A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay?

the width is x - 3

~iwa-chan

Answer:

Total cost = $4.08

Step-by-step explanation:

Given the following data;

Selling price = $3.4

Shipping and handling fee = 20%

To find the total cost;

First of all, we would determine the extra fee;

Extra fee = 20/100 * 3.4

Extra fee = 68/100

Extra fee = $0.68

Now, we can solve for the total cost using the formula below;

Total cost = selling price + extra fee

Total cost = 3.4 + 0.68

Total cost = $4.08

Answer: The side of the house will the ladder reached by ladder = 16.52 feet

Step-by-step explanation:

House is standing vertical on the ground.

By placing ladder, it will become a right triangle with hypotenuse as ladder.

By Pythagoras theorem,

[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]

i.e.

[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]

Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)

Answer:

Step-by-step explanation:

The slope of a line that passes through two given points: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The equation of the line that passes through given point with a slope of m:  

y - y₁ = m(x - x₁)

Line A:

 [tex]m=\dfrac{-1-5}{3-(-1)}=\dfrac{-6}4=-\dfrac32[/tex]

[tex]y-5=-\frac32(x+1)\\\\y=-\frac32(x+1)+5[/tex]

Line B:

 [tex]m=\dfrac{-1-2}{6-7}=\dfrac{-3}{-1}=3[/tex]

[tex]y-2=3(x-7)\\\\y=3(x-7)+2[/tex]

Point of intersect means the same coordinates x and y.

So:

       [tex]3(x-7)+2=-\frac32(x+1)+5\\\\3x-21+2=-\frac32x-\frac32+5\\\\3x-19=-\frac32x+\frac72\\\\6x-38=3x+7\\\\6x+3x=7+38\\\\9x=45\\\\x=5\\\\y=3(5-7)+2=3(-2)+2=-4[/tex]

Answer:

7.) c

8.) 5.9

9.) 8.78

10.) 8.778

if im wrong let me know

Step-by-step explanation:

Answer: 27.9

Step-by-step explanation:

Add all the numbers together and divide it by how many number there is so

all the numbers added together is 279

there are 10 numbers there so you divide 279 by 10 and it gives you 27.9

Answer:

c

Step-by-step explanation:

20w=4w*5w

45WT=5WT*9WT

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

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Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Answer:

4 hope it helps you better

Answer:

permiter 68ft

area 204ft²

Step-by-step explanation:

25ft+26ft+17ft=68ft

1/2×17ft×24ft=204ft²

I hope it's help

Answer:

8 percent

Step-by-step explanation:

2.4/30 = 0.08 or 8%

Answer:

y = 7

x = 24

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal

For the bigger triangle we have a total 48; so for the smaller we have x

For the bigger, we have 14, so for the smaller, we have y

Mathematically;

25/x = 50/48

x * 50 = 25 * 48

x = (25 * 48)/50

x = 24

For y;

25/y = 50/14

y = (25 * 14)/50

y = 7

Answer:

when the dot's go left to right going upwards

Step-by-step explanation:

Answer:

probably C

Step-by-step explanation:

The question can be written as:

8 * 1.032^n = 140 000, this can be rearranged to

140 000/8 = 17500 = 1.032^n

now we need to find n, we could do this manually with a calculator, but an easier method is to use [tex]\log_x(y)[/tex]

example of log

2^3 = 8

log2 (8) = 3

log1.032 (17500) = 310.17

Answer: 200

Step-by-step explanation: 36 by 100 and then divide the total by 18 as follows: (36 x 100) / 18 For 200

Answer:

200

Step-by-step explanation:

:/

I hope

5 is what percent of 25? = 20

Based on the test scores of the students, Cindy's z-score on the science test is 2.2

We start by calculating the mean of the scores using:

Mean =Sum/Count

So, we have:

Mean = (75 + 80 + 90 + 100 + 75 + 85 + 80 + 80 + 90 + 85)/10

Mean = 84

Using a statistical calculator, the standard deviation is:

Standard deviation = 7.35

The z-score is then calculated using:

z = (x - mean)/standard deviation

Cindy's score is 100.

So, we have:

z = (100 - 84)/7.35

Evaluate

z = 2.2

Hence, Cindy's z-score on the science test is 2.2

Read more about z-scores at:

https://brainly.com/question/25638875

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Answer:

2. 10 + 5 x 2                    $20

3. 10 + 5 x 3                    $25

4. 10 + 5 x 4                    $30

Hope that helps!

Step-by-step explanation:

Answer:

2) 10+5x2= 20

3) 10+5x3= 25

4) 10+5x4= 30

Step-by-step explanation:

just add 5 every time

Answer:

Use photo math, take a picture of the equation, and it will show everything you need to know about it!!!

[tex]3\sqrt{x^2}[/tex][tex]=3x[/tex]

[tex]\sqrt[3]{x^2}[/tex][tex]=x^\frac{2}3}[/tex]

I do not know which one you mean but still one of them is still your answer. :)

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

The given expression 2x^2 + 3x +3 cannot be factored.

That means that it cannot be modeled with a rectangle.

So your answer is, It cannot be modeled with a rectangle.

Answer:

It cannot be modeled with a rectangle.

Step-by-step explanation:

Hope this helps

Answer:

(10,6)

Step-by-step explanation:

1. Rearrange

x-y=4

y=x-4

y-8=-2

y=6

2. Graph

Answer:

B. 81 m²

Step-by-step explanation:

6x10 = 60

7x6 = 42

42/2 = 21

60+21 = 81

Answer:

B) 81 meters squared

Step-by-step explanation:

rectangle = 6 * 10 = 60

triangle = .5 * 6 * 7 = 21

60+21 = 81

Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

Answer:

8 yards

Step-by-step explanation:

/\

/ \

/ \

----------

/ and \ = 8

_ = 10