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ludmilkaskok [199]
3 years ago
8

What is the solution to the equation below?

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Answer:

\large\boxed{A)\ x=-4}

Step-by-step explanation:

\dfrac{x}{4}=\dfrac{x+1}{3}\qquad\text{cross multiply}\\\\3x=4(x+1)\qquad\text{use the distributive property}\\\\3x=4x+4\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\-x=4\qquad\text{change the signs}\\\\x=-4

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You have 8 gallons of lemonade to sell. You use cone-shaped cups that are 9 centimeters in diameter and 12 centimeters tall. Eac
andre [41]

You will need 119 cups to sell all of the lemonade.

Step-by-step explanation:

Given,

Diameter of cups = 9 cm

Radius of cup = \frac{Diameter}{2}=\frac{9}{2}=4.5\ cm

Height of cups = 12 cm

We will find volume of cup.

Volume = \frac{1}{3}\pi r^2h\\

Putting all the values

Volume=\frac{1}{3}(3.14)(4.5)^2(12)\\\\Volume=\frac{1}{3}(3.14)(20.25)(12)\\\\Volume= \frac{763.02}{3}\\\\Volume= 254.34\ cm^3

Therefore;

Each cup can hold 254.34 cubed centimeter of lemonade.

Number of gallons = 8

1 gallon = 3785 cm³

8 gallons = 3785*8 = 30280 cm³

Let,

x = Number of cups

Volume of lemonade in one cup * Number of cups = Volume of 8 gallons

254.34x=30280

Dividing both sides by 254.34

\frac{254.34x}{254.34}=\frac{30280}{254.34}\\x=119.05

Rounding off to nearest whole number

x = 119

You will need 119 cups to sell all of the lemonade.

Keywords: volume, division

Learn more about volume at:

  • brainly.com/question/1836777
  • brainly.com/question/1993757

#LearnwithBrainly

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2 years ago
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