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Mariana [72]
3 years ago
7

A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If

6 ounces of coconut oil and 5 ounces of beeswax are used to create the lip balm mixture, which values represent a and b in the table?
Mathematics
2 answers:
Volgvan3 years ago
8 0

Answer:

The answer is:

1.  3.00

2. 10.00

Hope this helps!!! :)

KonstantinChe [14]3 years ago
4 0
6×0.5=3 a=3
5*2=10 b=10
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Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the
Katarina [22]

Answer:

The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.

Step-by-step explanation:

Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.

The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.

Being:

  • demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ x=\frac{50 - p}{6}
  • the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ x=\frac{p-14}{6}

Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:

\frac{50 - p}{6}=\frac{p-14}{6}

Solving, you get:

6*\frac{50 - p}{6}=p-14

50 - p= p -14

50 - p +14 = p

50 +14= p + p

64= 2*p

p=\frac{64}{2}

P=32 dollars

This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:

  • demand equation:  x=\frac{50 - 32}{6} ⇒ x= 3 Thousand units
  • the supply equation  x=\frac{32-14}{6} ⇒ x=3 Thousand units

So, <u><em>the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.</em></u>

In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.

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Find the value of x that satifies the equation sin (4x+14)° = cos (-3x + 73)°
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A retailer who sells backpacks estimates that by selling them for x dollars each, she will be able to sell 100−x backpacks each
zvonat [6]

Answer:

x = 50

R = $2500

Step-by-step explanation:

Given in the question a quadratic equation,

−x² + 100x

To find the selling price, x, which will give highest revenue, y, we will find maximum value of parabola curve −x² + 100x

The value of -b/2a tells you the value x of the vertex of the function

−x² + 100x

here a = -1

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Selling price = -(100)/2(-1)

                    =   50

 

R = −(50)² + 100(50)

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You and a friend tutor for a total of 12 hours. Use the tape diagram to find how many hours you tutor.
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3X3=9

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