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vaieri [72.5K]
3 years ago
8

A miniature golf course charge different prices for adults and children on Saturday 50 adults and 50 children played Andy Golf C

ourse earned $800 on Sunday 65 adults in 75 children play and the golf course earned $1,100. How much does a golf course charge for adults?
Mathematics
2 answers:
Arada [10]3 years ago
8 0

Answer: The golf course charge $10 for adults

Step-by-step explanation:

Let x represent the amount that the golf course charge for adults.

Let y represent the amount that the golf course charge for children.

On Saturday, 50 adults and 50 children played and Andy Golf Course earned $800.

This means that

50x + 50y = 800 - - - - - - - - - - - -1

On Sunday, 65 adults in 75 children play and the golf course earned $1,100. This means that

65x + 75y = 1100 - - - - - - - - - - 2

Multiplying equation 1 by 65 and equation 2 by 50, it becomes

3250x + 3250y = 52000

3250x + 3750y = 55000

Subtracting, it becomes

- 500y = - 3000

y = - 3000/ - 500

y = 6

Substituting y = 6 into equation 1, it becomes

50x + 50 × 6 = 800

50x + 300 = 800

50x = 800 - 300 = 500

x = 500/50

x = 10

grin007 [14]3 years ago
5 0

Answer:$9.00

Step-by-step explanation:

because you take 50 +50 =100 OK then u add 800 to it and it will give you 900 then you change that into the percent in calculus form and it will give you $9.00

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Which of the sets shown includes the elements of set Z that are both odd numbers and multiples of 7?
vesna_86 [32]

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

4 0
3 years ago
Which is equivalent to 3(x-4)-3(2x-7)=23
adelina 88 [10]

Answer:

x=-\frac{14}{3}

Step-by-step explanation:

3x-12-6x+21=23

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-3x=14

x=-\frac{14}{3}

4 0
2 years ago
Fraction simplifier de <img src="https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B35%7D" id="TexFormula1" title="\frac{15}{35}" alt="\f
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3 0
3 years ago
A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must h
mestny [16]

Answer:

Radius =6.518 feet

Height = 26.074 feet

Step-by-step explanation:

The Volume of the Solid formed  = Volume of the two Hemisphere + Volume of the Cylinder

Volume of a Hemisphere  =\frac{2}{3}\pi r^3

Volume of a Cylinder =\pi r^2 h

Therefore:

The Volume of the Solid formed

=2(\frac{2}{3}\pi r^3)+\pi r^2 h\\\frac{4}{3}\pi r^3+\pi r^2 h=4640\\\pi r^2(\frac{4r}{3}+ h)=4640\\\frac{4r}{3}+ h =\frac{4640}{\pi r^2} \\h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Area of the Hemisphere =2\pi r^2

Curved Surface Area of the Cylinder =2\pi rh

Total Surface Area=

2\pi r^2+2\pi r^2+2\pi rh\\=4\pi r^2+2\pi rh

Cost of the Hemispherical Ends  = 2 X  Cost of the surface area of the sides.

Therefore total Cost, C

=2(4\pi r^2)+2\pi rh\\C=8\pi r^2+2\pi rh

Recall: h=\frac{4640}{\pi r^2}-\frac{4r}{3}

Therefore:

C=8\pi r^2+2\pi r(\frac{4640}{\pi r^2}-\frac{4r}{3})\\C=8\pi r^2+\frac{9280}{r}-\frac{8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{24\pi r^2-8\pi r^2}{3}\\C=\frac{9280}{r}+\frac{16\pi r^2}{3}\\C=\frac{27840+16\pi r^3}{3r}

The minimum cost occurs at the point where the derivative equals zero.

C^{'}=\frac{-27840+32\pi r^3}{3r^2}

When \:C^{'}=0

-27840+32\pi r^3=0\\27840=32\pi r^3\\r^3=27840 \div 32\pi=276.9296\\r=\sqrt[3]{276.9296} =6.518

Recall:

h=\frac{4640}{\pi r^2}-\frac{4r}{3}\\h=\frac{4640}{\pi*6.518^2}-\frac{4*6.518}{3}\\h=26.074 feet

Therefore, the dimensions that will minimize the cost are:

Radius =6.518 feet

Height = 26.074 feet

5 0
3 years ago
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