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Viefleur [7K]
3 years ago
7

It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo

ng can you rent the boat?
Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0
200-25= 175

175/35= 5 hours 
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An amusement park offers two options. Option 1 involves a $10 admission fee plus $0.50 per ride. Option 2 involves a $6 admissio
Art [367]

Answer:

16 rides

Step-by-step explanation:

Option 1 . Admission fee = $10

                Each ride = $0.50

Option 2 . Admission fee = $6

                Each ride = $0.75

Let no. of rides be x

So, cost of ride according to option 1 = 0.50x

So, total cost after having x rides according to option 1 :

= 10+0.50x  ---1

Cost of ride according to option 2 = 0.75x  

So, total cost after having x rides according to option 2 :

= 6+0.75x  --2

Now to find the beak even point i.e. having the same cost

Equate 1 and 2

10+0.50x=6+ 0.75x

10-6= 0.75x-0.50x

4= 0.25x

\frac{4}{0.25} =x

16=x

Thus for 16 rides , the two options have the same cost .

Hence the break even point is 16 rides

5 0
4 years ago
What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,
Luden [163]
Check the picture below.

notice the composite is just,

a 5x2 rectangle.

a triangle(yellow) with a base of 2 and a height of 2.

a triangle(red) with a base of 6 and a height of 4.

get the area of each, sum them up, and that's the area of the composite.

\bf \stackrel{rectangle}{(5\cdot 2)}~~~~+~~~~\stackrel{yellow~triangle}{\cfrac{1}{2}(2)(2)}~~~~+~~~~\stackrel{red~triangle}{\cfrac{1}{2}(6)(4)}

3 0
4 years ago
What is the value or x?
Romashka [77]

From the given figure

\cos x=\frac{XY}{XZ}

Since XY = 5.1 and XZ = 7.7, then

\cos x=\frac{5.1}{7.7}

To find x, use the inverse of cos

x=\cos ^{-1}(\frac{5.1}{7.7})

Use the calculator to find x

x=48.522

The answer is

4 0
1 year ago
Is there negative correlation, or no correlation between the day and the sales amount?
FrozenT [24]

Answer:

A: no correlation

Step-by-step explanation:

Hopefully this helps!

3 0
3 years ago
Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
BaLLatris [955]

Using translation concepts, the correct statements are given as follows:

  • Ava's graph is vertical translation of x².
  • Ava's graph has a y-intercept of 4.
  • Victor's graph moves 4 units from f(x) = x² in a positive direction.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

Ava's graph is given by:

h(x) = x² + 4.

It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.

Victor's graph is given by:

g(x) = (x + 4)²

Which means that it moves 4 units from f(x) = x² in a positive direction.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0
1 year ago
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