Alicia lives in a town whose streets are on a grid system, with all streets running east- west or north-south without breaks. Her school, located on a corner, lies three blocks south and three blocks east of her home, also located on a corner. If Alicia only walks south or east on her way to school,

how many possible routes can she take to school?

Answers

Answer 1
To get to the school Alicia should walk 3 times south and 3 times east: SSSEEE. Total # of routs to the school is # of permutation of SSSEEE, which is 6!/(3!3!)=20 (# of permutations of 6 letters out of which 3 S's and 3 E's are identical);

Now, we wan to count all the routs which start with {SS}. So, {SS} is fixed and then there can be any combination of the rest 4 letters SEEE. So, all possible routs which start with {SS} equal to # of permutation of SEEE, which is 4!/3!=4 (# of permutations of 4 letters out of which 3 E's).

P=4/20=1/5.

Hope this helps !

Related Questions

The sale price of an item is $160 after a 20% off discount. What was the original price of the item?

Answers

Answer:

200

Step-by-step explanation:

160/80 is 2. 2 times 100 is 200

plz help the more i type and what not the more my wrist hurts so plz help ASAP SO I CAN REST IT

Answers

Answer:

You got the answer already but whatever

50.41 and 51.84

Step-by-step explanation:

Like you already have the answer up there.

I think it’s 7.14 and 7.15

Work out an approximate solution to x^3+2x-1=0 use the iteration...... Help please!!!!?????

Answers

Approximate solutions are the estimate values of an equation

The approximate solution of the equation is x = 0.45

How to determine the approximate solution

The equation is given as:

[tex]x^3 + 2x- 1= 0[/tex]

The iteration is given as:

[tex]x_{n+1} = \frac{1}{x_n^2 + 2}[/tex]

To start with, we have:

[tex]x_1 = 1[/tex]

So, we have:

[tex]x_2 = \frac{1}{1^2 + 2} = \frac 13 =0.33333333[/tex]

The next iteration is:

[tex]x_3 = \frac{1}{0.33333333^2 + 2} = 0.47368421102[/tex]

The next iteration is:

[tex]x_4 = \frac{1}{0.47368421102^2 + 2} = 0.4495641344[/tex]

The next iteration is:

[tex]x_5 = \frac{1}{0.4495641344^2 + 2} = 0.45411035264[/tex]

The next iteration is:

[tex]x_6 = \frac{1}{0.45411035264^2 + 2} = 0.45326473189[/tex]

Notice that:

x5 and x6 have the same value to 2 decimal places.

i.e. [tex]x_5 \approx x_6 = 0.45[/tex]

Hence, the approximate solution of the equation is x = 0.45

Read more about approximate solutions at:

https://brainly.com/question/10171109

IF YOU GOOD AT MATH PLZ HELP!!!! Algebra II

Answer :????

Answers

Answer:

C) lt is the graph of y=x^2 translated 6 units up and 5 units to the right.

Christopher saves $550 every month. Assume that Matthew and Christopher both save money at constant rates. Whose unit rate s higher, and
by how much?
OA Christopher's savings per month Is higher than Matthew's savings per month by $50 per month.
OB. Matthew's savings per month is higher than Christopher's savings per month by $50 per month.
OC. christopher's savings per month Is higher than Matthew's savings per month by $100 per month.
OD. Matthew's savings per month is higher than Christopher's savings per month by $100 per month.
OE. Matthew and Christopher both save the same amount, $550 per month.

Answers

Answer:

The correct answer is:

Matthew's rate is higher by $50 per month.

Step-by-step explanation:

We know that Christopher's rate is $550 per month.

To find Matthew's rate, we will treat the data we have as ordered pairs:

(3, 1800)

(6, 3600)

(9, 5400)

We find the slope of the line between these points.  The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.

This is higher than Christopher's by 600-550=$50 per month.

What is the missing number

Answers

Answer:

11/12

Step-by-step explanation:

9/11 x 11/12 = (3 x 3)/11 x 11/(3 x 4) = 3/4

the answer is 11/12.

A jar contains 600 marbles, 240 of which are blue. If Nancy reaches in and grabs a handful of 70 marbles, estimate how many of them should be blue?

Answers

Answer:

28 blue marbles

Step-by-step explanation:

600 divided by 240 = 2.5

70 divided by 2.5 = 28

What value(s) of x will make x2 = 9 true? O A. 3 and -3 O B. 3 a O c. 3 O D. 81 and -81​

Answers

Answer: D. 3

Step-by-step explanation:

3 times 3 equals 9 so the answer is 3

Answer:

The answer is 3.

Step-by-step explanation:

I took the quiz and got 100%

Help with number 15 plz

Answers

Answer:

9.11

Step-by-step explanation:

√83=9.110433579

round 9.110433579 to get 9.11

Kali had a total of 212121 balloons at her birthday party. The ratio of blue balloons to green balloons is shown in the tape diagram. How many blue balloons did Kali have at her party?

Answers

Answer:

Blue balloons = 12

Step-by-step explanation:

Total no of balloons = 21

Let us assume that the ratio of blue balloons to green balloons is 4:3.

Let there are 4x blue balloons and 3x green balloons.

ATQ,

4x+3x = 21

7x = 21

x = 3

Blue balloons = 4x

= 4(3)

= 12

Hence, she will have 12 blue balloons at her party.

On every three hamburgers that McDonalds makes, they use 9 pickles. How many pickles would they use on 100 burgers?

Answers

Answer:

300 pickles

Step-by-step explanation:

9/3=3, 3*100=300

Answer:

11.1 repeating

Step-by-step explain

You would figure out that they have 3 pickles on each burger so do 100/9 and 11.1 repeating.

Hey I need some help (girl only) so today ive been having cramps and then I got my period and I’m at a program rn and it’s in the chair so what do I do and don’t report this bc this is a question

Answers

Answer:

sprint outta there and dont look back

Step-by-step explanation:

Hi I just want points

Step-by-step explanation:

PLEASE ANSWER FAST

On 1 September, Leila starts to go swimming every day.
She swims 30 lengths of the swimming pool every day. The swimming pool is 20m long.
Work out the date when Leila has swum a total of 10 km.


Answers

Answer:

22 November

Step-by-step explanation:

First we have to find the total length she swims in 1 day

= 2(length of the swimming pool) x no. of lengths she swims in 1 day

=2x30x20

=120m she covers in 1 day

10km = 10,000m

no of days= total distance/ distance she covers in 1 day

=10000/120

=83.3 days

Which equation justifies why 7^1/3 = 3 square root 7?

Answers

Answer:

c

Step-by-step explanation:

I took the test and got it right

The correct equation that justifies why seven to the one-third power equals the cube root of seven is option C: [tex](7^{(1/3)})^3[/tex]=[tex]7^{(1/3 * 3)[/tex]=7.

C. Seven to the one-third power all raised to the third power equals seven to the one-third times three power equals seven.

Let's break down the steps:

Seven to the one-third power all raised to the third power:

[tex](7^{(1/3)})^3[/tex]

Using the property of exponents [tex](a^{(m*n)} = (a^m)^n)[/tex] to simplify:

[tex]7^{(1/3 * 3)[/tex]

The exponent 1/3 multiplied by 3 is equal to 1:

[tex]7^1[/tex]

Any number raised to the power of 1 is itself, so:

7

This justifies that [tex]7^{(1/3)[/tex] raised to the power of 3 is equal to 7.

Therefore, [tex]7^{(1/3)[/tex] is equal to the cube root of 7.

To learn more on exponent number click:

brainly.com/question/19467739

#SPJ4

which term best decribes the graph of y= x-1​

Answers

Answer:  This is a linear equation. The graph is a diagonal line with a slope of +1. The y-intercept is -1

Step-by-step explanation: The line intersects the y-axis at -1 and the x-axis at +1

What’s the answer ?..

Answers

Answer:

one half

reduction  

Step-by-step explanation:

69 POINTS!! PLS HELP!! PLATO

if f(x)=the square root of x, which equation describes the graphed function?

Answers

Answer:

i think it’s C

Step-by-step explanation:

-f(x) represents -square root of x, so i plugged negative square root of x subtracted by three into desmos and it matches the graph !

Answer:

y = -f(x)-3

Step-by-step explanation:

Just took the edmentum/plato test and I got it right. I also included my answer

Give the slope and y-intercept of
the line.
slope = [?], y-intercept = [ ]
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Slope = 2, y-intercept = 3

Step-by-step explanation:

I will be calculating the slope of the line using these two points: (-1, 1) and (0, 3)

Slope = [tex]\frac{rise}{run}[/tex]

          = [tex]\frac{3-1}{0-(-1)}[/tex]

          = [tex]\frac{3-1}{0+1}[/tex]

          = 2

Based on the graph, the y-intercept is 3.

Give Brainliest (help ASAP)

Answers

Answer:

12a)  4L - 6 = Perimeter

13) 4(6x + 9)

Step-by-step explanation:

for #12:  two sides of the rectangle are referred to as L

The other two sides can be referred to as L-3 (these sides are the width, which are 3 less than the length)

Perimeter = sum of all sides; so, 2L + 2(L-3)

P = 2L + 2L - 6

  = 4L - 6

Answer: 12. The expression is 2L+2(L-3)

13. The answer is 6x+9

Step-by-step explanation:

12. The perimeter of a rectangle is 2*length +2*width. So, in this case (when L is the length of the rectangle) the perimeter should be 2L+2(L-3). If you simplify you will get 4L-6.

13. The perimeter is just the value you get when all the sides of a shape are added. A square has 4 equal sides. So, just divide the perimeter, which in this case is (24x+36), by 4. You should get 6x+9.

An investor invested a total of ​$2100 in two mutual funds. One fund earned a ​4% profit while the other earned a ​2% profit. If the​ investor's total profit was ​$62​, how much was invested in each mutual​ fund?

Answers

Answer:

x+y=2100

x(0.04) + y(0.02) = 62

(2100-y)(0.04)+ 0.02y = 62

84-0.02y = 62

22/0.02=y

y=1100

x=1000

M is the midpoint of LN¯¯¯¯¯¯¯¯.
What is LM? LM =
What is LN? LN =
x =

Answers

X=2
LM=6
LN=6
LM=LN
3x=2x+2

Please help me.? I'm stuck on this last question

Answers

Answer:

9-pack of hot dogs for $3.61

Answer:

Step-by-step explanation:

This is a question on the unit price. The better buy is the lower unit price. But that only works if you have 8 people to share the dogs with.

2 dogs cost 0.81

1 dog is 0.81/2 = 0.405 which you should write as 0.41

9 dogs are 3.61

1 dog is 3.61/9 = 0.401 what you (again) should be 0.41

Ever so marginally, you should pick the 2 dogs if there are only 2 people and 9 dogs if you are buying for a baseball team.

expanded form of 5(2m)³

Answers

Answer:

[tex]40m^{3}[/tex]

Step-by-step explanation:

Because of order of operations, you do exponent first. [tex](2m)^{3} =8m^{3}[/tex]. Lastly 8 multiplied by 5 is 40, so the answer is [tex]40m^{3}[/tex]

HELP!! What is the value of x??

Answers

Answer:

X = 41°

Step-by-step explanation:

Sum of interior Angles of a ∆ is 180°

[tex] \angle1 + \angle2 + \angle3 = 180 \degree [/tex]

[tex]Here \\ \angle1 = 105 \degree \\ \angle2 = ? \\ \angle3 = x[/tex]

[tex] \angle4 = 146 \degree[/tex]

[tex]here \: \angle2 + \angle4 = 180 \degree \\ \: (liner \: pair \: angle) degree\\ \angle2 + 146\degree = 180 \degree \\ \angle2 = 180 \degree - 146\degree \\ \angle2 = 34\degree[/tex]

[tex] \angle1 + \angle2 + \angle3 = 180 \degree \\ 105\degree + 34\degree + x = 180\degree \\ 139\degree + x = 180\degree \\ x = 180\degree - 149\degree \\ x = 41\degree[/tex]

HELP ASAP PLEASE HELP QUICK!!!!
с
Mrs. Berry's class organized the lunch orders for their upcoming party in the table below.
Lunch Orders for the Class Party
Lunch Choice
Number
Vegetarian Sandwich
3
Turkey Sandwich
7
Pepperoni Pizza
8
Cheese Pizza
10
Which ratio represents the number of orders for pepperoni pizza to cheese pizza?
O 4.5
05:4
10
8
18
10

Answers

Answer:

4:5 that's last answer i got

PLSSS HELPPPPPPPPPP!!!

Answers

Answer: about 3 i think

Step-by-step explanation:

Cardinal number of set A=1,2,3,4,0,7 is 6

Answers

Answer:

n(A) = 6

Step-by-step explanation:

Let consider a set A = {a, m, b, d, h}. There are five elements in the set. The no of elements in a set is known its cardinality. Since set A has five elements, its cardinality number is 5. The cardinality of the set A is denoted by n(A).

Hence, from the given information:

The set A = {1, 2, 3, 4, 0, 7} have a cardinality number of 6

n(A) = 6

What is 7,459,82 rounded to the nearest whole number? (Remember : the whole number is in the ONES place)


Answer this please ASAP or NOW

Answers

Answer:

7,460

Step-by-step explanation:

Whole numbers are counting numbers like 0, 1, 2, 3, . . .. Whole numbers are positive integers including 0

When rounding a number to the nearest whole number, firstly check the first digit after the decimal point. If the first digit is less than 5 we don't round up, but if the first digit is 5 or greater we round up.

Given the number 7,459.82

We check, the first digit after the decimal point, since this digit is greater than 5 (i.e. 8) we round u to get 7,460

please help I need someone to do an example of what the inequality shown is and then I will do the rest myself.​

Answers

Answer:

x [tex]\geq[/tex] 1

Step-by-step explanation:

Answer:

x > 1

the > should have a line under it

Find the area of the following rectangle

Answers

Answer: 8x + 6

Step-by-step explanation: Multiply the like terms. 4x times 2x is 8x, and 2 times 3 is 6. That equals 8x+6

It’s 8x + 6, just multiply the like terms
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