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SVEN [57.7K]
3 years ago
10

Help with understanding proportions

Mathematics
1 answer:
maksim [4K]3 years ago
7 0

Answer:

Look at it like this.

For every 2 cups of raisin... 9 cups of trail mix is used

When she uses 12 cups raisin.... How many cups of trail Mix will she use?

The first sentence gives a ratio of 2:9

or 1:9/2

So another interpretation of the sentence... For every 1 cup of raisin... She uses 9/2 cups of trail mix.

Therefore.... when she uses 12 cups of raisins....

She'll have to use

12 x 9/2 cups of trail mix

=54 cups of trail Mix.

ANOTHER APPROACH!

For Every 2cups of raisins... There's 9 cups of trail mix.

When she uses 12 cups of raisins.... There'll be...

2 ----- 9

12 -----x

Cross multiply (in a way)

x = 12 x 9/2

x = 54 cups of trail mix.

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Andre45 [30]
F(x)=2x+4/3

Replace f(x) by y:
y=2x+4/3

Solving for x:
y-4/3=2x+4/3-4/3

Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x

Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6

Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6   Inverse function

Then, for x=6 
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3

Her hair will have grown 6 after 7/3 = 2.33 months


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3 years ago
ONE HUNDRED LOTTERY TICKETS ARE SOLD FOR $5.00 EACH. ONE PRIZE OF $300
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2 years ago
Help me pleaseeeeeeee
LiRa [457]

Answer:

x = -4/3 or x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2−x−12=0

Step 1: Factor left side of equation.

(3x+4)(2x−3)=0

Step 2: Set factors equal to 0.

3x+4=0 or 2x−3=0

x = -4/3 or x = 3/2

<u>Answer:</u>

x = -4/3 or x = 3/2

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2 years ago
Can you help me with this ASAP? I have a huge test in 2 hours and I’m freaking out because I can’t understand this! 20 POINTS FO
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Answer:

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ok so 6 *6*6= 216

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let me know if this helps ya.

Step-by-step explanation:

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