Two companies offer river tubing trips.
• The first company charges $7.50 rental fee for the tube and $3.00 an hour.
• The second company charges $10.50 rental fee for the tube and $2.00 an hour.
What is the minimum number of hours a person would need to rent a tube in order for
the second company to be a better deal?

Answers

Answer 1

Minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

What is a mathematical model?

A mathematical model is the model which is used to explain any system, the effect of the components by study and estimate the functions of systems.

Two companies (first and second) offers river tubing trips and the rates of them are as follows: The first company charges $7.50 rental fee for one tube, with a charge of $3.00 an hour.

For the x hours, the charge of the company is,

7.50+3.00x

The second company charges $10.50 rental fee for one tube with a charge of $2.00 an hour. For the x hours, the charge of the company is,

10.50+2.00x

Let x is the hour at which the cost of both companies are equal. Thus,

7.50+3.00x=10.50+2.00x

3x-2x=10.5-7.5

x=2.5

Thus, the minimum number of hours which a person need to rent a tube in order for the second company to be a better deal is more than 2.5 hours.

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Related Questions

a person borrows $12500 from a lender for 3 years at a rate of 10%.
find the simple interest.​

Answers

Given:P= $12500R= 10%T= 3 yearsNote that:P= Principal amountR= Rate of interest T= Time periodSolution:

[tex]\huge\boxed {\: I=\frac{PRT}{100}}[/tex]

First, we'll have to multiply the principal amount, rate of interest and time period.

[tex]12500 \times 10 \times 3[/tex]

[tex] = 375000[/tex]

Now, divide the amount ( 375000 ) by 100.

[tex] = \frac{375000}{100} [/tex]

= $3750

Hence, the simple interest is $3750

The largest pyramid at giza is a square pyramid. it has a base of 756 feet and a slant height of 612 feet. which represents the two-dimensional net of this pyramid? a rectangular pyramid. the rectangular base is 756 feet by 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. a square pyramid. the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet. the triangles connect to the square by their points. 5 connected triangles with a base of 756 feet and height of 612 feet.

Answers

The two-dimensional net of this pyramid is the square base has side lengths of 756 feet. the triangular sides have a height of 612 feet.

What is a pyramid?

A square pyramid is a 3-dimensional shape with a square base and 4 triangular faces that are joined at a vertex.

The net of a pyramid is made up of one square  and four triangles. The rectangle is the base of the pyramid, and the triangles are the lateral faces.

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the answer is B, or #2. hope this helps. Edgen 2022.

If you know the sine value for a given angle, how can you quickly find the cosecant value for that same angle?

Answers

Answer:

See below

Step-by-step explanation:

Remember the quotient identity [tex]\csc\theta=\frac{1}{\sin\theta}[/tex], so you need to take the reciprocal of the sine value for the given angle in order to get the cosecant value for that same angle.

The required value of cosecant of an angle can be found by taking the reciprocal of sine value.

What are trigonometric ratios?

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

Suppose the sine value of an angle A is SinA,

Then, cosecant value can be written as CosecA.

These trigonometric ratios are reciprocal of each other.

Thus, it can be written as,

CosecA = 1/SinA

Hence, the value of cosecant of an angle can be found by taking the reciprocal of sine value.

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Please helpppppppp I need asap

Answers

Answer:

80

Step-by-step explanation:

1)   37+63=100

2)   180-100= 80

Giving brainliest!!!!!

Answers

Answer:

(7, -3)

Step-by-step explanation:

x-5

y+8

Inverse

12-5

-11+8

(7, -3)

(12,-11) -> (x-5, y+8)-> (7, -3)

Please Answer, No links! reporting right away!.. giving brainliest and more points!
PLEASE I NEED THIS ​

Answers

Answer:

A) 154x89 _s2

s

Step-by-step explanation:

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Find the distance of an object moving at 6 m/s at 5 seconds. show your solution

Answers

Given Information :-

Speed = 6 m/sTime taken = 5 seconds

To Find :-

The distance covered in that time interval

Solution :-

We know that, the formula used to calculate distance , when we are provided with time and speed, is :-

[tex] ✤ \: \orange{ \underline{ \boxed{ \sf Distance = Speed \times Time}}} \: \star \\ \\ [/tex]

Thus, putting the given values, we will get,

[tex] \sf \hookrightarrow Distance = \dfrac{6 \: m}{s} \times 5 \: s \\ \\ \\ \sf \hookrightarrow Distance = \frac{6 \: m}{ \cancel s} \times 5 \: \cancel s \\ \\ \\ \sf \hookrightarrow Distance =6 \: m \times 5 \: \: \: \: \\ \\ \\ \sf \hookrightarrow Distance =30 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the distance covered in 5 second by that speed is 30 m.

[tex] \underline{\rule{227pt}{1.5pt}} \\ \\ [/tex]

Evaluate the expression for the given value

Answers

Answer: Choice C)  9/16

Reason:

Square the 3 up top to get 3^2 = 3*3 = 9

Square the 4 down below to get 4^2 = 4*4 = 16

What is the area of ΔABC to the nearest tenth of a square millimeter?

Answers

Answer:

601sqmm

Step-by-step explanation:

1/2 x AB x AC x sin(79)

= 1/2 x 35 x 35 x sin(79)

= 601.24 sqmm

When solving inequalities, how do you know when to change the inequality symbol?

Answers

When you divide or multiply by a negative number, you must change the direction of the inequality sign. This is because of this rule of inequalities: As you can see, x is originally less than y. But, when it’s multiplied by a negative number, x becomes greater than y. That’s because smaller negative numbers are closer to 0, making them worth more.

How do you solve this?

Answers

Answer:

EG = 41

Step-by-step explanation:

the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is

7x + 9 = 5x + 23 ( subtract 5x from both sides )

2x + 9 = 23 ( subtract 9 from both sides )

2x = 14 ( divide both sides by 2 )

x = 7

then

EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41

Answer:

EG = 41

Step-by-step explanation:

As two base angles are equal, this is an isosceles triangle and the sides opposite to the equal angles are equal.

  7x + 9 = 5x + 23

Subtract 9 from both sides

         7x = 5x + 23 - 9

         7x = 5x + 14

Subtract 5x from both sides.

    7x - 5x = 14

           2x = 14

Divide both sides by 2

             x = 14/2

             x = 7

EG = 6x - 1

     = 6*7 - 1

     = 42 - 1

EG = 41

What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 2.3 meters, and a height of 0.9 meters?

4.968 m³

9.936 m³

11.94 m³

34.86 m³

Answers

Answer:

9.936

Step-by-step explanation:

V = Bh

B = base

base = Lengh x width

base = 4.8 x 2.3

base = 11.04

V = 11.04h

H = height

H = .9

V = .9 x 11.04

V = 9.936

Answer:

9.936 m³

Step-by-step explanation:

A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What percentage of their total budget did they spend on props?

Answers

Pretty sure it is 33% because 198/600 is 33.

Grapes are on sale for $0.98 per pound and Bart wants to purchase 4 pounds of grapes. How much will he spend?

Answers

Answer:6.93

Step-by-step explanation: Since we want to know how mush it costs, we have to multiply

1.98*3.5= 6.93

Step-by-step explanation:

I think the answer is$3.92 not sure..

About how many moons can fit inside Earth?

Answers

Answer: I’m pretty sure 50 moons could fit inside the Earth.

Step-by-step explanation:

Hope this helps, and have a healthy and happy day. :)

In a post office, the mailboxes are numbered from 1 to 4,500. These numbers represent Group of answer choices quantitative data either categorical or quantitative data categorical data since the numbers are sequential, the data is quantitative

Answers

The numbers on the mailboxes represent categorical data.

What is categorical data?

Categorical data are also known as qualitative data. It is a type of that can only take on a fixed number of values. An example of categorical data is gender. One can either be a male or a female.

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Two cones are similar. The surface area of the larger cone is 65π square inches. The surface area of the smaller cone is 41. 6π square inches. The radius of the smaller cone is 6. 4 inches. What is the radius of the larger cone? 8 inches 10 inches 11. 52 inches 14. 4 inches.

Answers

Answer: 145

Step-by-step explanation: I say this because it has 14. 4 then

What is the product?
(3x-5)(22-7x+1)

Answers

answer

1. expand the equation

3x(22-7x+1)-5(22-7x+1)

66x-21x²+3x-110+35x-5

104x-21x²-115

At a sale, dresses were sold for $76 each. If the dresses originally cost $200 each,
what percentage of its original price was a dress sold for?

Answers

The answer is 8.4. The reason is you have to do 100-76, which equals 24 so then you 200/24 which is 8.33333 but you have to round so 8.4%

The percentage of dress was sold for 62% of its original price.

To find the percentage of the original price that the dress was sold for, we can use the formula for percentage change:

Percentage Change = (Change in Value / Original Value) × 100

In this case, the original value is the cost of the dress ($200), and the change in value is the difference between the original cost and the sale price ($76):

Original Value = $200

Sale Price = $76

Change in Value = Original Value - Sale Price

Change in Value = $200 - $76

Change in Value = $124

Now we can plug these values into the percentage change formula:

Percentage Change = (Change in Value / Original Value) ×100

Percentage Change = ($124 / $200) × 100

Percentage Change = 0.62× 100

Percentage Change = 62%

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What us the median of (14, 2, 4, 10, 4, 12. 8, 1)?

Answers

Answer:

= { 1, 2, 4, 4, 8, 10, 12, 14}

There are total 8 numbers in data. so,

two middle numbers are : 4, 8

= 4+8

= 12

now divide 12 with 2

= 6

So... the median of given set is 6.

Answer:

7

Step-by-step explanation:

since there are two middle numbers you add and divide them by 2

PLEASE HELP FAST IM GONNA GET GROUNDED

Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. She wants to compare the theoretical probability and the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.

{2, 4,​ 1, 8, 7, 5, 3, 4, 1, 9}

**Note - There are 3 answers. You must select 3 answers.**

The theoretical probability of spinning an odd number is equal to ______. The experimental probability of spinning an odd number is equal to ______. Therefore, the theoretical probability of spinning an odd number is _____ the experimental probability of spinning an odd number.

Select 3 correct answer(s)
Question 7 options:

1/5


5/9


2/3


3/5


1/2


less than


greater than

Answers

The theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.

What is theoretical probability?

Theoretical probability of an event is the ratio of number of favorable outcome to the total expected number of outcome of that event.

Vicky has a spinner divided into 9 equal sections that are labeled 1 though 9. There are total 5 odd terms. Thus, the theoretical probability of getting odd in ten spins is,

P=5/9

P=0.556

The data of spin 10 times is:

{2, 4,​ 1, 8, 7, 5, 3, 4, 1, 9}

Here, the odd numbers are 6. Thus, experimental probability of spinning an odd number is,

P=6/9

P=2/3

P=0.667

Thus, the theoretical probability and experimental probability of spinning an odd number is equal to 5/9 and 2/3 respectively. The theoretical probability is less than the experimental probability of this event.

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solve for the value of x :-
4(3+x)+x=x+4​

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve for x ~

[tex]\qquad \tt  \dashrightarrow \: 4(3 + x) + x = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 12 + 4x+ x = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 5x + 12 = x + 4[/tex]

[tex]\qquad \tt  \dashrightarrow \: 5x - x = 4 - 12[/tex]

[tex]\qquad \tt  \dashrightarrow \: 4x = - 8[/tex]

[tex]\qquad \tt  \dashrightarrow \: x = - 8 \div 4[/tex]

[tex]\qquad   \dashrightarrow \: \boxed{ \tt x = - 2 }[/tex]

Please I need help this assignment is due in 15-mins


Loretta's famous punch calls for 2 liters of mango juice. The only mango juice Loretta can find is sold in ​200-milliliter cartons. How many cartons of mango juice does Loretta need to​ buy?

Answers

Answer:

10 cartons

Step-by-step explanation:

1 liter is equal to 1000 milliliters

We are looking for 2 liters of mango juice. So you would need 2000 milliliters of juice.

But the juice is sold in 200 milliliter cartons. So if you multiply 200 by 10, it should give you 2000.

PLEASE FAST IF I DONT PASS THIS I CANT GO TO PROM WILL GIVE BRAINLIEST!!!

Answers

Answer:

B or Number 2.

The expression 25−−√−21−−√ can be rewritten as 5−21−−√. Since the exact value of 21−−√ cannot be found, the difference is irrational.

B or Number 2.

The product of two irrational numbers is ___ (Sometimes) an irrational number.

Step-by-step explanation:

The product of two irrational numbers i never an irrational number

Answer:

C is the answer for the first one and sometimes is the answer for the second one.

1. Each equation below represents a circle. Place its equation in standard form and then state the coordinates of its center and the length of its radius.
(a) x² + 8x + y2 – 2y = 8
(b) x2 - 6x + y2 - 20 y =12 -
(c) x2 –16x + y2 +10y+88 =
(d) y2 + x2 +8x = 84​

Answers

Completing the squares, it is found that the center and the radius of the circles are given as follows:

a) The center is (-4,1) and the radius is 5.

b) The center is (3, 10) and the radius is 11.

c) The center is (8,-5) and the radius is 1.

d) The center is (-4,0) and the radius is 10.

What is the equation of a circle?

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

Item a:

x² + 8x + y² - 2y = 8

Completing the squares:

(x + 4)² + (y - 1)² = 8 + 4² + 1²

(x + 4)² + (y - 1)² = 25

Comparing to the standard equation: The center is (-4,1) and the radius is 5.

Item b:

x² - 6x + y² - 20y = 12

(x - 3)² + (y - 10)² = 12 + 3² + 10²

(x - 3)² + (y - 10)² = 121

The center is (3, 10) and the radius is 11.

Item c:

x² - 16x + y² + 10y + 88 = 0

(x - 8)² + (y + 5)² = -88 + 8² + 5²

(x - 8)² + (y + 5)² = 1

The center is (8,-5) and the radius is 1.

Item d:

x² + 8x + y² = 84

(x + 4)² + (y - 0)² = 84 + 4²

(x + 4)² + (y - 0)² = 100

The center is (-4,0) and the radius is 10.

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Solve this system of linear equations. Separate the x- and y-values with a comma.

2x = 9x - 14y

9x = 40 - 14y

Answers

Answer:

x = [tex]\frac{5}{2}[/tex], y = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = [tex]\frac{5}{4}[/tex]

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = [tex]\frac{5}{2}[/tex]

hope this helps!

What is the length of AB?
12 units
10 units
6 units
14 units

Answers

Answer:

10 units

Step-by-step explanation:

From the graph,

Coordinates of A = (-7,-6)

Coordinates of B = (1,0)

Distance between two coordinates is given by the formula,

[tex] = > \sqrt{( {x_{2}-x_{1}}^{2} ) + ( {y_{2}-y_{1}}^{2} )} [/tex]

Let A(-7,-6) = (x1 , y1)

B(1,0) = (x2 , y2)

=> AB = √[( 1 - (-7))² + ( 0 - (-6))²]

=> AB = √ 8² + 6² = √ 64 + 36 = √100

=> AB = 10 units

What is x? I need answers

Answers

A value that is not yet known

Plss hellppp. Worth 10 points<3

A person might write a lyric poem if they were:

writing a script for a play
writing a short humorous story
writing a research paper on Shakespeare
writing a poem about someone who has died

Answers

Answer:

writing a poem about someone who has died

Step-by-step explanation:

lyric poems are deep, emotional, and powerful, thus the selected option should be best for that

Answer:

The last one

Step-by-step explanation:

Seth took 30 inches of wire and cut it into
13 inch pieces. How many pieces did he
4
get?

Answers

Answer:

he go 2 full 13 in pecies 2.30

Step-by-step explanation:

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