Point A is located at –24 and point C is located at 36 on the number line below.



Which value would represent point B, halfway between point A and point C?

Answers

Answer 1
If I’m right point B would represent 5.
Answer 2

Answer:

Please check the explanation.

Step-by-step explanation:

A number line is a horizontal line with negative values on the left-hand side of an arbitrary number 0 and positive values on the right-hand side of 0.

The location of point A on a number line = -24

The location of point C on a number line = 36

The distance between -24 and 36 can be simply calculated by counting the number of units between.

Starting from -24, we would need to move 24 units on the right side to reach the 0 and 36 units right to reach 36.

So, the total units will be: 24+36 = 60

A second simple method to calculate the distance between point A and point C is:

Distance between A and C = location of C - location of A

                                              = 36 - (-24)

                                              = 36+24

                                              = 60 units

Thus, the distance between A and C is 60 units.

Now, point B is located halfway between point A and point C.

Thus,

The point B must be 30 units before (30 units on the left side) of the point C. In other words, point B must be 30 units after (30 units on the right side) of point A.

i.e.

The location of point B = The location of point C - 30

                                       = 36 - 30

                                       = 6

Thus, point B is located at 6.

Verification:

The location of point B = The location of point A + 30

                                       = -24 + 30

                                       = 6

Thus, point B is located at 6.

Thus, it is verified that point B, halfway between point A and point C.

Hence,

'6' is the value of point B halfway between point A and point C.


Related Questions

how do you put this into a decimal equivalent

8 4/9=

Answers

Answer:

8.44444444444

Step-by-step explanation:

hope this helped

Answer:

8.44!!

Step-by-step explanation:

hope this helps!!

Love: Deku <3

1. When graphing a system of equations with no solution, the slopes of the two lines will be

Answers

9514 1404 393

Answer:

  the same

Step-by-step explanation:

A system of linear equations with no solution graphs as parallel lines. The slopes of the lines are the same.

HELP PLEASE I WILL MARK BRAINLIEST IF RIGHT ANSWER!!

Answers

Answer:

Its XYW is half of LXYZ

Step-by-step explanation:

.

Answer:

this is the required solution

5w + 4 =-16 help me plz

Answers

Answer:

w = -4

Explanation:

5w + 4 = -16

Subtract 4 From Both Sides

5w + 4 - 4 = -16 - 4

Simplify

5w = -20

Divide Both Sides By 5

5w / 5 = -20 / 5

Simplifyw = -4

please help me !!! :))))

Answers

Answer:

12.4 in

Step-by-step explanation:

I whish i can help :)

Answer:

13.6

Step-by-step explanation:

We can use the pythagorean therom since we know the 2 side leanths and solve for the longest side of the triangle which is the rectangle cut diagonally

11^2+8^2=c^2

121+64=c^2

185=c^2

√185= √c^2

13.6=c

Hope that  helps !

A school track is shown. 1000 m 74 m The straightaway on each side measures 1,000 meters. The curves are semicircles with diameter 74 meters. What is the distance, in meters, around the entire track? Use the a button on your calculator and express your answer to the nearest hundredth. The distance is meters.

Answers

Answer:

You have Rs 2,400 in your account and the interest rate is 5%. After how many years

would you earn Rs 240 as interest.

Step-by-step explanation:

Distance around entire school track  = 2232.48 meters

What is perimeter?

In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape. It is measured in linear units of measurement like centimeters, meters, inches, or feet.

Given,

Straight length of the track = 1000 meters on each side

total straight length = 2 × 1000 = 2000 meters

Curves are semicircles on each side having diameter of 74 meters

which makes a complete circle

Perimeter of circle = π × diameter

                               = π × 74 = 232.477856 meters

Total distance in meters = 2000 + 232.477856

                                        = 2232.477856

Hence, 2232.48 meters is the total distance around the entire track.

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Bob took a total of 30 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Bob have taken in total. Solve using unit rates

Answers

Answer:

Step-by-step explanation:

total= 5/8

Answer:

48 quizzes

Step-by-step explanation:

1. divide 30 by 5 to see how many quizzes he took each week

30/5 = 6

Bob took 6 quizzes each week

2. multiply 8 weeks by 6 quizzes per week

8 x 6 = 48

48 quizzes

:))))

In ΔDEF, e = 49 cm, d = 73 cm and ∠D=52°. Find all possible values of ∠E, to the nearest degree.

Answers

Answer: 32

Step-by-step explanation:

when f(n) =12, what is rhe value of n​

Answers

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

which expression has value of 15 when = 12?


[tex] \frac{18}{p} \: \: \: \: \: \: \: \: [/tex]
or

3p

or

18-p

or

p+3

someone please help me im failing math ​

Answers

Answer:

I think its 3p not sure but u can try that

A. 7n+2 = 4n+17

B. 10-d = -34-5d

C. 8(x-1)-2x = -(x+50)

D. 80-3k = 5k+8

E. 3(2x+3)-x = x-23

F. 12(y+5) = 13y+58

G. 6(x-1) = 9(x-4)

H. 4(w-6) = 3(w+1)

I. 3+2(8-k) = 3k-1

J. 9m = 4m-35

K. 7-6u = 5u+29

L. 8y-3 = 16-(1-2y)
this is an answer worth answering cuz youll get like 40 points or 80

Answers

A. n=5
B. d=-11
C. x= -6
D. k=9
E.x= -8
F. y= 2
G. x= 10
H. w= 27
I. k= 4
J. m= -7
K. u= -2
L. y= 3

Answer:

a)n=5

b)d=-11

c)x=-6

d)k=9

e)x=-8

f)y=2

g)x=10

h)w=27

i)k=4

j)m=-7

k)u=-2

l)y=3

Solve the system by substitution
2x + y = -14
y = -2x + 14

Answers

Answer:

Step-by-step explanation:

d

Solve the proportion: x/42 = 3/7

Answers

Answer: x=18

Step-by-step explanation:

Step 1: Cross-multiply.

Step 2: Divide both sides by 7.

A restaurant bill before tax is $15.50. How much is a 15% tip for this bill? Be sure to round your answer to the nearest hundredth.

Answers

Answer: 17.82

Step-by-step explanation:

1.15 x 15.50 = 17.825

17.825 rounded to the nearest hundreth is 17.82

Is (1, 4) a solution to this system of equations? 3x + y = 7
3x + 3y = 15
A. N o, (1, 4) is not a solution.
B. Yes, (1, 4) is a solution.

Answers

B. Yes, (1,4) is a solution

Read the paragraph. When young people are encouraged to take risks, they build confidence in their own decision-making skills and capabilities. Consider Winston, a ninth grader willing to try out for a varsity sport or a competitive performance band. He risks failure and personal embarrassment, but he learns the tryout process. He may also learn his personal strengths and shortcomings. Whether he is met with success or not, the risk-taking experience fosters self-reflection and growth. What central idea is explicitly stated in the paragraph? Young students should compete in varsity athletics. Students learn about themselves by taking risks. Students benefit from high-level competition. Young students are nervous during tryouts.

Answers

Answer:

B

Step-by-step explanation:

Based on the definition of a central Idea, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.

What is the central Idea in the paragraph?

The central Idea of a paragraph is the main theme or topic which the reader is expected to learn or remember.

According to the paragraph, when young people are encouraged to take risks, it helps them build self-confidence.

Even though the results of taking such risks may not be successful, the young person gets to know more about his strengths and weaknesses.

Therefore, the central Idea stated explicitly in the paragraph is that students learn about themselves by taking risks.

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Stock prices fell 250 points one day and 60 points the next day. What is the average change in stock prices over the two days

Answers

Answer:

the average change in stock prices over the two days is -155

Step-by-step explanation:

The computation of the average change in stock price over the two days is shown below:

= (-One day points - second day points) ÷ number of days

= (-250 points - 60 points ) ÷ 2 days

= -310 points ÷ 2 days

= -155

Hence, the average change in stock prices over the two days is -155

We simply applied the above formula so that the average change could come

Please please help me I really need help please

Answers

Answer:

s = 25y + 85

Step-by-step explanation:

Answer:

s = 25y + 85

Step-by-step explanation:

Initial number = 85Yearly added = 25Number of years = yTotal = s

The relationship is:

s = 25y + 85

I'm having trouble with this problem ​

Answers

Answer:

the first and third should be the correct answer I hope this helps

A salesperson earns a commission of a certain percentage on the original price of any items he helps you buy. The salesperson helped you select a new jacket that was originally 90$. He eared 5.76$ commission on this sale. What percentage of the original jacket price did the salesperson earn

Answers

Answer:

5.18%

Step-by-step explanation:

5.76 x 100 = 576

576 ÷ 100 = 5.184

5.184 = 5.18%

Find the value of "c". 4c + 18 = 74 *​

Answers

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

what is 41,250 written in scientific notation​

Answers

Why is 41,250 written as 4.125 x 104 in scientific notation?

4.125 x 104 is the answer

Need help with these two questions
31.
Given: AB || DC , AD || BC
Prove: ΔABC ≅ ΔCDA
Statements Reasons
1. AB || DC 1. Given
2. ∠BAC ≅ ∠DCA 2.
3. AD || BC 3. Given
4. ∠ACB ≅ ∠CAD 4.
5. AC ≅ AC 5.
6. ΔABC ≅ ΔCDA 6.

Answers

Answer:

i dont know if this is right but i put

31)

2. alternate angles

4. alternate angles

5. reflexive property

6. ASA

32)

1. DEC, EDC, DC

2. AAS

3. def. of congruent triangles

4. ACE

5. def. of isosceles triangle

If AB || DC by  Given

2. ∠BAC ≅ ∠DCA because these are alternate angles.

3. AD || BC by given

4. ∠ACB ≅ ∠CAD because these are alternate angles.

5. AC ≅ AC by reflexive property.

6. ΔABC ≅ ΔCDA by ASA property of triangle.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that AB || DC and AD || BC

We need to prove that ΔABC ≅ ΔCDA.

Which means ΔABC is similar to ΔCDA.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

1. AB || DC by  Given

2. ∠BAC ≅ ∠DCA because these are alternate angles.

3. AD || BC by given

4. ∠ACB ≅ ∠CAD because these are alternate angles.

5. AC ≅ AC by reflexive property.

6. ΔABC ≅ ΔCDA by ASA property of triangle.

Hence, AB || DC by  Given

2. ∠BAC ≅ ∠DCA because these are alternate angles.

3. AD || BC by given

4. ∠ACB ≅ ∠CAD because these are alternate angles.

5. AC ≅ AC by reflexive property.

6. ΔABC ≅ ΔCDA by ASA property of triangle.

To learn more on Triangles click:

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Expand the following:
a) x(x + 2)
b) x(2x - 5)
c) 2x(3x + 4)
d) 6x(x-2y)

Answers

Answer:

[A] x² + 2x

[B] 2x² - 5x

[C] 6x² + 8x

[D] 6x² - 12xy

Explanation:

x(x + 2)

Apply Distributive Law: a(b + c) = ab + ac

x(x + 2) = xx + x · 2

Simplify:

x² + 2x

x(2x - 5)

Apply Distributive Law: a(b - c) = ab - ac

x(2x - 5) = x · 2x - x · 5

Simplify:

2x² - 5x

2x(3x + 4)

Apply Distributive Law: a(b + c) = ab + ac

2x(3x + 4) = 2x · 3x + 2x · 4

Simplify:

6x² + 8x

6x(x - 2y)

Apply Distributive Law: a(b - c) = ab - ac

6x(x - 2y) = 6xx - 6x · 2y

SImplify:

6x² - 12xy

- Pacific Northwest

Sandy needs to create a triangular structure for her science project. She has two
pieces of bamboo measuring 6.5 inches and 8.1 inches. How long must her third piece
of bamboo be in order to create a triangle?
A 14.4 inches
B 14.6 inches
C 1.4 inches
D 1.6 inches

Answers

Answer:

The third piece must be 14.4 inches

Step-by-step explanation:

We use the triangle inequality theorem to get the third side

using the theorem, it must be that the sum of the two will be greater than the length of the third side

Hence we have it that;

a + b > c

6.5 + 8.1 > c

14.6 > c

So what this mean is that the third length is less than 14.6

the reasonable answer out of the options is thus 14.4 inches

reason for this is that the last two options will also not follow the inequality theorem

What is the answer QUIcK

Answers

The answer is the last one C

increase 40 pounds by 70%​

Answers

Increase total = original amount x (1 + increase rate)

40 x (1 + 0.70)

40 x 1.7 = 68

The answer is 68

68 is the answer hope it help's

The sum of two numbers is 58. If there difference is 28, find both numbers

Answers

Answer:

y = 15

x = 43

Step-by-step explanation:

this is giving us a system of equations because we know two things:

x + y = 58

x - y = 28

take the second equation and format it where you have simplified it for one variable:

x = 28 + y

(we did this by adding y to both sides)

now substitute this new value of x into the first equation:

28 + y + y = 58

simplify this to get 2y = 30

divide both sides by 2: y = 15

now substitute your new value of y into the second equation:

x = 28 + 15

x = 43

A rectangle has sides of 3 cm and 5 cm. A similar
rectangle is dilated by a scale factor of 2. Find its
dimensions.
06 cm by 10 cm
01.5 cm by 2.5 cm
O2 cm by 3 cm
O2 cm by 2.5 cm

Answers

Answer: 6cm by 10cm

Step-by-step explanation: Any scale factor greater than one will increase the size or area of the shape. since 2 is greater than one multiply to find the new dimensions

NEED HELP NOW PLEASE!!!! D;

A student answered 72 problems on a test correctly and received a grade 83%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)

Answers

Answer:

There were 86 problems on the test.

Step-by-step explanation:

72/87 = y/100

You use cross multiplication to solve. When you do this, you get the answer 86.75 problems, but since you can't have .75 of a problem, the answer is 86.

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