Anita and Brad are each riding on the same bicycle path. Anita began riding at the start of the park and is riding at a rate of 18 miles per hour. Brad began from a spot 10 minutes ahead of her and us riding at a rate of 13 miles per hour. Part A write a system of equations to represent x, the number of hours it takes Anita and abroad to travel y miles along the path. Part B after how many hours do Anita and Brad meet on the path

Answers

Answer 1

Answer:

Part A

The system of equations are;

x = y/18

x + 1/6 = y/13

Part B

13/30 hours

Step-by-step explanation:

The path on which Anita is riding = The path on which Brad is riding

The point at which Anita starts riding = The start of the park

The rate at which Anita is riding = 18 miles per hour

The time at which Bras began = 10 minutes ahead of Anita

The rate at which Brad is riding = 13 miles per hour

Part A

Let 'x' represent the number of hours it takes Anita and Brad to travel 'y' miles along the path, we have;

The 'x' number of hours it takes Anita to travel 'y' miles is given as follows;

x = y/18

For Brad, we have;

10 minutes = 1/6 of an hour

The 'x'' number of hours it takes Brad to travel 'y' miles is given as follows;

x' = y/13

The duration Brad has traveled, when Anita has traveled for 'x'' hours = x + 1/6 hour

x' = x + 1/6

∴ x + 1/6 = y/13

Part B

Therefore, to travel the same 'y' mile as Anita , we have;

x + 1/6 = y/13

y = 13 × (x + 1/6) = 13·x + 13/6

y = 13·x + 13/6

For Anita, we had; x = y/18

∴ y = x × 18 = 18·x

Equating both y-values gives;

y = y

∴ 13·x + 13/6 = 18·x

18·x - 13·x = 5·x = 13/6

x = 13/(5 × 6) = 13/30 hours

The number of hours it will take Anita and Brad to meet on the path = 13/30 hours (equivalent to 13/30 hour × 60 minutes/hour = 26 minutes)


Related Questions

please answer my Questions I have Summative Assessment math

Answers

Answer:

a. Yes

b. 3x+7

c. 105 cm

Step-by-step explanation:

a. a(1)+b=10

   a(2)+b=13

when you solve this by elimination or simultaneously: a=3 and b=7

∴ f(x)=3x+7

b. f(x)=3x+7

c. 3(35)+7=112 cm

What is the domain of the function Y = tan(x/8)?
Oall real numbers except 4pi+4npi where n is any integer
Oall real numbers except 4pi+8npi where n any integer
Oall real numbers except 8pi+4npi, where n is any integer
Oall real numbers except 8pi+8npi, where n is any integer

Answers

Answer:

B) all real numbers expect 4pi+8pi where n is any integer

Step-by-step explanation:

The domain of the function y = tan(x/8) is given by: All real numbers except 4π+8nπ , where n is any integer.

What is the domain of a function?

The domain is the set that contains all possible input values for the function.

Since we know that Tangent of an angle is sine of the angle divided by the cosine of the angle, and the cosine is 0 at:

π/2 + nπ

Hence, let a composite tangent function , the domain is given by:

f(x) does not equal to π/2 + nπ

we have that , hence the domain is:

all real numbers except 4π+8nπ

All real numbers except 4π+8nπ, where n is any integer.

More can be learned about the domain of a function at brainly.com/question/27730656

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10, 20, 30, 40 minutes 60,120,180,240 calories burned how many calories will Alexa burn in 11 minutes

Answers

Answer:

67 calories

Step-by-step explanation:

because its bettween one

Mark estimated that he would spend $300 of his paycheck on seven items that cost $50 each. Why is this not reasonable?

A. It is not reasonable because seven items could not all cost $50.
B. It is not reasonable because seven items at $50 each, would cost a total of $350.
C. It is not reasonable because seven items at $50 each would only cost $420.
D. It is not reasonable because he would have too much money left over.

Answers

It’s B It’s not reasonable because seven items at $50 , would cost a total of $350 he would need $50 more

If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____

Answers

Answer:

Degree must be odd.

Step-by-step explanation:

In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.

Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.

Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.

a square with a side of 2 cm is dilated by a factor of 7/3 what is the side length of the dilated figure?

Answers

Answer:

14/3 cm

Step-by-step explanation:

The lengths of sides of a figure get multiplied by the dilation factor.  The dilated square has side length 2 x 7/3 = 14/3.

PLEASE HELPPPPP :)!!!

Answers

Answer:

answer: 521

Hope that helps!

Find the measure of angle 3

A. 45°
B. 90°
C. 30°
D. 12°

Answers

Measure of angle 3 is A) 45

can somone help plz i need help

Answers

Answer:

about 7.3 units

Step-by-step explanation:

to find the answer you do Pythagorean theorem

so you have (-9, -4) and (-2, -6)

you do X1-X2 and Y1-Y2

so -4-(6)=2

and -9-(-2)= -7

now you do a^2 + b^2 = C^2

so 2^2 + -7^2 = C^2

which is 4 + 49= C^2

53=C^2

√53=7.3

so 7.3 units :)

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Answers

Answer:

8 red haired and 42 brown haired

Step-by-step explanation:

I chose a random number to start off with (which is 8) and I multiplied it by 5.

8•5=40 and then you have to add 2, so you get 42.

42+8 = 50

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Turn the word problem into an inequality. "There were at least 250 students at the dance."

Answers

Answer:

x ≥ 250

Step-by-step explanation:

i think thats what it is, but i could be wrong. sorry if i am.

How many DVDs can you buy with $192 if one DVD costs $16?”

Answers

Answer:

You could buy 12 DVDs when one DVD costs $16.

Step-by-step explanation:

192 / 16 = 12

2. How many students are there in Katy's study?
Write your answer in the space below.

Answers

Answer:

39 Students

Step-by-step explanation:

Answer:

there are 38 students

Step-by-step explanation:

9+10=19  

19+7= 26

26+18=38

pls help 100 points
pls show step by step explanation and if possible handwritten work
thank you
and you need to factorise ​

Answers

Answer:

This is a required answer:look it once.

converir 150g a radiones

Answers

Answer:

?

Step-by-step explanation:

PWEASE HELP ILL GIVE BRAINLIEST
Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?

Answers

Answer:It is 5/8 of a pound heavier

Step-by-step explanation:

1 1/4 - 5/8=5/8

Answer:

The larger package is twice as heavy

Step-by-step explanation:

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ТЕКСТ ЗАДАНИЯ
Задание No 7
Длина прямоугольника равна сумме утроенного значения ширины и числа 2.
а) Запишите данное утверждение с помощью символов.
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Answers

Answer:

Mba'epio la he'i pava pepe

A disc has a diameter of 23 cm. The inner hole in the disc has a radius of 2 cm. Find the circumference of both the inner hole and the entire disc. Round to the nearest whole centimeter.

Answers

Answer:

Inner hole: 13 cm; Whole disc, 72 cm

Step-by-step explanation:

Connexus 2021

PLEASE HELP ME GOOD RATING

Answers

Answer: 76 %
Explanation:
What I did below was create a ratio table with a part whole relationship. The whole for the money was the income and the for the money part was the taxes. Then on the other side is perfect since every percent is out of 100, 100 is on the whole side. Then I used x to represent the percent of her annual income she pays in taxes. In order to find x you multiply the taxes by 100 and divide by the income.

So the Nader is 300 and the other one is 400

Please help! i only have 4 more hours to get caught up!!

Answers

Answer:

I thinks it's y=3x+5

Step-by-step explanation:

try to use desmos to calculate it

It's 3 dot sksjfjjanrjrr

Two forces, one of 45 pounds and the other 50 pounds, act on the same object. The angle between the forces is 33°. Find the magnitude of the resultant vector. Pls help :( cant afford to fail

Answers

Answer:

The magnitude of the resultant force is: 27.40 pounds

Step-by-step explanation:

Given

[tex]F_1 = 45[/tex]

[tex]F_2 = 50[/tex]

[tex]\theta = 33[/tex]

Required

The magnitude of the resultant vector

To do this, we apply cosine formula

[tex]R^2 = F_1^2 + F_2^2 - 2 * F_1 * F_2 * \cos(\theta)[/tex]

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[tex]R^2 = 2025+ 2500 - 4500* 0.8387[/tex]

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[tex]R^2 = 750.85[/tex]

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Answers

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b = √2704

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PLZ ANSWER WILL GIVE BRAINLIEST *NO LINKS*

Answers

Answer:

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Answers

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Answers

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Step-by-step explanation:

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Answers

5 less would be -5

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Answer:

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Step-by-step explanation:

let assume the number is x:

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A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
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Answers

Answer: -1.5

Step-by-step explanation:

took the test

The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

A machine packages bags of almonds.

The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.

Then the z-score of a bag of almonds weighing 12.2 ounces will be

z-score = (x - mean) / SD

z-score = (12.2 - 14) / 1.2

z-score = -1.8 / 1.2

z-score = -1.5

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 333 different types of transportation (bus, train, and plane) and 222 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time. Whose display correctly represents the sample space? Choose 1 answer: Choose 1 answer: (Choice A) A Sonya only (Choice B) B Jade only (Choice C) C Both (Choice D) D Neither Sonya's display: \quad Jade's display: \text{B}= \text{Bus} \\ \text{T}= \text{Train} \\ \text{P}= \text{Plane}B=Bus T=Train P=Plane \text{M}= \text{Morning} \\ \text{E}= \text{Evening}M=Morning E=Evening \quad

Answers

Answer:

Step-by-step explanation:

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I support this answer it’s correct I see it ♥️

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Answers

Answer:

n = - [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

Given

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7n = - 4 ( divide both sides by 7 )

n = - [tex]\frac{4}{7}[/tex]

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