At noon three students, Abby, Ben, and Cassie, are standing so that Abby is m west of Ben and Cassie is m east of Ben. While Ben stays in his initial position, Abby begins walking south at a constant rate of m/min and Cassie begins walking north at a constant rate of m/min. In how many minutes will the distance between Cassie and Ben be twice the distance between Abby and Ben?

Answers

Answer 1

Answer:

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben. In minutes Abby will walk m and Cassie will walk m. The following diagram contains the information showing Abby’s position, , Ben’s position, , and Cassie’s position, , at time .

A right-angled triangle is formed by joining Abby's initial position to points A and B. Its hypotenuse is A B and its other sides are of length 100 and 20 times t. Another right-angled triangle is formed by joining Cassie's initial position to points C and B. Its hypotenuse is B C and its other sides are of length 160 and 41 time. Represent Abby, Ben and Cassie’s respective positions at noon as points on the -axis so that Ben is positioned at the origin , Abby is positioned units left of Ben at and Cassie is positioned units right of Ben at .

solution 2

Let represent the number of minutes until Cassie’s distance to Ben is twice that of Abby’s distance to Ben.

In minutes Abby will walk south m to the point . In minutes Cassie will walk north m to the pointTherefore, in

minutes ( minutes seconds), Cassie’s distance to Ben will be twice that of Abby’s distance to Ben. .


Related Questions

plzzzzz help will mark brainliest

Answers

answer: -5.3’ Fahrenheit

PLEASE HELP ASAP GIVING 100 POINTS

1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain

2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.

Answers

Answer:

this is so easy like just put variables a in b

Step-by-step explanation:

hope you get it

The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be  the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)

what ratio is the same as 2/3?
a ) 8 / 12
b) 6 / 12
c) 9 / 12
d) 10 / 12

Answers

Answer: a) 8/12

Step-by-step explanation:

Both numbers have to be the same for it to be equal: More info below.

The answer is a) because 8 divided by 2 is 4, and 12 divided by 3 is also 4.

It is not b) because 6 divided by 2 is 3, but 12 divided by 3 is 4.

Not c) because 9 divided by 2 is 4.5, and 12 divided by 3 is 4.

Not d) because 10 divided by 2 is 5, and 12 divided by 3 is 4.

Therefore, the answer is a) 8/12.

Hope this helps!

To convert Celsius to F&nrenheit, multiply the Celsius temperature by 9/5 and
then add 32. The temperature outside is 5 degrees Celsius, what is the
temperature in degrees Fahrenheit?*
66 degrees
20 degrees
63 degrees
41 degrees

Answers

Answer:

41

Step-by-step explanation:

9/5  x 5  = 9

9 +32= 41

Can u guys help me plz?

Answers

the answer would be a

Calculate the population
data set;
mean for the following
40, 50, 55, 78,58,60,73, 35, 43, 48.

Answers

Answer:

I think it’s 11.8

Step-by-step explanation:

The function f(x) = 1.25x^2 models the packaging costs, in cents, for a box shaped like a rectangular prism. The side lengths are 2x in., 2x in., and 0.5x in. What are reasonable domain and range values for this function, if the longest side length of the box can be no greater than 20 in.? Write the answers in interval notation.

Answers

Answer:

I’m not sure but I need this too!!

Step-by-step explanation:

After that incident, the Civil defense team decided to buy new trucks with ladders higher than 100 feet. They found 2 different trucks with the same height of ladders. The first truck costs $145,000 and will cost $0.31 per mile traveled based on the current gas prices. The second truck will cost $160,000 but gets better gas mileage, costing $0.27 per mile. They need to decide which truck is the best deal.

Answers

Answer:

the first truck

Step-by-step explanation:

the cost difference between the first truck and the second truck = $160,000-$145,000 = $15,000

the difference of gas cost between the first truck and the second truck = $0.31 - $0.26= $0.05 per mile.

so,

I think, this is a very significant number of truck cost compared with gas cost

for the best deal, the first truck is the best choice.

In the number 576,439,260 the 4 is in

A. the millions place.

B. the thousands place.

C. the ten thousands place.

O D. the hundred millions place.

O E. the hundred thousands place,

Answers

E. The hundred thousands place
answer choice E, hundred thousands place because 439,260

What is the exact value of tan(300°)?

Answers

Answer:

The exact value of tan 300° is ⏩ - √3

Hope it will help :)❤

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

Answers

I DONT KNOW LOL PLS STOP CHEATING

What is the area of the parallelogram? ​

Answers

Answer:

A=Bh

Step-by-step explanation:

use that formula for your calculation and it should help hopefully

In a local car lot, 1/6

of the cars have standard transmissions. Find the

probability that 3 of 4 randomly-selected cars have standard transmissions.

Answers

Answer: [tex]\dfrac{5}{324}[/tex]

Step-by-step explanation:

Given

Probability that car has a standard transmission is [tex]\frac{1}{6}[/tex]

So, the probability that the car does not have transmission is

[tex]1-\dfrac{1}{6}=\dfrac{5}{6}[/tex]

Probability of that 3 out of 4 randomly selected cars have standard transmissions is given by selecting 3 cars with standard deviation and then multiply by their respective probabilities

[tex]\Rightarrow P=^4C_3\cdot \left(\dfrac{1}{6}\right)^3\cdot \left(\dfrac{5}{6}\right)\\\\\Rightarrow P=4\times\dfrac{5}{6^4}\\\\\Rightarrow P=\dfrac{20}{1296}\\\\\Rightarrow P=\dfrac{5}{324}[/tex]

I WILL CROWN YOU BRAINLYIST HELP
A truck delivers 14,000 pounds of gravel.

How many tons are in 14,000 pounds?

Answers

Answer:

7000

Step-by-step explanation:

Thus the truck delivers 7 tons of gravel.

What is a unit conversion?

"A unit conversion expresses the same property as a different unit of measurement. A conversion factor is a ratio that expresses how many of one unit is equal to another unit".

For the above situation,

A truck delivers 14,000 pounds of gravel.

We know that,

1 US ton = 2000 pounds

Thus, 14000 pounds = [tex]\frac{14000}{2000}[/tex]

⇒ [tex]7 tons[/tex]

Hence we can conclude that the truck delivers 7 tons of gravel.

Learn more about unit conversions here

https://brainly.com/question/20950399

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The sum of a number and five divided by fifteen

Answers

Answer:

Option F

Step-by-step explanation:

Let the number be n.

Sum of a number and 5 is n + 5.

Sum of a number and five divided by fifteen is

( n + 5 ) / 15

what is x? 60 or 100

Answers

The answer is 60 to form the side of 180
the whole is 180 degrees so just do 180-120 which equals 60 degrees

Find the area of this circle. Use 3 for T.
A = r2
10 ft
[?] ft2

Answers

Step-by-step explanation:

Area of circle =πr²

3×5×575ft²

stay safe healthy and happy.

Answer:

The area is 75

Step-by-step explanation:

Because 10/2 is 5

5x5=25

25x3=75

Pleaseeee help me it’s a pre quiz and I’m alone with the teacher

Answers

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

I literally forgot how to do this plz help ASAP

Answers

Answer:

3/8

Step-by-step explanation:

3/10 ÷ 4/5

Copy dot flip

3/10 * 5/4

Rewriting

3 /4 * 5/10

3/4 *1/2

3/8

Answer:

B

Step-by-step explanation:

flip the 4/5 to 5/4 and multiple instead of divide to give you

= 3/10 x 5/4

Multiply denominators and numerators by each other (3 x 5 and 10 x 4) to give you

= 15/40

SImplify and your answer is

= 3/8

Help me please I need it

Answers

Step-by-step explanation:

see the photo for explanation

Answer:

We are finding hypotenuse

3^2 + 2.5^2

9 + 6.25 = 15.25

3.9^2 = 15.21 close enough.

3.9 would be your answer.

When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.

Which equation represents a line that passes through (4, 5) and has a slope of 3/4 ?
Oy-- (x - 4)
Oy-} = (x-4)
O y = 4(x - 2)
O y - 4 =

Answers

y = 3/4x +b
5= 3/4*4 + b
5=3+b
b=2
y=3/4x+2

The equation of line is y = ( 3/4 )x + 2 and the slope is m = 3/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 5 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = 3/4

And , equation of line is y - y₁ = m ( x - x₁ )

On simplifying , we get

y - 5 = ( 3/4 ) ( x - 4 )

y - 5 = ( 3/4 )x - 3

Adding 5 on both sides , we get

y = ( 3/4 )x + 2

Hence , the equation of line is y = ( 3/4 )x + 2

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ7

Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?

Answers

Answer: the area is affected by crime. He is protective of his money. Both right on edge

Step-by-step explanation:

Answer: a b

Step-by-step explanation:

Which graph represents a linear function?

Answers

Answer:

the 2nd

Step-by-step explanation:

linear just means line :)

*yawn*...............

Answers

Answer:

yawwwwwwnnn......,....done

I need help I think we are almost done ;-;

Answers

Answer:

C)

Step-by-step explanation:

Asked the wrong question minutes ago. The question I need answering is here, in the included photo.

Answers

Step-by-step explanation:

m L 1 = 180°-75° = 105° ( angles in one side)

m L 2 = 75° (corresponding angles)

Vertical angles have sum 180

m<1=

180-75105°

m<2

180-10575°

PLEASE I NEED THE ANSWER IN THE NEXT MINUTE

Answers

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

9 - (12 + 3) + 8 x 2 using PEMDAS.


Helppppp!!!!

Answers

Answer: 10

Step-by-step explanation:

parenthesis first 9 - 15 + 8 x 2

multiply 8 x 2

you now have 9 - 15 + 16

subtract first because addition and subrtaction go in the order they're in the equation: 9 - 15 = -6

then add -6 + 16 = 10

What is the approximate volume of the cylinder?Use 3.14 for pi.

Answers

Answer:

Third option (452.16)

Step-by-step explanation:

The formula for the volume of a cylinder is:

V=πr²h

------

Our calculation will be:

3.14 × 16 × 9 = 452.16

-------

Have a good day :)

Answer:

V≈1017.88

I hopr this helps

What is the median of the stem and lear plot

Answers

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

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