On a school playground, a math teacher draws a number line with values from 10 to 10. The distance between each
consecutive number is 1 meter. Rebecca is standing at +4, and her friend Cedric is standing at -8.
What is the straight-line distance between the two friends, in meters?​

Answers

Answer 1

Answer:

12

Step-by-step explanation:

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

count the spaces between the two numbers

Answer 2

The number line is the representation of numbers in real order.

The number line can be assumed as:

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The straight-line distance between the two friends, in meters, is 11 meters.

What is a number line?

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

On a school playground, a math teacher draws a number line with values from 10 to 10.

The distance between each consecutive number is 1 meter.

We can assume the number line to be as,

-10_-9_-8_-7_-6_-5_-4_-3_-2_-1_0_1_2_3_4_5_6_7_8_9_10

       (Cedric)                                              (Rebecca)  

The distance between Cedric and Rebecca.

= 4 - (-7)

= 4 + 7

= 11

Thus,

The straight-line distance between the two friends, in meters, is 11 meters.

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Related Questions

5x -5=50x + 13

Solve for x

Answers

-x both side and -13 both side
50x-5x=-5-13
45x=-18
Divided by 45 both sides
x=18/45
x=0.4

Which of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply.
35 cm to 1 km
1 mm to 150 km
1 mm to 500 m
5 mm to 2.5 km
3 cm to 15 km

Answers

Answer:

E; 3cm to 15km

Step-by-step explanation:

1cm to 5km

NOT A:

35cm to 1km

×5

175cm to 5km

NOT B:

1mm to 150km

÷ 30

1/30mm to 5km

NOT C:

1mm to 500m

× 10

10mm to 5km

NOT D:

5mm to 2.5 km

× 2

10mm to 5km

E:

3cm to 15km

÷ 3

1cm to 5km

A function f(x) is graphed.
What is the slope of the function?
m =
A.1
B.2
C.3
D.4
What is the y-intercept of the function?
b =
A.-2
B.-1
C.1
D.2
Which equation represents the graph of the function?
A.y=-x+2
B.y=x+2
C.y=2x+1
D.y=-2x+1

Answers

Answer:

B, C, C

Step-by-step explanation:

slope: B. 2
- this is because slope= rise/run
- the rise is 2 and the run is 1
-2/1= 2

y-intercept: C. 1
- this is where the line crosses the y-axis (the vertical line in the center)

equation: C. 2x+1
- this is in slope-intercept form; y=mx+b
- m is equal to the slope which we determined is 2
- b is equal to the y-intercept which we determined is 1

Sarah's parents started a savings account for her when she was 12. The plan her parents chose earns 3.2% each year, and her parents initial deposit was $3500. How much will be in Sarah's savings account after 3 years when Sarah is ready to look for a car?

Answers

Answer:

  $3846.87

Step-by-step explanation:

Assuming the interest is compounded annually, the value in 3 years is ...

  FV = P(1 +r)^t

  FV = $3500(1.032^3) ≈ $3846.87

Sarah's account will be worth about $3846.87.

Find the square root of 784 using prime factorization.

Answers

Answer:

first check the smallest number that divide 784

i.e 2

784/2 = 392/2= 196/2 =98/2 =49/7=7

we get

748= 2*2*2*2*7*7

for square root take one out of 2 same number

square root of 784= 2*2*7 = 28

Answer:

28

Step-by-step explanation:

784=2×2​×2×2​×7×7​⇒784 ​=2×2×7=28

Complete the following statement.
16/
= -8

Answers

16 / x = -8

First, let's divide both sides by x.

16 = -8x

Divide both sides by -8

-2 = x

16 / -2 = -8

Answer:

m = -2

Step-by-step explanation:

16 / m = -8

→ 16 = -8m

→ m = 16/-8

→ m = -2

f(x) = x2. What is g(x)?

Answers

Answer:

I think ot a it been awhile sense I did algebra

Someone help !! These are Absolute values & integers !!

Answers

Answer:

4,9,12,24,5,5,1,11,9,9

Step-by-step explanation:

those are the anwsers, in order

see if you solve this types of sum firstly you understand it ok

+ × += +

+ × -= -

- × - =+

ok

like 2 +[-3]

ok + × - = -

ok

like you subtract it 2+ [-3]

2-3 = 1

(14): Rounding.
3. What is 2,458 rounded to the nearest hundred?
0 3,000
0 2,500
2,400
0 2,000

Answers

Answer:2.500

Step-by-step explanation:

when rounding up to the nearest hundred you look at the tenths, if the tenths is 50 and above, you round up, when 49 and below, you round down.

help dont understand like its confusing one minute u add then substract like...

Answers

Answer:

53 degrees

Step-by-step explanation:

< will be angle UwU (using pc)

m<JKM = 151 degrees is the total angle combining m<1 and M<2

therefore, we subtract m<2 from m<JKM to find m<1

Here is the equation:

m<JKM = m<1 + m<2

151 = m<1 + 98 (substitute)

53 = m<1 (simplify the like term so we subtracted 98 on both sides)

hope this helps!

A landscaping company is laying a triangular flower bed. The height of the trangle is 15ft. What lengths of the base will make the area at least 210ft squared?

Answers

Answer:

28 ft

Step-by-step explanation:

The height of the triangle = 15 ft

The least required area A = 210 ft^2

We know that the area of a triangle = 1/2bh

Where

b is the base

h is the height

Substituting, we have

210 = 1/2 x b x 15

210 = 15/2 x b

420/15 = b

b = 28 ft

To borrow $3,000 from the bank to buy first car the interest rate is 5% how muvh money will you owe the bank at the end of one year

Answers

Answer:

I=150

Step-by-step explanation:

I=Prt

I=3000(?)(?)

divide 5% by 100

I=3000(0.05)(?)

1 year= 1

I=3000(0.05)(1)

I=150

You owe "150" the bank at the end of one year

According to the question,

Principle,

P = 3000

Interest rate,

r = 5% or 0.5

Time,

t = 1 year

We know that,

→ [tex]I = Prt[/tex]

By substituting the values, we get

       [tex]= 3000\times 0.5\times 1[/tex]

       [tex]= 150[/tex]

Thus the above approach is right.

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Find the distance between the points L(7,-1) and MC (– 2, 4).
The exact distance between the two points is

Answers

Answer:

d= 10.30

Step-by-step explanation:

Using distance formula:

d=√(-2-7)² + (4--1)²

d=√(-9)² + (5)²

d=√81 + 25

d=√106

d≈ 10.296

Answer:

Step-by-step explanation: not right

please help I need help​

Answers

Answer:

its option 3;92667

Step-by-step explanation:

6 and 8 is 68 so 9 2667 its 92667

Which is greater, 11/16 or 24/32?

Answers

11/16=0.6875

24/32=0.75

0.75 is greater than 0.6875 so 24/32 is greater than 11/16

Answer:

24/32

Step-by-step explanation:

24/32 is the answer because:

1) We should first try to see if we can find a common denominator so it is easier to compare and find the larger number

2) The common denominator is 32 because 16 multiplied by 2 is 32 and 11 multiplied by 2 is 22. The new fraction is 22/32

3) Finally, compare 22/32 and 24/32, we know that 24 is bigger than 22. Therefore, 24/32 is greater than 11/16

Hope this helps!

If Adam orders a book from Store X, how much will he owe to the nearest cent? The tax rate only applies to the cost of
the book.
Comparison of Online Bookstores
Store X
$17.00
6%
Store Y
$18.00
8%
Cost of book
Tax rate
Shipping.









HELP FAST! ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST
10% of cost of the book
FREE
O $17.16
$19.72
$21.53
$27.20

Answers

Answer:

B) $19.72

Step-by-step explanation:

Sorry if I am late, hope you got a good grade:)

I got a 100 on the test for edge 2020

Answer:

B

Step-by-step explanation:

Jasmine has 8 packs of candle wax to make scented candles. Each pack contains 14 oz of wax. Jasmine uses 7 oz to make one candle. How many candles can she make?

Answers

16 candles. 14 multiplied by 8 equals 112. 112 divided by 7 equals 16.

Which of the following is a figure consisting of two rays with the same endpoint? Angle Circle Line Vertex

Answers

Answer:Angle

Step-by-step explanation:

The angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that

The figures are:

AngleCircleLineVertex

As we know the circle can be described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

From the definition of the angle; two lines or rays converge at the same point.

Thus, the angle is the figure consisting of two rays with the same endpoint option (A) angle is correct.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture

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What are the new vertices of triangle QRS, shown, if the triangle is reflected across the line y = x, also shown? Question 6 options: A) Q′ = (–2,–3), R′ = (1,1), S′ = (2,–1) B) Q′ = (2,–4), R′ = (4,0), S′ = (3,–1) C) Q′ = (2,–5), R′ = (5,0), S′ = (2,–1) D) Q′ = (5,2), R′ = (0,5), S′ = (1,2)

Answers

Answer:

C

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x ) , thus

Q(- 5, 2 ) → Q'(2, - 5 )

R(0, 5 ) → R'(5, 0 )

S(- 1, 2 ) → S'(2, - 1 )

The coordinates of the reflected point under a line y = x will be Q′ = (2,–5), R′ = (5,0), S′ = (2,–1).

What is a reflection of a point in coordinate geometry?

The reflection of a point in coordinate geometry is the image formed concerning the x-axis, y-axis, or origin.

Under a reflection in the line y = x

A point (x, y ) has reflected point (- x, - y )

Thus,

The coordinates of the reflected point under a line y = x will be Q(- 5, 2 ) → Q'(2, - 5 )

The coordinates of the reflected point under a line y = x will be R(0, 5 ) → R'(5, 0 )

The coordinates of the reflected point under a line y = x will be S(- 1, 2 ) → S'(2, - 1 )

Thus, option C is the correct one.

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Is the following number rational or irrational?
6 1/2

Answers

Answer:

yes it  is a rational number

Step-by-step explanation:

if we convert the mixed fraction into an improper fraction, we will get:

6 1/2  = 13/2

Recall that the definition of an Rational number is that it can be expressed as a division of two integers.

in our case, the numerator is 13 (which is an integer) and the denominator is 2 (which is also an integer)

hence according to our definition it is a rational number

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

What is a rational number?

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

The mixed fraction number is given below.

⇒ 6  1/2

Convert the mixed fraction number into the fraction number. Then we have

⇒ 6  1/2

⇒ 6 + 1/2

⇒ (12 + 1)/2

⇒ 13/2

Convert the fraction number into a decimal number. Then we have

⇒ 13/2

⇒ 6.5

The mixed fraction number 6 1/2 is a terminating number. Then the number is a rational number.

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What is the domain of this function? (16, 1) (1, 5) (–13, –12) (18, 12)

Answers

the domain is 16,1,-13,18

HURRRYYYYYY Use the drawing tools to form the correct answer on the provided graph. y=-2/3x+1

Answers

Answer:

start on (0,1) and go up two and left three. keep going until you run out of room. then, draw a line through the points.

Step-by-step explanation:

thats how you with graph it :)

In a classroom, there are 12 boys and 6 girls. The teacher needs one student to take a note to the
office. What is the probability the teacher randomly picks a girl? Write your answer as a reduced fractior

Answers

Answer:

1/3

Step-by-step explanation:

There are 12 boys and 6 girls, meaning there are 18 students. The girls are 1/3 out of those 18.

I am thinking of a number if you cut my number In half and multiply by 6 you get 150

Answers

Answer:

50

Step-by-step explanation:

Step 1:

(x ÷ 2) × 6 = 150

Step 2:

x ÷ 2 = 25

Answer:

x = 50

Hope This Helps :)

what is 3n + 12? im so confused

Answers

3(n+4) should be it
It's an nth term for a sequence
So
I'm not really good at explaining but basically
3n means the three times table
And then to each number you add 12
So
3,6,9,12,15
(+12)
So your final answer is:
15,18,21,24

Help me with Rational and Irrational!

Answers

Rational Numbers:  Any number that can be expressed as a fraction or ratio that may contain repeating decimals, or terminating decimals.

Irrational Numbers:  Any number that cannot be expressed as a fraction or ratio that has non-repeating non-terminating decimals.

With this information, sort the given values into one of each of these categories.

Cheers.

URGENT!!! James has $40 to spend. He wants to buy two tickets to a show. He has to spend $7 to get to where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2r +7 23.5 Or> 16.5​

Answers

Answer: If James has 40 to spend then he has 33 for the two tickets he also has to get back so thats 26.

Step-by-step explanation:

Please answer all questions step by step PLEASE HELPP!!!! I'LL MARK YOU AS BRAINLIEST

Answers

I think your teacher's just asking for the multiplied out version, so there's no work to do

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Answer:

3. -2(3m + 9) = -6m - 11

4. -6(z-1) = -6z + 6

5. -(m +1) = -m - 1

6.  -(x+4) = x = 4

7.  b(a- 6) = ab - 6b

8. 7a(3b -2c + 4) = 21ab - 14ac +28a

9. 1/2(8x + 2) = 4x + 1

10. 2/3(1/4x -6) = 1/6x - 4

Step-by-step explanation:

can someone please solve this

Answers

Answer:

See below

Step-by-step explanation:

a) x² + 3x = x(x+3)b) 2x² - 8x = 2x(x -4)c) 6x + 9x³ = 3x(2 + 3x²)d) 12x³ - 4x² = 4x²(3x - 1)

Y is the midpoint of line segment XZ. The coordinates
of Y are (1, 8) and the coordinates of X are (-10, –12).
What are the coordinates of Z?

Answers

Answer:

work is attached and shown

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