It takes Esther 12 minutes to ride a roller

coaster four times. Write an equation to represent

the proportional relationship between the number

of rides and the total amount of time.

Answers

Answer 1

Final answer:

The proportional relationship between the number of rides and time is represented by the equation t = 3n where t is the total time in minutes and n is the number of rides.

Explanation:

Since it takes Esther 12 minutes to ride a roller coaster four times, we can find the time taken for one ride by dividing the total time by the number of rides.

Time for one ride = Total Time / Number of Rides = 12 minutes / 4 rides = 3 minutes per ride.

The proportional relationship between the number of rides (n) and the total amount of time (t) can be represented by the equation t = 3n. This indicates that for every ride, 3 minutes are added to the total time.


Related Questions

42 : 36 : 54 in simplest form

Answers

Step-by-step explanation:

42:36:54 divide this by 6

= 7 : 6 : 9 simplest form

find the value of x.

13,15,17,x,20,21; The median is 18.

Answers

Answer:

1

Step-by-step explanation:

13  15  17  x  20  21

Cross out all outer numbers

We are left with 17 and x

With double medians, you add those two together and then divide them by two.

With the median (total) being 18, we will first add 17+x then divide Y/2 = 18

The value of x is 1

Which graph represents the solution for the equation -5/2x -1 = 4x + 2?

Answers

Answer:

D would be the best choice.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Did the test

Does Y+7=2x and
2y=4x-14 have a solution?

Answers

Answer: It has no exact solution

how do you solve
-4/7 + 2/7x - 14x + 4/7

Answers

Answer:

-96/7x

Step-by-step explanation:

-4/7+2/7x-14x+4/7

-4/7+4/7+2/7x-14x

2/7x-14x

2/7x-98/7x

-96/7x

Answer:

-96/7

Step-by-step explanation:

A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your answer. Round your answer to the nearest tenth.

Answers

The mixture contains 61.5% of water.

Step-by-step explanation:

Total parts = 4+ 2.5 = 6.5

Parts of water =4

parts of drink = 2.5

Percent of water in the mixture = 4 × 100/ 6.5

                                                     = 400/6.5

                                                      = 61.53%

It is rounded to the nearest tenth as 61.5%.

To find the percentage of water in the mix, we calculate the proportion of water (4 parts) to the total mixture (6.5 parts) and multiply by 100%, resulting in approximately 61.5%.

To determine what percent of the mixture is water when a drink is made with 4 parts water and 2.5 parts drink mix, we add together the parts of water and drink mix to find the total parts of the mixture. Then, we calculate the fraction of the mixture that is water and convert that to a percentage.

First, we find the total parts of the mixture:

Water: 4 parts

Drink mix: 2.5 parts

Total parts: 4 + 2.5 = 6.5 parts

Next, we calculate the percentage of the mixture that is water:

(Parts of water / Total parts) × 100%

(4 parts / 6.5 parts) × 100% \approximately 61.5%

Rounding to the nearest tenth, we get:

61.5

A steel ball is traveling through water with a speed of x meters per second, where x is positive the drag force, F

At what speed in meters per second does the ball have a force of 0.5 N on it

Answers

the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.

To find the speed at which the drag force F on the steel ball is 0.5 N, we need to solve the equation:

[tex]\[ F = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]

Given that [tex]\( F = 0.5 \)[/tex], we can substitute this value into the equation and solve for x:

[tex]\[ 0.5 = 0.5 + 0.004(x + 50)(x - 2.5) \][/tex]

Subtracting \( 0.5 \) from both sides, we get:

[tex]\[ 0 = 0.004(x + 50)(x - 2.5) \][/tex]

Now, since the product of two factors is equal to zero, at least one of the factors must be zero. So we have:

[tex]\[ x + 50 = 0 \][/tex] or [tex]\[ x - 2.5 = 0 \][/tex]

Solving these equations:

1. [tex]\( x + 50 = 0 \)[/tex]

[tex]\[ x = -50 \][/tex]

2. [tex]\( x - 2.5 = 0 \)[/tex]

[tex]\[ x = 2.5 \][/tex]

Since the speed cannot be negative, the only valid solution is [tex]\( x = 2.5 \)[/tex] meters per second.

Therefore, the speed at which the ball has a force of 0.5 N on it is [tex]\( 2.5 \)[/tex] meters per second.

The complete Question is given below:

A steel ball is traveling through water with a speed of x meters per second, where x is positive. The drag force, F , in newtons (N) is: F=0.5+0.004(x+50)(x-2.5) At what speed in meters per second does the ball have a force of 0.5N on it?

If theta is an acute​ angle, solve the equation tangent theta equals four fifths
. Express your answer in​ degrees, rounded to one decimal place.

Answers

Answer:

[tex]\theta=38.7\degree[/tex]

Step-by-step explanation:

We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.

We take tangent inverse of both sides to get:

[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]

Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:

[tex]\theta=38.6598\degree[/tex]

To one decimal place, we have;

[tex]\theta=38.7\degree[/tex]

Final answer:

To solve the equation 'tangent theta equals four fifths', we use the inverse tangent function, or arctan(4/5). Using a calculator in degree mode, the result is approximately 38.7 degrees.

Explanation:

To solve the equation tangent theta equals four fifths, we need to find the angle whose tangent is 4/5. We can find this using the inverse tangent function (also known as arctan)

So, theta = arctan(4/5)

Use a calculator to find out the value of arctan(4/5). Make sure your calculator is in degree mode because the answer needs to be in degrees. The answer is approximately 38.7 degrees, rounded to one decimal place.

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Which inequality is equivalent to
6. X+7
5x+3?

Answers

Step-by-step explanation:

(1/2x)+7 is a equation

Answer:

on edgenuit it's c

Step-by-step explanation:

-15x-53/x^2+8x+15

What is this (20+25)/3

Answers

Answer:

78 witch is 15%

Step-by-step explanation:

The answer would be 135/3














What is the y-intercept of the function f(x)=4 -- 5x?
Mark this and return
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Answers

I apologize if you are offended by the "bad words" in the answer below. Brainly's censor got offended.

Simplify: (-7x^2y^4)(-2x^3y^4)

Answers

Answer: 14x^5y^8

Step-by-step explanation:

(-7x^2y^4)(-2x^3y^4)

-7x^2y^4*-2x^3y^4, next take out the constants

−(7×−2)x^2x^3y^4y^4, -(7*-2)=14, so now you just need to add the variables.

(x^2+x^3)+(y^4+y^4)=x^5y^8

14x^5y^8

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)

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what property can be used to solve x-3= -5

Answers

Answer:

-2

Step-by-step explanation:

x-3=-5

x=-5+3

x=-2

What is the missing number from 81,-,9,-,1

Answers

Answer:

-27 and -3

Step-by-step explanation:

81, -27, 9, -3, 1

The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 81,-,9,-,1

we have to find the missing number.

As we observe when 81 is divided by -3 we get -27.

Now when -27 divided by -3 we get 9

When 9 is divided by -3

we get -3

When -3 is divided by -3

the value will be 1.

81, -27, 9, -3, 1

Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

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On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?

Answers

127 children and 264 adults swam at the public pool that​ day

Solution:

Let "c" be the number of children swam

Let "a" be the number of adult swam

Cost for each children = $ 1.25

Cost for each adult = $ 2.25

391 people used the public swimming pool

Therefore,

c + a = 391

a = 391 - c ------- eqn 1

The receipts for admission totaled $752.75

Therefore, we frame a equation as:

number of children swam x Cost for each children + number of adult swam x Cost for each adult = 752.75

[tex]c \times 1.25 + a \times 2.25 = 752.75[/tex]

1.25c + 2.25a = 752.75 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

1.25c + 2.25(391 - c) = 752.75

1.25c + 879.75 - 2.25c = 752.75

c = 879.75 - 752.75

c = 127

Substitute c = 127 in eqn 1

a = 391 - 127

a = 264

Thus 127 children and 264 adults swam at the public pool that​ day

Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?​

Answers

Answer:

approximately (put the approximately sign) $92.94

Step-by-step explanation:

Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.

Claire is that in the first five years between 1977 in 1980 to the hospital about $12 per year are in the second five years between 1983 in 1888 the causal only by about two dollars a year show that Claire is correct

Answers

Answer:

Step-by-step explanation:

Please Help Me!
A sphere's center is located at (0,0,0). The point (4,9,-5) is located on the surface of the sphere. Find the length of the radius of the sphere. Round to the nearest tenth.

Answers

Answer:

The length of the radius of the sphere is 11.0 units

Step-by-step explanation:

we know that

To calculate the radius of the sphere, we can use the distance formula

[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}+(z_2-z_1)^{2}}[/tex]

where

d is the length of the radius

(x_1,y_1,z_1) is the center of the sphere

and

(x_2,y_2,z_2) is one point on the surface of the sphere

we have

[tex](x_1,y_1,z_1)=(0,0,0)[/tex]

[tex](x_2,y_2,z_2)=(4,9,-5)[/tex]

substitute in the formula

[tex]d=\sqrt{(4-0)^{2}+(9-0)^{2}+(-5-0)^{2}}[/tex]

[tex]d=\sqrt{(4)^{2}+(9)^{2}+(-5)^{2}}[/tex]

[tex]d=\sqrt{122}[/tex]

[tex]d=11.0\ units[/tex]

therefore

The length of the radius of the sphere is 11.0 units

BRAINLIEST 60 POINTS!! PLEASE HELP ITS DUE TODAY


First image is for question 1, and second image is for question 2


1. Remember what we know about vertical angles and solve for x.








2. Use the figure to answer the questions.


(a) What additional information is needed to prove the triangles are congruent by SAS Postulate? Explain.

(b) What additional information is needed to prove the triangles are congruent by the HL Theorem? Explain.

Answers

Answer:

1.[tex]x^\circ= 7^\circ[/tex]

2.(a)Therefore , Side LJ =side CA

(b) BC = KL

Step-by-step explanation:

1.

we know that, vertically opposite angles are congruent .

[tex]\therefore (x+16)^\circ= (4x-5)^\circ[/tex]

[tex]\Leftrightarrow 4x^\circ-x^\circ= 5^\circ+16^\circ[/tex]

[tex]\Leftrightarrow 3x^\circ= 21^\circ[/tex]

[tex]\Leftrightarrow x^\circ= 7^\circ[/tex]

2.

(a)SAS = side,angle , side

Given ,side AB = side KJ

and ∠CAB= ∠LJK

All Pythagorean Triples are unique.

Since side AB = side KJ

Therefore , Side LJ =side CA

It satisfies SAS postulate ThereforeΔABC≅ΔKJL

(b)

HL Theorem: If hypotenuse and one leg of of a right triangle are congruent to the hypotenuse and one leg of of other right triangle , then the triangle congruent.

Since,

All Pythagorean Triples are unique.

Then hypotenuse of ΔABC=ΔLKJ ⇔BC = KL

570 times what gets 690

Answers

Answer:

1.21052631579 is the exact answer or 1.2 is if you round it

Step-by-step explanation:

This is the answer I got from dividing 690 by 570. Hope this helped

Answer:

1.21 to the nearest hundredth.

Step-by-step explanation:

570 * x = 690

x = 690/570

x = 1.210526316.

lonnie bought 6 pieces of ribbon. Each ribbon was 2 and 3/4 yards long. How much ribbon did Lonnie buy in all

Answers

Answer:

14.04

Step-by-step explanation:

you mupltiy

Answer:

b

Step-by-step explanation:

2.34 x 6 = 14.04

so it would total up to 14.12

What's 0 divided by 0?

Answers

Answer:

Nothing

Step-by-step explanation:

You can't divide by zero

Answer:

ANYTHING DIVIDED BY 0 IS ALWAYS ZERO

Step-by-step explanation:

PLEASE MARK BRAINLIEST

5. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)

Answers

Answer: s > 5

Step-by-step explanation:

-s² + 25s - 100 > 0

Coefficient of s² is -1, multiply the equation through by -1.

-1 × (-s² + 25s - 100)

s² — 25s + 100

ax² + bx + c

Then you get the factors x and y that gives x + y = b and xy = c

b = -25 and c = 100, x = -20 and y = -5

-20 × -5 = 100 and -20 + -5 = -25

Then

s² — 20s — 5s + 100 > 0

Factorising,

s (s — 20) — 5(s — 20) > 0

(s — 5)(s — 20) > 0

(s — 5) > 0 and (s — 20) > 0

s>5 and s>20

s > 5

Hope this Helps?

Clare has $150 in her bank account. She buys a bike for $200. What is Claire's account balance now?

Cooldown
unit 5, lesson 4
4.4​

Answers

Answer:

-50

Step-by-step explanation:

she only had 150, but spent 200 she overdrew

she has an overdraft of $50

Answer:-50

Step-by-step explanation:150-200=-50

What is 83.9 rounded two decimal places

Answers

Answer:

~ 83.90

2 decimal place is basically the hundredths place
Rounding it 2 decimal places will end up with 83.90.

brand A granola is 25% nuts and dried fruit and brand B granola is 10% nuts and dried fruit. how much of sweet item A and sweet item B should be mixed to form a 30-lb batch of sweets that is 22% nuts and dried fruit?

Answers

x = lbs of A
y = lbs of B
---
x + y = 10
25x + 20y = 21*10
---
put the system of linear equations into standard form
---
x + y = 10
25x + 20y = 210



lbs of A = 2
y = lbs of B = 8

To create a 30-lb batch of sweets that is 22% nuts and dried fruit, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B.

To find the solution, we can set up a system of equations based on the percentages of nuts and dried fruit in each brand of granola and the desired final percentage.

Let x represent the amount of sweet item A (in pounds) and y represent the amount of sweet item B (in pounds) to be mixed.

The total weight of the mixture is x + y = 30 lbs.

The percentage of nuts and dried fruit in brand A is 25%, so the amount of nuts and dried fruit from A is 0.25x lbs.

The percentage of nuts and dried fruit in brand B is 10%, so the amount of nuts and dried fruit from B is 0.10y lbs.

The desired final percentage in the mixture is 22%, so we have the equation: (0.25x + 0.10y) / 30 = 0.22.

Now, we can solve this system of equations to find x and y.

First, we'll multiply the last equation by 30 to get 0.25x + 0.10y = 6.6.

Then, we can use substitution or elimination to solve for x and y.

In this case, it's simpler to use elimination, and we find that x = 12 lbs and y = 18 lbs.

Therefore, you should mix 12 lbs of sweet item A and 18 lbs of sweet item B to create the desired 30-lb batch with 22% nuts and dried fruit.

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solve for x and y


−8y+9x=−5
8y+7x=−75

Answers

Answer:

-8y + 9x = -5

8y + 7x = -75

16x = -80

x = -5

8y + 7(-5)= -75

8y - 35 = -75

8y = -40

y = -5

(-5,-5)

Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).

Answers

On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given that f(x) = 1/4[tex](8)^x[/tex]

The Reflecting f(x) across the y - axis,

[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]

g(x) reflecting across the x-axis,

The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple

We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

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Answer:

Your answer is D

Step-by-step explanation:

I'm being forced to redo a handful of my answers since they were deleted...

"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."

V=15.81 V, P = 500 mW, I=

Answers

Answer:

0.032 Amperes

Step-by-step explanation:

in this question We are given;

Voltage, V =15.81 VPower, P = 500 mW (Milli-watts)

We are required to determine the current, I

We need to know that power, P is given by the product of current and voltage.

That is;

Power = VI

But; 1 mW = 0.001 Watts

Thus, 500 mW = 0.5 watts

Rearranging the formula;

I = Power ÷ V

 = 0.5 watts ÷ 15.81 V

 = 0.0316 Amperes

 = 0.032 A

Thus, the current, I is 0.032 Amperes

I need help please and thank you

Answers

Answer:   [tex]Perimeter= 71.75[/tex]

The parameter of a 2-D figure is the total length of its boundaries.

Step-by-step explanation:

In the given figure a hexagon is given with the length of its sides given in mixed fraction.

A mixed fraction can be solved by    [tex]p\frac{x}{y} =\frac{(p*y)+x}{y}[/tex]

So adding the given sides in the figure:

[tex]Perimeter=14\frac{3}{4}+ 4\frac{1}{2}+ 8\frac{1}{2}+10 \frac{2}{5}+10 \frac{2}{5}+12 \frac{4}{5}[/tex]

[tex]=\frac{(14*4)+3}{4} +\frac{(4*2)+1}{2} +\frac{(8*2)+1}{2} +\frac{(10*5)+2}{5}+ \frac{(10*5)+2}{5} +\frac{(12*5)+4}{5}[/tex]

[tex]=\frac{59}{4}+ \frac{9}{2}+ \frac{17}{2}+ \frac{52}{5}+ \frac{52}{5}+ \frac{64}{5}[/tex]

[tex]=14.75+4.5+8.5+10.4+10.4+12.8[/tex]

[tex]Perimeter= 71.75[/tex]

The perimeter of the given figure is 71.75

Other Questions
Item 11A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales? Is a stick of dynamite potential energetic or kinetic A mixture of gaseous reactants is put into a cylinder, where a chemical reaction turns them into gaseous products. The cylinder has a piston that moves in or out, as necessary, to keep constant pressure on the mixture of 1 atm. The cylinder is also submerged in a large insulated water bath. The temperature of the water bath is monitored, and it is determined from this data that 133.0 kJ of heat flows into the system during the reaction. The position of the piston is also monitored, and it is determined from the data that the piston does 241.0 kJ of work on the system during the reaction.(1) Does the temperature of the water bath go up or down?(2) Does the piston move in or out?(3) Does heat flow into or out of the gaseous mixture?(4) How much heat flows? find the difference and the next three terms -10 -20 -30 Job 215 was started and completed during the year. What price would have been charged to the customer if the job required $3,600 in direct materials and $4,900 in direct labor cost and the company priced its jobs at 45% above the jobs cost according to the accounting system? (Round your answer to the nearest dollar.) In order to conduct an experiment, 55 subjects are randomly selected from a group of 4343 subjects. How many different groups of 55 subjects are possible? The operations planning practice of inputting sales forecasts into computer software that accurately predicts the amount and timing of materials needed to complete products and projects is ________________. look at the image please helppp ________________ refers to the tendency to marry people like ourselves (for example, similar age, race, religion, and education level). Select one: a. Homosexuality b. Homogamy c. Monogamy d. Polygamy XYZ Corporation is headquartered in the United States and is opening a new office in Singapore. The company decides to send a U.S. citizen, who is a senior manager at its U.S. office, to help set up the new office in Singapore. The senior manager is referred to as______ in Singapore. Given the scale drawing of a one bedroom apartment, what is the actual length of the apartment from the study to kitchen? If Abkhazia, Artsakh, and South Ossetia were widely recognized independent states, how would they compare in size to the microstates described earlier in this chapter? Bartie's Inc. sells watercolors and pastels that are marketed as safe for use by children. However, several accounts of lead poisoning were reported in children who used the products. An investigation revealed that the company was knowingly manufacturing colors that contained a significant amount of a toxic heavy metal. Which of the following torts has Bartie's committed? A) negligence B) Negligence C) misrepresentation D) conceals a defect in a product A car drove 24 miles in 0.2 hours. How fast is the car going in miles per hour? PLEASE HELP ME FAST!!! (I have a timer on my test!!!)What is the quotient of - 3/8 and - 1/3 ? Use the Diagram of ABCD to find X? Does anyone know this? When faced with a business problem, Lauren, a young shoe store owner, discusses business problems with Kurt, the assistant manager and an employee for over 30 years. Lauren believes Kurt "has seen it all" and knows there are few really new ideas; plus the business has done many simple things, such as offering friendly service, to create and maintain a competitive edge. Lauren's management style is best described as __________.A. bottom-up.B. family style.C. contingency.D. evidence-based.E. behavioral. Evaluate the following statement as you go deeper in the ocean water is colder and less salty Who won the Battle of Gettysburg? A) the Confederates B) the Union C) no one D) a treaty was signed before the battle ended Solve by graphing. (If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + y = 11 6x + 3y = 15