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user100 [1]
2 years ago
10

A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount xx (in dollars) the res

taurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Mathematics
1 answer:
Gennadij [26K]2 years ago
5 0
Total earned Friday = $1445
Total earned Saturday = $1624
Earnings Sunday - $xxx

Average over 3 day period = $1500
Therefor total over 3 day = $1500 x 3 = $4500
So earnigs friday + Saturday = $1445 + $1624 = $3069
                                                   $4500 - $3069 = $1431 earned on Sunday
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Snezhnost [94]
We are given that the elevator is descending, so the coefficient of t must be negative. The elevator's initial position is 500 feet above the ground, so this is a positive value of +500. Therefore the only choice that fits these is h(t) = -5t + 500.
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2 years ago
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What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12What is the value of a in the equ
Mama L [17]

Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x+8y= 40

wen y= 0.8

4x+8×0.8=40

4x=40-8×0.8

4x= 40- 6.4= 33.6

....x= 33.6/4 = 8.4

2. 3a+b= 54

wen b= 9

3a+ 9= 54

3a= 54- 9

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2 years ago
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A cardboard box without a lid is to have a volume of 16,384 cm3. Find the dimensions that minimize the amount of cardboard used.
Reika [66]

Answer:

The dimensions that minimize the amount of cardboard used is

x = 31 cm ,  y = 34 cm & Z = 15.54 cm

Step-by-step explanation:

Volume of the cardboard = 16,384 cm^{3}

The function that represents the area of the cardboard without a lid is given by

f (x,y,z) = xy + 2xz + 2yz ------  (1)

Volume of the cardboard with sides x, y & z is

xyz = 16384

z =  \frac{16384}{xy}

Put this value of z in equation (1) we get

f (x,y,z) = xy + 2x(\frac{16384}{xy} ) + 2y(\frac{16384}{xy} )

f (x,y,z) = xy + \frac{32768}{y}  + 2y(\frac{32768}{x} )

Differentiate above equation with respect to x & y we get

f_{x}  = y - \frac{32768}{x^{2} }

f_{y}  = x - \frac{32768}{y^{2} }

Take f_{x}  = 0 \ and  \ f_{y} = 0

y - \frac{32768}{x^{2} } = 0

y = 32768 \ x^{-2}  ------ (2)

x - \frac{32768}{y^{2} } = 0

x = 32768 \ y^{-2}  ------- (3)

By solving equation (2) & (3) we get

x^{3} = 32768

x = 31 cm

From equation 2

y = 32768 \ x^{-2}

y = 32768 (31^{-2})

y = 34 cm

z =  \frac{16384}{xy}

z =  \frac{16384}{(34)(31)}

Z = 15.54 cm

Thus the dimensions that minimize the amount of cardboard used is

x = 31 cm ,  y = 34 cm & Z = 15.54 cm

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Let us say that:

o = cost of oranges per pound

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Therefore:

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So 3 pounds of pears would cost:

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Answer: 17.7

Step-by-step explanation:

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