Three friends all live on the same street that runs west to east. Ben lives 8 blocks from ann. Carol lives 2 blocks from ben. If the street is represented by a number line and ann's house is located at 0, what are the possible locations for carol's house?

Answers

Answer 1

Answer:

i. 10 units (Carol's house is 10 units on the right from Ann's house)

ii. -10 units (Carol's house is 10 units on the left to Ann's house)

Step-by-step explanation:

A number line is a system that can be used to express the location of directed number on a straight line. It has an origin which is taken to be zero (0).

In the given question, Ann's house is located at 0 of the number line. Let 1 block be represented by 1 unit on the number line.

Thus, Ben lives 8 blocks from Ann implies that Ben's house is at 8 units from Ann's house.

Given that Carol's house is 2 blocks from Ben implies that Carol's house is 2 units from Ben.

So that,

The possible locations of Carol's house depends on its position with respect to Ann's house.

i. Carol's house = 8 + 2

                          = 10 units

This implies that Carol's house is 10 units on the right from Ann's house.

ii. Carol's house = - 8 - 2

                           = -10 units

This implies that Carol's house is 10 units on the left to Ann's house.


Related Questions

!Help !

Joelene goes to bed three hours after dinner. Yesterday, after dinner, she spent 1 ½ hour on her homework and ⅔ of an hour on the telephone. Home much time did she have left before bedtime?

Answers

Answer:

50 minutes

Step-by-step explanation:

she spent 1 hr and 30 minutes on homework

she spends 2/3 of an hour on the phone = 40 minutes

1 hr 30 min + 40 minutes = 2 hrs and 10 min

so she had 50 minutes to kill before bedtime since she goes to sleep 3 hrs after dinner

2hr 10 min + 50 min = 3 hrs.

One student did an experiment of the rock cycle. The steps of the expirement are shown below what does the students experiment most likely demonstrate about the rock cycle

Answers

The given question is incomplete. The complete question is :

One student did an experiment on the rock cycle.

The steps of the experiment are shown below.

Collect five pieces of wax of different colors.

Use a plastic knife to scrape off thin shavings of the pieces of wax.

Pile the wax shavings of different colors one over the other.

Hold the pile of wax shavings in the palm and squeeze it for two to three minutes. Fold the pile and squeeze it in the palm again for a minute.

What does the student's experiment most likely demonstrate about the rock cycle?

a. Weathering can change igneous rocks into sediments.

b. Weathering can change metamorphic rocks into sediments.

c. Heat and pressure can change igneous rocks into metamorphic rocks.

d. Heat and pressure can change sedimentary rocks into metamorphic rocks.

Answer: Option D

Explanation: The rock cycle defines the conversion or transformation of igneous rock into sedimentary rocks and sedimentary rocks into metamorphic rocks. The conversion of rocks into these three forms is continuous.

The igneous rocks on weathering forms sediments which on cementation and compaction gets converted into sedimentary rocks. Then sedimentary rocks under tremendous heat and pressure gets converted into metamorphic rocks.

These processes takes millions of years to gets converted from one rock form to another.

Here, in the experiment wax shavings of different colors one upon another shows that they are sedimentary rocks and pressing it between palm or hand shows that heat and pressure is applied on it. This shows the conversion of sedimentary rocks into metamorphic rocks.

help help help ( I WILL MARK YOU AS BRAINLIEST )

Answers

The answer is 5z or 5xz Product is just a word for multiply
5z is the right awnser

A bag contains 5 milk and 13 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
P(milk)
=

P(not milk)
=

Answers

Answer:P(milk) 5/18 - 27% ----------- P(not milk) 13/18- 73%

         

Step-by-step explanation:

total chocolates in the bag= 18   (5 milk chocolates + 13 dark chocolates= 18 chocolates in total)

to find percentages divide numerator by denominator ( 5/18 = 27%) (13/18=73%)

P(milk) - 27% chance you will get milk chocolate

P(not milk) 73% chance you will get dark chocolate

It is more likey to get dark chocolate

A team spent 20 minutes on passing drills and 40 minutes on shooting drills.

What is the ratio of time spent on shooting drills to time spent on passing drills?




1 to 3

3 to 1

2 to 1

1 to 2


Paul's Pizzeria sells 45 cheese pizzas and 20 pepperoni pizzas each week.

What is the ratio of cheese pizzas to pepperoni pizzas sold each week by Paul's Pizzeria?




4:2

3:1

9:4

9:2

Which simplified ratio correctly compares 12 yards to 20 feet?

3:5

5:3

5:9

9:5

Answers

Answer:

3 to 1

Step-by-step explanation:

its

can someone help me please?

Answers

Answer:

90.6

Step-by-step explanation:

89.7 + 92.6 + 83.9 + 96.2=

362.4

362.4 divided by 4 =

90.6

What is the sum of angles in a triangle and circle

Answers

The sun of the 3 inside angles of a triangle = 180 degrees.

A circle = 360 degrees.

The sum of both would be 180 + 360 = 540 degrees.

Answer:

3 angles in a triangle add up to 180

And 360 in a circle

please help i will mark brainliest if correct

Answers

Answer: X=86

Step-by-step explanation: do 47+47=94 94-180=x

180= sum of all angles in a triangle btw hopr this helps

If an= 4+2(n-1), what is the first term?

Answers

Answer:

4

Step-by-step explanation:

4 is the base of the equation and then as it goes on, you add 2* the point in the sequence -1

find the slope of the line through each pair of points (6, -10) , (-15 , 15)​

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto The \ slope \ of \ the \ line \ is \ \dfrac{-25}{21}.}}}[/tex]

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line . The slope of the line passing through points [tex]\bf (x_1,y_1 ) \ \& \ (x_2,y_2) [/tex] is given by ,

[tex]\qquad\boxed{\red{\bf Slope = tan\theta=\dfrac{y_2-y_1}{x_2-x_1}}}[/tex]

Here , the points are ,

( 6 , -10 )( -15 , 15 )

[tex]\bf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1} \\\\\bf\implies Slope =\dfrac{15-(-10)}{-15-6} \\\\\bf\implies Slope = \dfrac{15+10}{-21}\\\\\bf\implies Slope =\dfrac{-1(25)}{-1(-21)}\\\\ \bf\implies\boxed{\red{\bf Slope =\dfrac{-25}{21}}}[/tex]

Hence the slope of the line joining the two points is -25/21 .

Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.


Answers

top left, none
middle, many
top right, one
bottom left, none

if you extend the top and bottom left graphs, they won’t intercept. but if u extend the middle graph, they always intercept. and the top right graph only intercepts once

6x + 4 = 5x+17 + 120
need this answerd ASAP pls! thank u!

Answers

Answer:

x = 133

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

6x + 4 = 5x + 17 + 120

Step 2: Solve for x

Combine like terms:                    6x + 4 = 5x + 137Isolate x terms:                             x + 4 = 137Isolate x:                                       x = 133

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    6(133) + 4 = 5(133) + 17 + 120Multiply:                               798 + 4 = 665 + 17 + 120Add:                                     802 = 682 + 120Add:                                     802 = 802

Here we see that 802 does indeed equal 802.

∴ x = 133 is the solution to the equation.

What is the y-intercept of y
- 2x + 6?
Choose 1 answers
(6,0)
B
(0,6
(-2,0)
(0, -2)

Answers

Answer:

(0,6)

Step-by-step explanation:

A ___________ is used to change from one unit to another.

Answers

Conversion factor.... I think

A 1-mile hiking path has signs placed every 240 feet. There are signs also placed at the beginning and end of the mile. How many signs are there?

Answers

Answer:

yep 22

Step-by-step explanation:

81x^4-1 factor with steps

Answers

Given:

The expression is

[tex]81x^4-1[/tex]

To find:

The factorized form of given expression.

Solution:

We have,

[tex]81x^4-1[/tex]

It can be rewritten as

[tex]=3^4x^4-1^2[/tex]

[tex]=(3x)^4-1^2[/tex]              [tex][\because a^xb^x=(ab)^x][/tex]

[tex]=((3x)^2-1)((3x)^2+1)[/tex]              [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

[tex]=(3x+1)(3x-1)(3x+1)(3x-1)[/tex]              [tex][\because a^2-b^2=(a-b)(a+b)][/tex]

This is the complete factorized form. It can also written as

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

Therefore, the complete factorized form is [tex](3x+1)(3x-1)(3x+1)(3x-1)[/tex].

the sum of k and 141

Answers

Answer:

k + 141

Step-by-step explanation:

the sum means addition .

hope this helps !

Please help i forgot to post the image on the last one

Answers

Answer:

x              y

0             2

2             6

4             10

6             14

I'll use the second one as the example.

First I found the x value because it was the value gaven to me, then I found the y value that lined up with it. Since the x value was 2, I had to go to the 2 on the x axis and went up until I got to the line, then I went horizontal until I hit the y axis and that's how I got 6 for the y value.

I hope this helped!!

julie buys 2kg of apples and 7kg of peras for £12.70 the pears cost 1.30 per kilogram what is the price per kilogram of the apples

Answers

Answer:

1.80

Step-by-step explanation:

1.30x7=9.10

1270-910=360

2kg of apples - 3.60

360/2=180

Colette loves to get manicures with her mom. In the past year, however, her mom has had 5 manicures for every 3 Colette has had. If Colette's mom has had 4 more manicures than Colette in the past year, how many manicures has Colette had?

Answers

Answer:

Collette had 6 manicures done last year.

Step-by-step explanation:

Since Collette's mom has 67% more manicures than Collette (2 more for every 3), and that difference represented 4 manicures in total, then:

let x be the number of manicures that Collette had during last year.

4 / x = 2/3

2x = 12

x = 6

Solve for the variable.*
-a + 3a =10
A. {-9}
B. {5}
C. {-11}
D. {2}

Answers

Answer:

5

Step-by-step explanation:

-a+3a= 10

2a=10

a=10/2

a=5

I got b so it’s 5 good luck

-6.2f + 2.9f - 22 - 4= __ f -26

Answers

Answer:

-3.3f

Step-by-step explanation:

-22+-4=-26, that's why there is -26 at the end.

-6.2f+2.9f=-3.3f

-3.3f-26

Hope it helped!

Please give brainliest, thank me and rate it 5. :)

David and Denise share n pears in the ratio 4:9. If n = 39 how many pears does David have?

Answers

Answer:

David has 12 pears.

Step-by-step explanation:

4 + 9 = 13

39 / 13 = 3

3 x 4 = 12

3 x 9 = 27

ax+3x=bx+5 please solve for X

Answers

Answer:

x = 5 / (a+b+3)

Step-by-step explanation:

ax+3x=bx+5

x = 5 / (a+b+3)

Good morning can y’all help me???

Answers

Answer:

First one proportion. Next it is direct variation. Lastly it is proportion.

Step-by-step explanation:

Solve for x
-30 = 5(x + 1)
=

Answers

Negative 5 hope I helped

I'm sorry if this is confusing but I really need the help...

45x^6y^-5 / 3x^4y^2 x 5x^-4y^-6

Answers

Answer:

I hope I got it correct

Step-by-step explanation:

PLS CAN SOMEONE HELP ME

Answers

Answer:

w = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

8 = 4w + 53 + 5w

Step 2: Solve for w

Combine like terms:                    8 = 9w + 53Isolate w term:                             -45 = 9wIsolate w:                                      -5 = wRewrite:                                        w = -5

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Substitute in w:                    8 = 4(-5) + 53 + 5(-5)Multiply:                                8 = -20 + 53 - 25Add:                                      8 = 33 - 25Subtract:                               8 = 8

Here we see that 8 does indeed equal 8.

∴ w = -5 is the solution to the equation.

Evaluate the expression (1/4) {x(2y+3z)} when x=8, y=3, and z=2

Answers

Answer:

24

Step-by-step explanation:

x = 8, y = 3, z = 2

(1/4) x {8[2(3)+3(2)]}

(1/4) x {8(6 + 6)}

(1/4) x {48 + 48} (by distributing)

1/4 x 96

= 24

will give brainlest 5 star and thans

Answers

Answer:

96 in

Step-by-step explanation:

Other Questions
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