12/7= 7/20
c)5 1/7*3 1/9= 16
d)6 3/7 / 1 13/14= 10/3
Hope this helps
Step-by-step explanation:
Answer:
w = 62m
Step-by-step explanation:
We need to make an expression for the numbers of words (w) John types in m minutes.
We know he types 62 words in 1 minute, so 62 is the coefficient of m.
The dependent variable here is w, so that should on the left of the equal sign.
m, on the other hand, is independent, so that's on the right of the equal sign.
So, the expression is w = 62m.
Answer:
45
Step-by-step explanation:
AEF is a similar triangle to ABC. that means it has the same angles, and the sides (and all other lines in the triangle) are scaled from the ABC length to the AEF length by the same factor f.
now, what is f ?
we know this from the relation of AC to FA.
FA = 12 mm
AC = 12 + 28 = 40 mm
so, going from AC to FA we multiply AC by f so that
AC × f = FA
40 × f = 12
f = 12/40 = 3/10
all other sides, heights, ... if ABC translate to their smaller counterparts in AEF by that multiplication with f (= 3/10).
the area of a triangle is
baseline × height / 2
aABC = 500
and because of the similarity we don't need to calculate the side and height in absolute numbers. we can use the relative sizes by referring to the original dimensions and the scaling factor f.
baseline small = baseline large × f
height small = height large × f
we know that
baseline large × height large / 2 = 500
baseline large × height large = 1000
aAEF = baseline small × height small / 2 =
= baseline large × f × height large × f / 2 =
= baseline large × height large × f² / 2 =
= 1000 × f² / 2 = 500 × f² = 500 ×(3/10)² =
= 500 × 9/100 = 5 × 9 = 45 mm²
56.4/100 you always put your beginning number over 100
