-Maggie turned right out of the school and drove 5 miles East to the store. She left the store and drove 2 miles North to Pelican's, then drove 5 miles South to her friend's house. When it was time to pick up her brother, she drove 7 miles West, then drove 4 miles North. Maggie and her brother then drove 2 miles East to get home. What is the displacement from Maggie's home to school?

Answers

Answer 1

Answer:

The school is at displacement of 1 mile towards South from the home.

Step-by-step explanation:

Let the origin, O, represents the location of the school.

Now, observe the attached figure for all the displacements as:

She drove 5 miles East to shore ( to point A)

So, OA=5 miles.

Then she drove 2 miles North to Pelican's ( to point B)

So, AB=2 miles.

Then she drove 5 miles South to her friend's house ( to point C)

So, BC=5 miles.

Then she  drove 7 miles West, to point D,

So, CD=7 miles.

Then she  drove 4 miles North, to point E,

So, DE=4 miles.

Lastly, she  drove 2 miles East, to reach home (the point F)

So, EF=2 miles.

Now computing the displacements in each direction.

The displacements in the East direction=OA+EF= 5+2= 7 miles

The displacements in the West direction =CD= 7 miles

As East and West are opposite to east other, so net displacements in the East direction = 7+(-7)=0, i.e the final point F ( home) is on the vertical axis as shown.

The displacements in the North direction=AB+DE= 2+4= 6 miles

The displacements in the South direction=BC=5 miles

As North and South are opposite to east other, so net displacements in the North direction = 6+(-5)= 1 miles which means final point F ( home) is located at 1 mile towards North from the school.

Hence, the school is at displacement of 1 mile towards South from the home.

-Maggie Turned Right Out Of The School And Drove 5 Miles East To The Store. She Left The Store And Drove

Related Questions

19 points Solve for c. 5/4c+12=2

Answers

Answer:

C= -8

Step-by-step explanation:

I used a calculator

Answer:

c=-8

Step-by-step explanation:

[tex]\frac{5}{4}c[/tex] + 12 = 2

1.25c + 12 = 2 ( change 5/4 to a decimal for easy understading)

1.25c + 12 - 12 = 2 - 12 ( isolate the variable rememebr whatever you do to the             right do it to the left )

1.25c = -10

1.25c / 1.25 = -10 / 1.25 (divide both sides by 1.25 )

c = -8

HOPE IT HELPED

Solve for indicated variable 4y + 3x= 5 for x

Answers

Answer:

4y + 15

Step-by-step explanation:

Alyssa is paid a 5 percent commission on her total sales each month. Last month, she sold $30,000 worth of items. After a state tax rate of 9 percent is deducted from her commission, how much is left to the nearest dollar?
$135
$150
$1,365
$1,500

Answers

$1,365 is the answer, (the third choice)

Answer:

c

Step-by-step explanation:

bc

A movie theater has two rooms. Room A has 7 rows of seats with 21 seats in each row. Room B has four times as many seats as Room A. How many seats are there in both rooms?

Answers

Answer:

588

Step-by-step explanation:

Because 7x21=147 then you take 147x4 and that equals 588 seats

2x+y=10 Find one non solution and solution. EXPAIN plz help i have a timed test ill make brainliest.

Answers

Answer:

x=20-y

y=20-x

Step-by-step explanation:

divide by 2 on both sides: x+y=20

to find x, subtract y:

x=20-y

to find y, subtract x:

y=20-x

nothing else can be done unless you know either y or x.

Multiply the polynomials (3x+4)(5x+1)

Answers

Answer:

15x^2 + 23x + 4

Step-by-step explanation:

(3x+4)(5x+1)

You put them around a square, like in the picture.

You then cross multiply them.

After that, add all the numbers together.

Hope this helped!

Divide. Write the quotient in lowest terms.
2 3/4 divided by 3

Answers

0.91666666666 hope this helps

Angle Pairs Relationships HW
Accessibility Mode

Pictures above

Find the value of each variable

1. A= ?
B= ?
C=?

2. A=?

3. A=?
B=?
C=?

Answers

Answer:

Step-by-step explanation:

1. A = 68

B = 112

c = 68

2. A = 127

3. A = 70

B = 55

C = 25

If the height of a mountain erodes away by a total of
1 cm in 5 years and it decreased by the same
amount each year, then what is that change in
height every year?

Answers

The change in height every year is 0.2cm aka 2 millimeters.

1cm/5years = 0.2cm/1yr

The table shows how fast four students ran the 200-meter dash.

200-Meter Dash Results
Student Time (seconds)
Ben 40.53
Katie 34.02
Griffin 29.80
Kristin 44.56

How much faster did Griffin run the 200-meter dash than Ben? Enter your answer in the box.

Answers

Answer:

Griffin was 10.73 seconds faster than Ben

Step-by-step explanation:

Here, given the information in the question, we want to know how faster was Griffin than Ben in the race

Mathematically, that will be;

|29.80 - 40.53| = 10.73

This shows that Griffin was 10.73 seconds faster than Ben

Which expression is equivalent to (3x2-6) – (5x2 - 7x+5)-(9x + 3)?

Answers

Answer:

It equals -2

Step-by-step explanation:

Candice paid her parents $45 for rent and divided the rest of her paycheck evenly into a checking account,a savings account,and a retirement fund.She put $192 in her savings account
A.Write an equation to represent the situation



B.How much was Candice paid

Answers

(x - 45) / 3 = 192

Let's solve for x to find how much Candice was paid. Multiply both sides by 3

(x - 45) = 576

Add 45 to both sides.

x = 621

Candice was paid $621

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answers

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

[tex]6y + 13y - 10 = 180[/tex]

[tex] 19y - 10 = 180[/tex]

[tex]19y = 180 + 10[/tex]

[tex]19y = 190[/tex]

[tex]y = \frac{190}{19} [/tex]

[tex]y = 10[/tex]

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

[tex]60 + 9x + 12 = 180[/tex]

[tex]9x + 72 = 180[/tex]

[tex]9x = 180 - 72[/tex]

[tex]9x = 108[/tex]

[tex]x = \frac{108}{9} [/tex]

[tex]x = 12[/tex]

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .

Write in simplest form. 12/15 Divided by 4/9

Answers

Answer:

9/5

Step-by-step explanation:

12/15 / 4/9

12/15 * 9/4

108/60

54/30

27/15

9/5

is 0.523 a rational number?​

Answers

Answer:

no

Step-by-step explanation:

Answer:

yes, it doesn't go on infinitely it stops at thousandths

If you read 28 pages a hour how many for hours per 1 page

Answers

Answer: 46.7

Step-by-step explanation:

Answer:

1/28

Step-by-step explanation:

[tex]\frac{x}{1}= \frac{1}{28}[/tex]

cross multiply and you get 1/28

the equation for the graph

Answers

Y=mx+b

Hope this helps, brainliest pls!

Please help me out!!! :)
How can you look at the equation of two lines and determine if they will be parallel?

Answers

Answer:

fafg and then do the 2a ab 2b

Step-by-step explanation:

Find X
9yd
12yd
x= yd

Answers

Answer:

x= 108

Step-by-step explanation:

9 multiplied by 12 is 108

Hope this helps!!

Which expression is NOT equivalent to 4 x 3/8

Answers

Answer:

yea

Step-by-step explanation:

please help!!

Find the measure of angle Q and length of QR.


The perimeter of QRS is 344 cm. m QR= _______

Answers

Answer:

[tex]m\angle {Q}[/tex] = 56°

QR = 167

y = 136

Step-by-step explanation:

Kalon has $175 and needs to save at least $700 for a new computer. If he can save $35 per week, what is the minimum number of weeks Kalon will need to save to reach his goal?

Answers

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

good luck on your assignment

The other answer on the red box is 7.

Answers

Answer:

8

Step-by-step explanation:

that is an isosceles triangle. they have 2 sides that are the same

8*4 is 32+7 is 39

9*8 is 72-33 is 39

answer both please :))))

Answers

Answer:

Y-intercept (0,4)

X-intercept (0,2)

Step-by-step explanation:

It the point where the line crosses the y or x intercept

David made an error when determining the product of (–2.5)(–8.3). Step 1: (–2.5)(–8.3) = (–8.3)(–2.5) Step 2: = (–8.3)(–2) + (–8.3)(–0.5) Step 3: = (–16.6) + (–4.15) Step 4: = –20.75 In which step did David make his first error? Step 1 Step 2 Step 3 Step 4

Answers

Answer:

Step 3.

Step-by-step explanation:

We need to tell the incorrect step in the given problem for the product of        (–2.5)(–8.3)

Step 1. (–2.5)(–8.3) = (–8.3)(–2.5)

Step 2:

We can write -2.5 = -(2+0.5)

(–8.3)(-(2+0.5)) = (–8.3)(-2)+(-8.3)(-0.5)

= 16.6 + 4.15

Step 3.

= 20.75

He has done an error in step 3. It should be 16.6 + 4.15 instead of (–16.6) + (–4.15). As a result, he get incorrect answer.

Answer:

it is step 3

Step-by-step explanation: i just took the test mark me brainliest lol :>

Help me Plzzzzz!! ASAP!

Answers

All I can really say it it would be a linear function and the y axis is -3 but I can’t really help if I don’t know what the question is to the problem

if there is 1$ in taxes on 25$ worth of clothing, what percent is paid for the 25$ in clothing?

Answers

Answer:

Well it would be 4 percent

Step-by-step explanation:

Thinm of it this way, if you mutliply 25 times 4 it equals 100 then mulitply then 1 dollar by 4 getting 4 dollars worth of tax making it 4 percent of the total ckst

(x - 9) (x + 1)
Use F.O.I.L to expand

Answers

ok f.o.i.l

Farting.On.Iggy.Lucky

Answer:

x²-8x-9 i think?

Step-by-step explanation:

Please help!!!
Geometry

Answers

Answer:

estimately 10.3

Step-by-step explanation:

the area of a square garage is 121 square feet. will it fit a car that measures 13 feet long? explain​

Answers

Answer:

It won't because the area is length times height. So 11 x 11. So some of the car will be hanging out of the garage.

Step-by-step explanation:

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