Answer:
150 miles
Step-by-step explanation:
Let
x = number of miles
Plan A: 0.60x
Plan B: 75 + 0.10x
How many miles would Susan need to drive for the two plans to cost the same?
0.60x =75 + 0.10x
0.60x - 0.10x = 75
0.50x =75
x = 75/0.50
x = 150 miles
Susan needs to drive for 150 miles for the two plans to cost the same
Let's start with x... Since angle AOE is a 90 degree angle, then we know the supplementary angle EOB is also 90 degrees. The 2 angles that make up angle EOB are given to us as expressions. Added together the must equal 90 degrees...
(x+8) + (2x-8) = 90
3x = 90
x = 30
Now if we look at y, we see it is an opposite angle from angle DOB. Because it is opposite, it is also congruent... so it has to be equal to angle DOB... and since angle DOB is 2x - 8, we can substitute x with the answer we found in the last step, 30, to find the angle.
2x - 8= y
2(30) - 8 = y
60 - 8 = y
y = 52 degrees
Since angle DOB equals 52 degrees, then y = 52 degrees
x = 30 degrees
y = 52 degrees
*Note, you can also find the value of angles GOF and EOD by plugging x (30) into the expressions.
<span>5 x 4
-- -- = </span> 5 × 48 × 15 = 20/120<span><span><span>
8</span> × 15 </span><span>After reducing the fraction, the answer is <span>1/6</span></span></span>
Answer:
9500
Step-by-step explanation:
Scientists tagged 950 pike for a research project about a local lake. Later, they trapped 100 pike, of which 10 had tags. To the nearest whole number, what is the best estimate for the pike population?
The best estimate of a population is calculated as:
= N = mn/k
Where N = Estimate of the population
m = 950 pike
n = 100 pike
k = 10 tags
= 950 × 100/10
= 9500
The best estimate of he population = 9500
