The answer to this question is the second one: "In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor." This is because the percentage equivalent to 1/8 is 12.5%, which you get by cross-multiplying 1/8 and ?/100. Basically, you multiply 1 with 100 (which is 100) and 8 with the unknown variable (8x). You get something that looks like 100 = 8x. Lastly, you divide 8 into both sides, which gets you 12.5. Therefore, your answer is Harriet's error is in Step 2.
<span>Here's another way to look at it.Percent means 'out of one hundred' so....think of it like this...one out of eight is how many out of 100? 1/8 = ?/100 From here you can multiply both sides by 100. On the right side, the 100 on the top will cancel the 100 on the bottom of the fraction because 100/100 = 1 and 1 times anything doesn't change that thing's value. So ?/100 times 100 = just ?On the left side of the equation, we get100 times 1/8. 100 times 1 is 100 so we're left with 100 / 8. We get the answer 12.5 percent. A double check:1 divided by 8 = .125When we substitute the 12.5 for the ? above,12.5 divided by 100 = .125
</span> 1/ 8 = 0.125 = 12.5 % / Same as converting 1/8 of a dollar to cents
First convert it to the decimal number, then Multiply by 100 ( shift decimal point twice to the right) and insert %( divide by 100) .
Answer:
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Step-by-step explanation:
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Answer:
39 pi cubic inches
Step-by-step explanation:
The volume of a cone is (1/3)(area of the base)(height).
Find the area of the circular base. The circumference of a circle is 
, so
Now that you know the radius of the circular base, you can find its area:
The height of the cone is 13. Time to use the volume formula.
The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
- sin(x-30°) = cos 2x
- sin(x-30°) = sin(90°-2x)
- (x-30°) = (90°-2x) + 360°n
- x + 2x = 90° + 30° + 360°n
- 3x = 120° + 360°n
- x = (120° + 360°n)/3
- The general solution (x) is 40° + 120°n.
- g(x) = cos 2x
- The period of cos x is 2π.
- If the multiplying factor of x is 'n', then it decreases the period by n times.
- Here, in g(x), n is 2.
- The period of g(x) is equal to half the period of cos x.
- The period of g(x) = 2π/2
- The period of g(x) is π.
- f(x) = sin(x-30°)
- "Sin" is a trigonometric function which has a range from -1 to 1.
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