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Lyrx [107]
3 years ago
9

Juliana made one container of berry punch and served it to her friends at a picnic. The container served 8 people. What would be

a reasonable amount of liquid in the container?
Mathematics
1 answer:
LiRa [457]3 years ago
8 0

Answer:64 ounces

Step-by-step explanation:

average is 8 ounces per serving

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Simplest form of 14/63
kupik [55]

Answer:

2/9

Step-by-step explanation:

5 0
3 years ago
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What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
8. (08.03 LC)
Luba_88 [7]

Answer: No solution

Step-by-step explanation:

The red line is y=3x+7 and the blue line is y=3x+2

The lines do not intersect at any time. Therefore, this set of equations has no solution. I hope this helps! Pls mark brainliest!! :)

7 0
2 years ago
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
xxMikexx [17]

i think its 92 yd

Hopefully its right

3 0
2 years ago
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Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.
Alex_Xolod [135]

Answer:

m<1 = 39°

m<3 = 180-90-39= 51°

Step-by-step explanation:

Lines AC and DB are diagonals and always meet at right angles.

Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

3 0
2 years ago
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