X = 200 because when finding 10% of s number we divide the number to 10. then you find 23 percent of 200. which is 46, because percentages are found out of 100 and 200 is 100 multiplied by 2. So we have to multiply 23 by 2. the answer is 46.
The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48
The given sequence is:
1,-1,-3, . . -13
and there are 8 terms.
The related series of this sequence is:
1-1-3-5- ... -13
Notice that the series is an arithmetic series with:
first term, a(1) = 1
common difference, d = -1 - (1) = -2
last term, a(8) = -13
To find the sum of the series, use the sum formula:
S(n) = n/2 [(a(1) + a(n)]
Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:
S(8) = 8/2 [1 + (-13)]
S(9) = 4 . (-12) = -48
Learn more about sum of a series here:
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80
<span>Using the rule of 3, 60x100% =6000(obviously) and 6000/75 = 80</span>
An equilateral triangle sides are all equal to each other. This means that is one side of an equilateral triangle is x + 3 then the sides of the other two triangles as also each x + 3
The formula for perimeter of a triangle is:
Perimeter = side 1 + side 2 + side 3
Or in the case of an equilateral triangle it would be:
Perimeter = 3(side)
This means that for the formula of this equilateral triangle you have:
Perimeter = 3(x + 3)
If asked the three out side of the parentheses can be distributed, meaning that you multiply the outside number (in this case that is 3) to all the number inside the parentheses (in this case that is x and 3)
Perimeter = (3 * x) + (3*3)
Perimeter = 3x + 9
Both of these are correct:
P = 3(x + 3)
P = 3x + 9
Hope this helped!
~Just a girl in love with Shawn Mendes
