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noname [10]
3 years ago
13

Gavin drank 3/4 of a liter of orange juice from a container, which was 3/8 of the orange juice that was originally in the contai

ner. How much orange juice was originally in the container?
Mathematics
1 answer:
Sliva [168]3 years ago
7 0
X= amount of orange juice in the beginning
3/4=(3/8)X
.75=.375X
.75/.375=X
X=2
there were 2 liters in the beginning 
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Find the inverse of the following functions f(x)=6-3x g(x)=x+2
astraxan [27]
      f(x) = -3x + 6
          y = -3x + 6
          x = -3y + 6
     x - 6 = -3y
       -3       -3
⁻¹/₃x + 2 = y
⁻¹/₃x + 2 = f⁻¹(x)

 g(x) = x + 2
     y = x + 2
     x = y + 2
x - 2 = y
x - 2 = g⁻¹(x)
4 0
3 years ago
Read 2 more answers
EF is the median of trapezoid ABCD.
BARSIC [14]

Answer:

Part A) x = 11

B) length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 18 =  3(11) - 4 = 33 - 4 =29

Step-by-step explanation:

Median of trapezium is m=\frac{base1+base2}{2}

In provided figure, base1 is x+12 and base2 is 3x-4

A) solve for value of x

calculate the median m=\frac{base1+base2}{2}

4x-18=\frac{x+12+3x-4}{2}

4x-18=\frac{4x+8}{2}

4x-18=2x+4

2x-18=4

2x = 18 + 4

2x = 22

x = 11

B) To find the length of BC, AD and EF , put the value of x in equation of lines

length of BC =  x + 12 =  x + 12 = 11 + 12 =23

length of EF =  4x - 18 =  4(11) - 18 = 44 - 18 =26

length of AD =  3x - 4 =  3(11) - 4 = 33 - 4 =29

5 0
3 years ago
A deer population is declining by 2.2% per year. The population can be modelled using the formula p = 240(0.978)n , where P is t
ale4655 [162]

Answer:

The current deer population is 240.

Step-by-step explanation:

The expression given models a exponential decay follows:

p(n) = 240*(0.978)^n

For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:

p(0) = 240*(0.978)^0\\p(0) = 240*1 = 240

The current deer population is 240.

3 0
3 years ago
Whoever gets this correct first gets brainlest!!
nika2105 [10]

D. f(x)=4 (5/2)^x

Are really good tool for graphing problems is Demos.com

4 0
3 years ago
The skateboard ramp has a width of 20 and a height of 16. What is its slope ( not to scale) ?​
slega [8]

Answer:

25.61 ?

Step-by-step explanation:

use Pythagoreans theorem

a^2+b^2=c^2

20^2+16^2=656

sqrt 656=25.61

4 0
2 years ago
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