What's 2/8 divided by 5/16 simplified in fraction form?
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The division of 2/8 by 5/16, simplified as a fraction, is 4/5.
To divide 2/8 by 5/16, we multiply 2/8 by the reciprocal of 5/16.
Reciprocal of 5/16 is 16/5.
So, (2/8) ÷ (5/16)
= (2/8) × (16/5)
2/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.
2/8 = (2/2) / (8/2) = 1/4
Now we have:
(1/4)×(16/5)
To multiply fractions, we simply multiply the numerators and multiply the denominators:
(1 × 16) / (4 × 5) = 16/20
The fraction 16/20 can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4.
16/20 = (16/4) / (20/4) = 4/5
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Answer:
As city planner, I will be responsible for carrying out the plans. We will need to hire a construction company and road crews to build the roundabout. We will also need to purchase materials and equipment for digging up and repaving the road. The change will occur at the start of the year.
Step-by-step explanation:
2020e said so :D
Answer:
The committee I am part of and animal control will be responsible for implementing the change. We will need to hire veterinarians or get some to volunteer to do the spaying and neutering, and we will need to recruit volunteers to capture stray pets. We will also have to have places to carry out the operations. The program will go into effect at the start of the new year.
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to do that, we do
the number in front of the x^2 is 1
then take 1/2 of the number in front of the x term and square it and that is the constant term
12/2=6 6^2=36
36=c
x^2+12x+36=0
(x+6)^2=0
x+6=0
x=-6
Final answer:
In the quadratic equation x² + 12x + c = 0, for the equation to have exactly one solution, the discriminant should be zero. Substituting the given values into the discriminant (b² - 4ac = 0) and solving for 'c', we find that when c = 36, the equation will have exactly one solution.
Explanation:
The equation x² + 12x + c = 0 is a quadratic equation, and usually a quadratic equation has two solutions. The formula for finding the solutions is given by -b ± √(b² - 4ac) / 2a. In this equation, 'a' is 1, and 'b' is 12.
For the equation to have exactly one solution, the term under the square root in the quadratic formula, called the discriminant (b² - 4ac), must be zero because the square root of zero is zero. This results in -b ± 0, effectively leading to a single solution.
So, in order to have only one solution: b² - 4ac = 0. Substituting the given values we get: (12)² - 4(1)c = 0 i.e., 144 - 4c = 0. Solving for c, we get c = 36. Therefore, for c = 36, the equation x² + 12x + c = 0 has exactly one solution.
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Answer:
We are given a inequality with the equality sign in terms of variable 'r' as:
Now we find the solution of the following inequality by solving for 'r'.
We subtract 3 from both side of the inequality to obtain:
Now we multiply both side by "-1" to obtain:
Now on dividing both side of the inequality by 2 we obtain:
Hence, the solution of the inequality are the set of all the points on the number line which are less than equal to -8.
i.e. the shaded region is to the left of -8 and closed circle at -8.
i.e. the solution is: (-∞,-8].
Number 2 graph is the correct graph of the solution.
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I got that the building is 136.9902912...(nonterminating) meters tall. Or you could round that to 137m tall. I got that by setting up ratios of the height and the shadows, then cross multiplying.