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jarptica [38.1K]
3 years ago
5

Find the percent increase or decrease: 43 to 78

Mathematics
1 answer:
FrozenT [24]3 years ago
3 0

Answer:

81.39% increase.

Step-by-step explanation:

Given: There is change in number from 43 to 78.

First lets find the amount of change or difference in number.

Difference in number= 78-43= 35

∴ Difference in number show that there is an increase of 35 number.

Now, finding the percent change in the number.

Percent= \frac{Difference\ in\ number}{base\ number} \times 100

⇒ Percent change in number= \frac{35}{43} \times 100= 81.39\%

∴ 81.39% increase in the number.

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Find the x-intercept of parabola with vertex (1,-17) and y-intercept (0,16)?
Ad libitum [116K]
Y=a(x-1)^2 -17 is the equation of the parabola.
at (0,16), 16=a(0-1)^2 -17.  Solve for a = 33.
Equation is then y=33(x-1)^2-17 so when y=0,
(x-1)^2 = 17/33
x-1 = + and - square root of 17/33
x = 1.7177 and 0,2823 as the intercepts
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2 years ago
Which rational number equals 0.333...? 1 over 5, 1 over 3, 3 over 10, 3 over 5
lana [24]

Answer:

1/3

Step-by-step explanation:

let x=0.333...

10x=3.333...

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3 0
3 years ago
At a high school the student government is made up of 5 seniors, 4 juniors, 3 sophomores and 2 freshmen. If there are 8 seniors,
hjlf

Answer:

  • 32598720

Step-by-step explanation:

<u>Combination for the school government requires:</u>

  • 5 out of 8 seniors = 8! / 3!5! = 6*7*8/2*3 = 7*8 = 56
  • 4 out of 9 juniors = 9! / 4!5! = 6*7*8*9/2*3*4= 7*2*9 = 126
  • 3 out of 12 sophomores = 12! / 3!9! = 10*11*12/2*3 = 10*11*2 = 220
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<u>So number of total ways is:</u>

  • 56*126*220*21 = 32598720
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