The new value after the original value is increased by 30% is 1.3 times the original value.
<h3>
Percentage</h3>
Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:
Percentage = [(new value - original value) / original value] * 100%
Let x represent the new value and y represent the original value, hence:
30% = [(x - y)/y] * 100%
0.3 = (x - y)/y
x - y = 0.3y
x = 1.3y
The new value after the original value is increased by 30% is 1.3 times the original value.
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Answer:
I would use distributive property
Step-by-step explanation:
Wow! I never had problems this hard in middle school!
But you can do it!
First, we need to figure the number of flips Sara can do based on Jenny's.
Jenny = 120 and Sara - 120 x 3/8 (because she is only 3/8 of Sara's)
Calculate 120 x 3/8 = 45 flips
Now we know that Sara increased her amount of flips by 3 (45 +3 = 48)
And we know that Jenny decreased hers by 12 (120 - 12 = 108)
So now we have a ratio of 48:108, but we need to simplify that with factoring.
I am going to divide first by 2.
24:54
Then 2 again...
12:27
How about 3?
4:9
I think that is as far as we can go.
Sara is now doing 4 out of every 9 that Jenny does.
Check it!
108 (Jenny) x 4/9 = 48 (Sara) Yes! It checks.
Answer:
r = 55.2 cm
Step-by-step explanation:
the arc length is calculated as
arc = circumference × fraction of circle
= 2πr × ( r is the radius )
given arc = 63.48π , then
2πr × = 63.48π ( cancel 2π on numerator/ denominator )
r × π = 63.48π ( divide both sides by π )
= 63.48 ( multiply both sides by 20 to clear the fraction )
23r = 1269.6 ( divide both sides by 23 )
r = 55.2 cm
For cases like these, we need to find the base then multiply it by the height. Let’s separate the triangle and the rectangle of the base
Triangle:
1/2(6*9) = 27
Rectangle:
5 * 9 = 45
Total base:
45+ 27 = 72
Now for the area:
72 * 12 = 864 m^3
864 m^3 would be the volume.