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Define the numbers
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First the first odd integer be x.
1st odd = x
2nd odd = x + 2
3rd odd = x + 4
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Form the equation and solve for x
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5(x + 4) - 94 = x + 2
5x + 20 - 94 = x + 2
5x - 74 = x + 2
5x - x = 2 + 74
4x = 76
x = 19
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Find the 3 consecutive integers
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1st = x = 19
2nd = x + 2 = 19 + 2 = 21
3rd = x + 4 = 19 + 4 = 23
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Answer: The 3 consecutive odd numbers are 19, 21 and 23
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y = -4x
When x = 4, y = -16
When y = 20, x = -5
Step-by-step explanation:
First off, definitions: Direct variations refers to two variables being related with neither being the denominator of a fraction. (nothing along the lines of y = 1/x)
So, given that, I simply found what the ratio was between the two values. Something like buying gas at the gas station. The ratio between the gas you get and the money you pay is the price per gallon of gas. In this case, the proportion is -4 (-16 divided by 4).
Thus we have a relationship. For each y, you have negative four x's. Thus, y = -4x.
Finding the value of x when y = 20 simply requires plugging values in. Remember, a fundamental principle in all of Algebra is substitution. If two things are equal, they are interchangeable. So, if you saw "3 + 4" in a mathematical expression, you could simply erase it and write 7, so long as no other mathematical rules (multiplication before addition, for instance) interferes.
Thus, if y = 20, we can take our original equation and replace y with 20.
y = -4x => 20 = -4x
Then, simply solve for x, keeping in mind that when two items in math are written against each other, it means multiplication. Thus, we reverse the multiplication to division and divide both sides of the equation by -4.
20 / -4 = -5
Answer:
gh=F
Step-by-step explanation:
h=F/g
multiply g to the other side
gh=F
Answer:
-117
Step-by-step explanation:
So, basically all you have to do is use the absolute values in order to use order of operations and simplify it along with the multiplied grouping.
Hope this helps :)
The area for 27 is 64cm^2.
For the mean, you add up all the numbers then divide by how many numbers there are. So you would do 45+96+100+39+50 and divide it by 5. So your mean is 66.
Now for 29.
For when n=5 is 8
For when n=8 is 14
For when n=14 is 26
Hope this helps!
