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Step2247 [10]
3 years ago
6

To clean a fish tank, 2/3 cup of disinfectant is needed for every 3 gallons of water. How many cups of disinfectant is needed fo

r 36 gallons of water? (Hint: set up a proportion!)
Mathematics
1 answer:
slamgirl [31]3 years ago
3 0

Answer:

8 cups disinfectant per 36 gallons of water

Step-by-step explanation:

Yes, set up an equation of ratios:

 2/3 cup disinfectant          3 gallons water        1

--------------------------------  =  -------------------------- = -----

                x                          36 gallons water      12

Cross multiplication yields  12(2/3 cup disinfectant) = 1x, so that:

x = 8 cups

8 cups of disinfectant are needed to make a solution involving 36 cups water.

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Do the ratios 2-4 and 14-7 form a proportion
Nadya [2.5K]

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3 0
3 years ago
Read 2 more answers
32<br> what value of x is the equation 2^2x+ 7 = 2^15true?
Talja [164]

Value of x = 7.499

Step-by-step explanation:

We need to find value of x in the equation: 2^{2x}+ 7 = 2^{15}

This can be solved using natural log

Solving:

2^{2x}+ 7 = 2^{15}

Subtract 7 from both sides:

2^{2x}+ 7-7 = 2^{15}-7

Simplifying:

2^{2x}=32768-7

2^{2x}=32761

Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))

So,

ln(2^{2x})=ln(32761)

Applying log rule: logₐ(x^b)= b logₐ(x)

2x(ln(2))=ln(32761)

Divide both sides by 2ln(2)

2x(ln(2))=[tex]\frac{2x(ln(2))}{2(ln(2))}=\frac{ln(32761)}{2(ln(2))} \\x=\frac{ln(32761)}{2(ln(2))}\\Rewriting\,\,32761\,\,as 181^2\\x=\frac{ln(181^2)}{2(ln(2))}\\x=\frac{2ln(181)}{2(ln(2))}\\x=\frac{ln(181)}{ln(2)}\\x=7.499

So, Value of x = 7.499

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

3 0
4 years ago
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