Let the both the parts be 'x' and 'y'
x>y
We know that 4x = 5y
so x = 5y/4
x + y = 54
Replacing x we get
(5y/4) + y = 54
(5y +4y)/4 = 54
9y = 216
y = 24
Replacing y in ' x+y = 54'
we get x = 30
Hence the larger part is 30 whereas the smaller part is 24
Answer:
2
Step-by-step explanation:
We can write a proportion to determine
42 people 6 people
---------------- = ----------------
14 boats x boats
Using cross products
42x = 6*14
42x =84
Divide each side by 42
42x/42 = 84/42
x = 2
They will need 2 boats
You have to first mess around with the first shape, ABCD, and split that into a rectangle and a right triangle. once you do that, it's pretty painstaking, but simple.
if you look at it you can tell that EFGH is just half the size, but the same ratios and everything.
So, you would just take every perimeter measurement from ABCD, and divide it by two and then sum them together.
2.5 + 1.5 + 4.0 + 2.0 = 10
<h3>The projected amount the average American spent on health care in 2014 is $ 10075.91</h3>
<em><u>Solution:</u></em>
Given that,
The average American spent $8,508 on health care in 2011
The cost of health care is projected to rise about 5.8% per year for the years 2012-2022
<em><u>The increasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is growth rate in decimal
t is number of years
From given,
a = 8508
t = 2011 to 2014 = 3 years
<em><u>Substituting the values, we get,</u></em>
Thus the projected amount the average American spent on health care in 2014 is $ 10075.91
