3x + 2x = 5x
5x = 10
5x/5= 10/5
X=2
For question number one:
We know that in similar triangles, corresponding sides are proportional.
In this scenario we have two triangles- one made by a stop sign and a shadow and one by a tree and its shadow.
The side of the triangle that is represented by the shadow of the stop sign is proportional to the side of the larger triangle represented by the shadow of the tree.
Also, the side of the smaller triangle that is represented by the height of the stop sign is proportional to the side of the bigger triangle represented by the height of the tree.
Using this information we can conclude that 12/42=18/h
By cross multiplying: 12h=42(18)
solve for h: (42)(18)/(12)=h
calculate: h=63
The height of the tree is 63 ft.
Answer: 7/10
Explanation:
Find the common denominator:
Since 2/5 and 3/10 has a common of denominator of ten, solve.
2/5 + 3/10 = 2/5 * 2/2 = 4/10 + 3/10 = 7/10
Therefore, the sum of 2/5 + 3/10 = 7/10
Answer:
The value of the acount after t years is of 
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that 
. So
The value of the acount after t years is of
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
Answer:
x−2/x+3
Step-by-step explanation:
(x−3)(x−2)/(x+3)(x−3)
so (x−3) will be cancelled from both denominator and nominator
(x−2)/(x+3)
