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

help me with my math plz

Answers

Answer:

the answer is "D: More students prefer model A1 calculators than model C3 calculators"

Step-by-step explanation:

A quality control inspector at a clothing manufacturer

Answers

Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.

Choose the inequality that represents the following graph.​

Answers

B: x is smaller than or greater to -3
I think it’s a B
I hope it help:)

Which graph represents a linear function?

Answers

Answer:

the 2nd

Step-by-step explanation:

linear just means line :)

Use the Multiplication Law of Exponents to solve the expression below. 91/2.91/2=​

Answers

Answer: 15.64

Step-by-step explanation:

kahn

1. Which of the angles below are supplementary?

Answers

Answer:

<3 and <4

Step-by-step explanation:

Find the length DE. Round your answer to the nearest tenth of a meter

Answers

Answer:

13.8

Step-by-step explanation:

We can use trigonometry to find the length of DE

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )

When working with opposite and adjacent we use the trig ratio tangent

That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )

so [tex]tan(51)=\frac{17}{x}[/tex]

now we solve for x

Step 1 multiply each side by x

tan(51) * x = x tan (51)

[tex]\frac{17}{x} *x=17[/tex]

now we have x tan (51) = 17

step 2 divide each side by tan (51)

[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]

we now have

[tex]x =\frac{17}{tan(51)} \\[/tex]

[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]

we're left with x = 13.76632856

Finally we round to the nearest tenth and get that the answer 13.8

plz help me illl give brainlist 5.0 and thanks plz help rn !!!

Answers

Answer:

4+4+1

Step-by-step explanation:

Answer:

4 + 4 + 1

Step-by-step explanation:

4 + 4 + 1 = 9

4 + 5 = 9

They both equal up to 9

EXPLAIN PLEASE HSHSJJS

Answers

the answer is c!!!! hope this helps

Write the equation for the line through the following cities. 16.Ankara and Tbilisi ______________________________________ 17.London and Warsaw ______________________________________ 18.Amsterdam and Minsk ______________________________________ 19.Oslo and Rome ______________________________________ 20.Bern and Riga ______________________________________ 21.Tallinn and Vilnius ______________________________________ 22.Madrid and Sofia __________

Answers

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the graph or points of each city are not given.

So, I will provide a general explanation.

To calculate the equation of line through two points;

Start by writing out the coordinates of the two points.

For instance:

[tex]London = (4,6)[/tex]

[tex]Warsaw = (20,10)[/tex]

This points will be represented as:

[tex](x_1,y_1) = (4,6)[/tex]

[tex](x_2,y_2) = (20,10)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{10 - 6}{20 - 4}[/tex]

[tex]m = \frac{4}{16}[/tex]

Simplify

[tex]m = \frac{1}{4}[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = \frac{1}{4}(x - 4) + 6[/tex]

Open bracket

[tex]y = \frac{1}{4}x - 1 + 6[/tex]

[tex]y = \frac{1}{4}x +5[/tex]

Apply the above steps in the original question

Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?

Answers

Answer:

170 pages

Step-by-step explanation:

Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution

The number of pages he read for the first day :

The first day 1/5 of the pages of the book

This is calculated as:

1/5 × 340 pages

= 68 pages

For the second day:

The second 1/4 of what remains to be read

The number of pages remaining after the first day is calculated as:

340 - 68 = 272 pages

Hence, the number of pages read on the second day is

1/4 × 272 pages

= 68 pages

For the third day

One the third day, 1/6 of the rest was read.

The number of pages remaining after the first day is calculated as:

272 - 68 = 204 pages

Hence, the number of pages read on the third day is

1/6 × 204 pages

= 34 pages

Therefore, the number of pages Roberto has to read on the fourth day is calculated as:

340 pages - (68 + 68 + 34)pages

340 pages - 170 pages

= 170 pages

My favorite bagel shop has 12 types of bagels, 10 types of cream cheese, and can choose to have it toasted or not . How many different bagels can order?

Answers

Answer: 240

Step-by-step explanation:

Given

Shop has 12 types of bagels, 10 types of cream and a option for roast

For making a bagel there are 12 choices to select a bagel, following this there are 10 choices for cream with a option to roast

So, total no different bagels that can be made out of the given is

[tex]\Rightarrow 12\times 10\times 2\\\Rightarrow 240\ \text{types}[/tex]

two people can plough a field in 6 hours. how long will it take 1 person ​

Answers

If two people can plough a field in six hours, it would take one person 12 hours. 6x2=12

Can somebody help me out my grade are bad

Answers

Just copy the triangle but on the opposite side I think. Take the coordinates and flip it onto the other side until its a perfect match
The answer is 2,6, 3,1 and 7,4.

Rosa says 4x and -6x are like terms, so they can be combined. Tiffany says 5a and 5b are like terms, so they can be combined. Is Rosa correct? Is Tiffany correct? Why or why not?
please help =)

Answers

Answer:

Rosa is correct, it's the variable that determines if something has like terms, not the coefficients.

Step-by-step explanation:

∆ABC is isosceles with legs AB and AC. If AC = 6 cm, and the perimeter is 15 cm, calculate m∠B.

Answers

Answer:

m∠B = 75.5°

Step-by-step explanation:

Since AC = 6, then AB = 6 and BC = 15-6-6 = 3

The altitude from A bisects side BC.  Let the point of intersection of the altitude and BC be point D.  Then BD = 1.5

Cos B = 1.5/6

m∠B = arcccos (1.5/6)

m∠B = 75.5°

The scatter plot shows the amount of sunlight some tomato plants received and the amount of each plant grew

Answers

Answer:

Option D

Step-by-step explanation:

The complete question is attached herewith.

Also the options for the same are as follows -

What is the meaning of the slope of the trend line shown on the scatterplot?  

A A plant grows about 3 inches for every 2 hours of sunlight it receives.  

B A plant grows about 2 inches for every 3 hours of sunlight it receives.  

C A plant grows about 3 inches for every 1 hour of sunlight it receives.  

D A plant grows about 1 inch for every 3 hours of sunlight it receives.

Solution

If we look at the graph, we can see that in 6 hours the tomato plant grew by 2 inches.

At the X axis, when x = 6 hours, the y co-ordinate at X = 6 hours is 2 inches.

Hence, It can be interpreted that 1 inch of the tomato plant grows in 3 hours.

Hence, option D is correct

The tile showen are placed in a bag you randomly select one of the tiles return it to the bag and randomly selecting Lo tile what is the probability that the first number divided by the second number is greater than zero

Answers

Answer:

15

Step-by-step explanation:

The probability that the first number divided by the second number is greater than zero is 1/3

What is probability?

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Tiles are numbered -2,-1,1,2

So, possibility first number divided by the second number is greater than zero

-2/-1=2

-2/1=-2

-2/2=-1

-1/-2= 0.5

-1/1=-1

-1/2=-0.5

1/-2=-0.5

1/-1=-1

1/2=0.5

2/-2=-1

2/-1=-2

2/2=1

Probability the first number divided by the second number is greater than zero = 4/12=1/3.

Learn more about probability here:

brainly.com/question/11234923

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Two expressions are shown below:

1. 514÷23
2. 514×32

Without solving these expressions, determine if they are equivalent. How do you know? (Please help..)

Answers

Answer:

Clearly they are not equivalent because division will get you a smaller number ( except when decimals are in used or special cases ) as an answer and division times the number that will oppositely get you a bigger number ( again, except the decimal or special cases )

Can someone plz help me out with this I’ll give b... plz I beg u ( i do t know how to spell it but u know what I mean)

Answers

Answer:

I think it might be 0.3 i'm not sure though

Step-by-step explanation:

9. Mr. McDonald has $500.00 to spend at a bicycle store. All prices listed
below include tax. He buys a new bicycle for $273.98. He buys 3 bicycle
reflectors for $7.23 each and 1 bicycle helmet for 42.36. he plans to use
the remaining money to buy new cycling outfits for $78.12 each. Write and
solve an inequality to determine the greatest number of cycling outfits
that Mr. Mc Donald can buy with the remaining money? *

Answers

Answer:

This will explain it

Step-by-step explanation:

To answer the question, you need to determine the amount Mr. Traeger has left to spend, then find the maximum number of outfits that will cost less than that remaining amount.

Spent so far:

... 273.98 + 3×7.23 +42.36 = 338.03

Remaining available funds:

... 500.00 -338.03 = 161.97

The cycling outfits are about $80 (slightly less), and this amount is about $160 (slightly more), which is 2 × $80.

Mr. Traeger can buy two (2) cycling outfits with the remaining money.

_____

The remaining money is 161.97/78.12 = 2.0733 times the cost of a cycling outfit. We're sure he has no interest in purchasing a fraction of an outfit, so he can afford to buy 2 outfits.

Jayden cooked 3 packages of hot dogs. Each package had 8 hot dogs. The guests ate
4 hot dogs. How many left over hot dogs does Jayden now have?
Math

Answers

Answer:

20

Step-by-step explanation:

First you want to find out how many hot dogs in this case, 3 x 8 which equals 24. Then you have to subtract 24 - 4 that equals 20.

Answer:

20

Step-by-step explanation:

There are 3 packages of hot dogs and each has 8 in it

8+8+8=24

24-4=20

The product of two positive numbers is 84. The larger number is 2 more than twice the smaller number. What is the larger number?

Answers

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00?

Answers

Answer:

160.13

Step-by-step explanation:

you would divide 6.75 by 100 then multiple that to 150 the you would take that answer and add it to 150

which scatterplot is it lol

Answers

Answer:

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point

HELP ASAPUse the table to identify values of p and q that can be used to factor
x2 + x - 12 as (x + p)(x + 4).
P
p +
2.
-2.
9
-6
6
4
3
-1
1
-3
4
A. 2 and -6
B. -3 and 4
C. -2 and 6
D. 3 and -4

Answers

the answer would be b

Option B is correct, the values of p and q in expression are -3 and 4.\

The given expression is x²+x-12.

This is expressed as (x+p)(x+q)

We have to find the values of p and q.

x²+x-12

Let us factorize the expression:

x²+4x-3x-12

x(x+4)-3(x+4)

(x-3)(x+4)

When we compare this with (x+p)(x+q) we get:

p=-3 and q=4

Hence, the values of p and q in expression are -3 and 4.

To learn more on Expressions click:

https://brainly.com/question/14083225

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What is the distance between the following points?
y
5
3
2
1+
++
-9-8-7 -6 -5 -4 -3 -2
-24
-3
-4+
.

Answers

I don’t know I’m just typing so I can get a Anwser for mine

Answer: c. √65

Step-by-step explanation:

that’s what’s right on khan

An airplane takes off 12.5 miles south of a city and flies due north at a constant speed of 170 miles per hour. What is the planes position relative to the city after 45 minutes

Answers

The airplane takes off 12 1/2 miles south of a city
Speed =180*3/4
=45*3
=135
135-12.5
The plane is 122.5 miles north to the city after 45 minutes

A recip says use 3 cups is flour to make 48 cookies what is the contact of proportionality that relays the number of cookies made y, to the number of cups of used, X

Answers

Answer:

16

Step-by-step explanation:

y = k * x

Where,

y = number of cookies made = 48

x = number of cups of used = 3

k = constant of proportionality

y = k * x

48 = k * 3

48 = 3k

k = 48/3

k = 16

Therefore,

The constant of proportionality = 16

The train journey between London King's cross and Durham is 2hours and 50 minutes. If a train leaves London at 08:40 at what time doses it arrive in Durham?

Answers

Answer:

11:30

Step-by-step explanation:

8:40 + 2 hours = 10:40

10:40 + 20 min = 11:00

11:00 + 30 min = 11:30

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