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motikmotik
3 years ago
10

On Saturday, the vacation resort offers a discount on water sports. To take

Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

Let x be the discounting price of a surfing lessons per person

Let y be the discounted price of a surfing lessons per person

The cost of taking a surfing lesson and go parasailing is $130

x + y = 130--------------(i)

25 people take

Surfing lessons, and 30 people go parasailing and a total of $3,650 is collected

25x + 30y = 3650--------------(ii)

We solve for y using equ (i):

y = 130 - x ------------(iii)

Substitute equ (iii) to equ (ii) and solve for x

25x + 30(130 - x) = 3650

25x + 390 - 30x = 3650

-5x = -250

-x = 50

We solve for y using equ (iii):

y = 130 - x

y = 130 - 50

y = 80

So, the discounted price to take a surfing lesson is $50 and the discounted price to go parasailing is $80

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Let's solve this problem step-by-step.

6+0.1x=0.15x+8

Step 1: Simplify both sides of the equation.

0.1x+6=0.15x+8

Step 2: Subtract 0.15x from both sides.

0.1x+6−0.15x=0.15x+8−0.15x

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Step 3: Subtract 6 from both sides.

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Step 4: Divide both sides by -0.05.

-0.05x/-0.05=2/-0.05

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4 years ago
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4 years ago
A tunnel is 300 feet deep and makes an angle of 30 with the ground .
Goshia [24]

Answer:

\boxed{C.\:\: 600\:feet}

Step-by-step explanation:


The tunnel, the ground and the depth of the tunnel form a right angle triangle.

The length of the tunnel is the hypotenuse of the right triangle that has been formed.


Let the length of the tunnel be m\: feet.


Using the sine ratio, we obtain;


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We cross multiply to obtain;


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