Answer:
see explanation
Step-by-step explanation:
∠ 4 and ∠ 6 are same- side interior angles and supplementary, sum to 180°
At the end of the third year the population of beetles will be 11,576beetles
<h3>Exponential equations</h3>
The standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: brainly.com/question/12940982
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Answer: 6 people ordered for the lobster dinner.
2 people ordered for the steak dinner.
Step-by-step explanation:
Let x represent the number of people that ordered the lobster dinner.
Let y represent the number of people that ordered the steak dinner.
A family of 8 went out to dinner. This means that
x + y = 8
Each person either ordered the lobster dinner, which costs $25, or the steak dinner which cost $20. The total cost of all the meals is $190. This means that
25x + 20y = 190 - - - - - - - - - -- -1
Substituting x = 8 - y into equation 1, it becomes
25(8 - y) + 20y = 190
200 - 25y + 20y = 190
- 25y + 20y = 190 - 200
- 5y = - 10
y = - 10/ - 5
y = 2
x = 8 - y = 8 - 2
x = 6
Hi there....
-6m - 8 = 24
-6m = 24 + 8
-6m = 32
m = 32/-6
m = -16/3
or if they ask you for decimal, it will be m= -5.33
