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Marina CMI [18]
3 years ago
13

The question is :

Mathematics
1 answer:
vovikov84 [41]3 years ago
3 0
You are correct, the profit is modeled by:
-0.1t² + 6t + 67

We are also told that "t" is the number of years after 2010. So in 2016, the value of t will be 6. We substitute this into the equation we formed:

-0.1(6²) + 6(6) + 67
= 106.6 thousand dollars
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The sum of two numbers is 64. One number is 8 more than the other. What are the two numbers?
lisabon 2012 [21]

Answer:

28 and 36.

Step-by-step explanation:

Alright, so we are given that the sum of two numbers is 64. Based on this, we know that we are going to be adding because the question said "the sum of two numbers is 64." Sum is the answer to an addition problem. Lets write an equation.

We need a variable, let x be the variable which is the value of the smaller number.

the equation is x+x+8=64

x= to the smaller number

x+8= to the number that is eight more than x or the smaller number.

Before we isolate for x, we need to simplify the expression by combining the like terms.

x plus x equals 2x.

Therefore, we have 2x+8=64.

Our goal is to isolate x, so we need to subtract 8 from both sides. 8 mius 8 is 0, and 64 mius 8 is 56.

Now, we have 2x=56.

We still need to isolate x by dividing both sides by 2. 2 divided by 2 is 1, so we are left with 1x or x. 56 divided by 2 is 28.

x=28.

Great, we found what x or the smaller value is.

Now, we need to find the larger number.

Substitute x as 28 into x+8 to find the number that is 8 more than the smaller number or x. You'll then get 36. If you add 36 and 28, you get 64. Also, 36 is 8 more than 28, so this answer is correct.

Hope this helps!

4 0
3 years ago
3 times a number is 54 less than the square of that number. Find the negative solution.
son4ous [18]

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

5 0
3 years ago
Classify each pair of numbered angles.
kifflom [539]
Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.

For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.

For the next one, since the angles only share 1 line (and not a side) they can't be any of the above. 
5 0
3 years ago
Read 2 more answers
What is 9/16 more than 11/12
mixer [17]
11/12 is the greatest fraction
7 0
3 years ago
Will give brainliest to first answer
fiasKO [112]

Answer:

the answer is 1500

Step-by-step explanation:

please give brainlyest

5 0
3 years ago
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