The Beach Shack rents boats for $60 the first hour and $30 each hour after that. The Surf
Shop rents boats for $40 an hour. At what number of hours are the rental fees for a boat
from each shop equal?

Answers

Answer 1

Answer:

After 3 hours.

Step-by-step explanation:

60 + 30x = y

40x = y

Beach Shack:

60, 90, 120, 150, 180, 210

Surf Shop:

40, 80, 120, 160, 200


Related Questions

a process in which a number is changed, such as by adding, subtracting, dividing or multiplying is definition of _____

Answers

Answer:operation

Step-by-step explanation:

What is the ratio of dL to L?

Answers

Answer:

Step-by-step explanation:

The ratio of a change in a quantity (dL) to the original quantity (L) is given by:

dL/L

This ratio can also be expressed as a percentage change, which is calculated by multiplying the ratio by 100:

(dL/L) * 100 = percent change

In general, the ratio of dL/L represents the fractional change in the quantity L and is used to quantify the effect of small changes in a system or process. For example, if L is the length of an object and dL is a small change in length, then dL/L represents the fractional change in length due to this change.

1, 6, 36, 216, 1296...

Write the recursive form of the sequence above.

Answers

Tn = 6Tn-1 is the recursive form of the sequence

Finding the recursive function of a geometric sequence

A geometric sequence is determined by its common ratio. The standard recursive formula is expressed as:

Tn = rTn-1

Determine the common ratio of the sequence

r = 6/1 = 36/6

r = 6

Substitute the common ratio into the formula to have:

Tn = 6Tn-1

Hence the recursive form of the sequence above is Tn = 6Tn-1

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What angle in degrees does the guy wire make with the ground?

Answers

Answer:

45? I'm not 1000% sure tog

Step-by-step explanation:

SMENT UNIT 22 SY23 / SECTION 1/1 OFS /
Kane Laboratories is studying the impact of various enriched growth mediums on different bacteria. They
are currently studying the impact of placing Bacillus Megaterium into a culture of sucrose salts. The table
below shows the growth rate of the bacteria during the growth phase. The generation time for Bacillus
Megaterium is 25 minutes in this culture.
Generation
Number, n
Bacteria
Population, P
B. P (n) = 12+2n
OC. P (n) = 12 (n+1)
OD. P (n) = 12-4-1
0
12
1
24
2
3
48 96
4
20%
192
Which function models the growth of the Bacillus Megaterium over each generation?
O A P (n) = 12-2

Answers

The function that models the growth of the Bacillus Megaterium over each generation is B. P (n) = 12 + 2n.

2x+3y=11
x-3y = 1
What is the solution (x, y) to the given system of
equations?

Answers

Answer:

(x, y) = (4, 1)

i don't have an explanation lol

Cory and Veronica each multiplied one/2×5/2 Cory got six/ four and Veronica Cook got five over four which student found the correct answer explain

Answers

Answer:

Veronica is correct

Step-by-step explanation:

1/2 x 5/2 = 5/4

1/2 + 5/2 = 6/4

Arial says that, for any pair of linear realtions, if the coefficients of the y-terms are equal the coefficients of the x-terms are equal, the graphs of the two lines will be parallel. Give an example for which Arial's claim is true.

Answers

Arial's claim that the graphs of the two lines will be parallel if the coefficients are equal.

How to prove the claim ?

If the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the two lines represented by the equations will be parallel. Parallel lines have the same slope and do not intersect, meaning that their graphs will never cross.

To prove Arial's claim, here is an example:

y = 2x + 1 and y = 2x + 3

The coefficients of the y-terms are equal in both equations, since they both have a coefficient of 2 in front of the x-term. The coefficients of the x - terms are also equal, since they both have a coefficient of 1 in front of the constant term thereby making them parallel.

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I NEED HELP ON THIS ASAP!!!

Answers

The system of linear inequalities (x, y) has a solution that is (-1, 2)

What is the system of linear inequality

A system of linear inequalities is identical to a system of linear equations, but instead of equations, it is made up of inequalities. Many constraint scenarios are modeled using sets of linear inequalities.

We may determine the values of x and y in the above problem as;

x + y > 1 ...eq(i)

-x + y <= 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

This is simple to plot on a graph, and the intersection will provide the answer;

The graph below shows the inequality's (x, y) solution, which is (-1, 2)

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A number cube was rolled as part of an experiment. The results are displayed in the table below. Number 1 2 3 4 5 6 Frequency 4 6 5 7 3 5 What is the best explanation of how to find the experimental probability of rolling a 3? To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the frequency of the number three. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the number three to the total number of trials. Simplify if necessary. To find the experimental probability of rolling a three, write a ratio of the total number of trials to the number three. Simplify if necessary

Answers

The best explanation of how to find the experimental probability of rolling a 3:

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.

What is Probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have the Data as:

Number    Frequency     Probability

1                      4                  0.13

2                      6                  0.20

3                      5                  0.17

4                      7                  0.23

5                      3                  0.10

6                      5                  0.17

total                30                 1.00

To find the experimental probability of rolling a three, write a ratio of the number of times three occurs to the total number of trials.

= 5/30

= 1/6

= 0.166

= 16.6% or 17%.

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1) A bakery used one-sixth of a bag of chocolate chips to make 8 batches of cookies. How
much of the bag did they use for each batch?

Answers

Answer:

Step-by-step explanation:

1/6 ÷ 8

1/6 × 1/8

1/48

for each batch

Choose ALL answers that describe the polygon QRST if QR = 12, RS = 12, ST = 12, TQ = 12, m

Answers

Answer:

quadrilaterals

ok I only guss it

A, B, C and D form the vertices of a parallelogram.
AD = 10.1cm, AB = 15.9cm and

BAD = 61°.
Find the area of the parallelogram. Round to 1 DP

Answers

The answer would be 160.6cm squared (this is rounded from 160.59)

To find the area of a parallelogram, you multiply length by width.

The side AB-10.1 * side AB-15.9 = 160.59cm squared.

Hope this helped!

A human body that is performing light work generates about 700.0 BTUs of body heat per hour. If a room that is 12.0 x 13.0 x 11.0 is being painted by 3 people, how many BTUs per cubic foot do they produce in 2 hours

Answers

2.45 BTUs/ft³ is produced in 2 hours.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

It is given that a human body that is performing light work generates about 700 BTUs.

Total heat generated by 3 peoples in 1 hour -

Q{heat} = 3 x 700

Q{heat} = 2100 BTUs/hr

For the two hours -

Q{T} = 2100 x 2

Q{T} = 4200 BTUs                                              ... { 1 }

Volume of the room -

V{R} = 12 x 13 x 11

V{R} = 1716 ft³                                                  ... { 2 }

So, we can write as -

BTUs per cubic foot produced in 2 hours is -

{r} = Q{T}/V{R}

{r} = 4200/1716

{r} = 2.45 ft³

Therefore, 2.45 BTUs/ft³ is produced in 2 hours.

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What type of figure is shown above?

Answers

Answer:

See below

Step-by-step explanation:

This is a triangular prism:

h = Perpendicular height of prism

Base shape = Triangle

t = Perpendicular height of triangle


Volume of triangular prism =
Base Area × h

                  = Area of triangle × h

                  = [[tex]\frac{1}{2}[/tex] × Base of triangle × t] × h

                  = [[tex]\frac{1}{2}[/tex] × 5 in × 1.7 in] × 10 in

                  = 42.5 cubic inches


Total Surface Area =
[2 × Base Area] + Lateral Surface Area

             = [2 × Area of triangle] + [(Perimeter of triangle) × h]

             = {2× [[tex]\frac{1}{2}[/tex] × 5 in × 1.7 in]} + [(5 in + 3 in + 3 in) × 10 in]
             = 8.5 [tex]in^{2}[/tex]  + 110 [tex]in^{2}[/tex]

              = 118.5 square inches

How to solve your problem: 8d+d+3d+2+4d

Answers

Answer:

d= -1/8

Step-by-step explanation:

8d+d+3d+2+4d= 16d+2

16d= -2

d= -1/8

If the force of two forces is 12 N acting at an angle of 90° to one forces and their greatest force is 18 N, determine the two forces.

Answers

Answer:Let the magnitude of smaller force is P, the magnitude of larger force is Q and the resultant force is R.

As the resultant force makes 90

 with the smaller force P then Q forms the hypotenuse of the triangle.

Thus, it can be written as,

Q

2

−P

2

=R

2

Q

2

−P

2

=(12)

2

Q

2

−P

2

=144                                (1)

The sum of magnitudes of two forces is given as,

P+Q=18

Q=18−P                                     (2)

Substituting the value from equation (2) in equation (1), we get

(18−P)

2

−P

2

=144

P=5N

Substituting the value of P in equation (1), we get

Q=18−5

=13N

Thus, the magnitude of the forces are 5N and 13N.

Step-by-step explanation:

What are the ACT math formulas that you absolutely have to know?

Answers

The ACT Math section tests a wide range of mathematical concepts and skills, so there are many formulas and concepts that you should be familiar with.

Here are some of the most important ACT math formulas that you should know:

1. Basic operations: addition, subtraction, multiplication, and division.

2. Exponents and roots: [tex]a^n[/tex] means a multiplied by itself n times; the nth root of a is the number that, when raised to the nth power, gives a.

3. Order of operations: parentheses, exponents, multiplication/division (from left to right), and addition/subtraction (from left to right).

4. Fractions: converting between fractions, decimals, and percents; adding, subtracting, multiplying, and dividing fractions.

5. Algebra: solving equations and inequalities; simplifying algebraic expressions; factoring quadratics; understanding linear and quadratic functions.

6. Geometry: properties of lines, angles, and polygons; Pythagorean theorem; trigonometric functions; volume and surface area of 3D shapes.

7. Probability and statistics: calculating probabilities; mean, median, and mode; standard deviation.

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I thought of a number, this number doubled is 9 more than the number itself. what is my number?

Answers

Possible answer: 9

Step-by-step explanation:

9 doubled is 18, and that is 9 more than the original number itself.

Unless I'm wrong.


Rickquan, wants a balance of $565 in his account. He deposited $65 in
his account and will save $25 per week. How many weeks will it take
Rickquan to reach his goal?

Answers

20

Step-by-step explanation:

cause 565-65 is 500 and divide that by 25 is 20.

Answer:

20 weeks

Step-by-step explanation:

starting with an initial 65 adding money each week after 20 weeks he would've added 500

A carnival charges $6 to enter and $.75 per ticket. Write a function rule that models this situation.
Rule:​

Answers

The function rule that models this situation is that increase in the number of tickets would lead to an increase in the total cost charged for each individual.

What is a direct relationship between two values?

A direct relationship between two values is said to exist when the increase in one value leads to the increase of the other.

The cost of 1 ticket = $.75

The cost to enter the carnival = $ 6

Therefore the total cost for each individual = 6+0.75 = $6.75

The cost for two tickets for two individuals = 2× 6.75 = $13.5.

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The point (10, 10) is the midpoint of C and D. Given that the coordinates of C are (15, s) and the coordinates of D are (t, 3), solve for the values of the variables s and t. Show your work (HELP ME PLEASE)

Answers

Answer: T= 5 and s =17

Step-by-step explanation: Use the midpoint formula

Solve for T

^xm=^xC+^xD/2

15+t/2=10

15+t=20

Solve for S

^ym=^yC+^yD/2

s+3/2=10

s+3=20

Solve for y. 2x - 1/4y = 1

Answers

Solve for y: y=8x-4

Solve for y by simplifying both sides of the equation, then isolating the variable.

what is -3x+y=6 on a graph?

Answers

The graph of the equation -3x+y=6 is linear and is attached with the answer below.

What is a linear equation?

A linear equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The given linear equation is -3x+y=6. When we plot the linear equation -3x+y=6 on the graph it will be a straight line and the x and y-intercepts are -2 and 6 respectively.

The graph of the linear equation is attached with the answer below.

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Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

x = 64.6 degrees

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side / hypotenuse

cos x = 3/7

Taking the inverse cos of each side

x = cos^-1 ( 3/7)

x = 64.6 degrees

5. A company produced 9,800 pairs of sunglasses
in one week, and 49 of the sunglasses failed
a quality inspection. If the company produces
1,400 pairs of sunglasses in one day, how many
would you expect to fail the quality inspection

Answers

The number of sunglasses that will fail the quality inspection are 7.

What is a ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

We are given that, A company produced 9,800 pairs of sunglasses

in one week, and 49 of the sunglasses failed a quality inspection.

And based on this data we are asked to find the number of sunglasses which will fail the quality inspection If the company produces

1,400 pairs of sunglasses in one day

Let the number of sunglasses failing the quality inspection be x

hence the ratio becomes

9800/49 = 1400/x

x= 1400*49/9800

x= 7

The number of sunglasses that will fail the quality inspection are 7.

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which expression is equivalent to 3.5b + 4.5 + 0.5b - 0.5 - 1.5b

Answers

[tex]3.5b + 4.5 + 0.5b - 0.5 - 1.5b[/tex]

Combine Like Terms:

[tex](3.5b+0.5b-1.5b)+(4.5-0.5)[/tex]

[tex]\boxed{2.5b+4}[/tex]

3.5b+ 4.5+ 0.5b-0.5-1.5b

Step by step-
3.5b+0.5b-1.5b = 2.5b
4.5-0.5=4

Answer: 2.5b+4

Determine the number of 4g cremora sachets that will make 1kg cremora box.​

Answers

1kg = 1000 g
1000g\4 = 250

Answer is 250 sachets

A total of 250 packets of  4g cremora will make 1kg cremora box.

What is function?

A function is a elation between a dependent and independent variable.

Given are 4g cremora sachets.

We can write the total number of cremora sachets that will make 1kg cremora box as -

{n} = 1000/4

{n} = 250

Therefore, a total of 250 packets of  4g cremora will make 1kg cremora box.

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Help pls due tomorrow

Answers

The angle measure of the missing angle is  630 - 11x.

What is the interior angle?

Angles inside a polygon are referred to as interior angles. A triangle, for instance, has three internal angles. Interior angles are sometimes defined as "angles confined in the interior area of two parallel lines when they are crossed by a transversal."

Given:
A non-regular hexagon.

The sum of all the interior angles of the hexagon is,

= (6 - 2) 180

= 4(180)

= 720

Now, the angle measure of the missing angle,

= 720 - 2x - 3x - 2x - 4x - 90

= 630 - 11x

Therefore, 630 - 11x is the required expression.

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Stefan is decorating a rectangular cake. He will put blue icing on the top three-fourths of the cake, as shown in this model. He will put red dots on the left one-fifth of the cake, as shown in this model. What fraction of the cake will have both blue icing and red dots? .

Answers



The fraction of the cake that will have both blue icing and red dots is one-fifth. This is because the red dots will be on the left one-fifth of the cake and the blue icing will cover the top three-fourths of the cake, which includes the left one-fifth. Therefore, one-fifth of the cake will have both blue icing and red dots.
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