What is the distance between-21 and 6 on a number line in units

Answers

Answer 1

Answer: 27

Step-by-step explanation:

-21 to 6= 27

Answer 2

The difference between the numbers -21 and 6 is 27.

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R." It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the two numbers are -21 and 6. The distance between the two numbers will be calculated as,

Distance = 6 - ( -21 )

Distance = 6 + 21

Distance = 27

Hence, the difference is 27.

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Related Questions

Subtract. 8 1/2 - 2 2/3

Answers

Answer:

Mixed number: 5 5/6

Improper fraction: 35/6

Step-by-step explanation:

8 1/2 - 2 2/3

17/2 - 8/3

35/6

5 & 5/6

Hope this helps!

Plz name brainliest if possible!

Given the following proportion, find x

3/7 = 6/x

Answers

Answer:

x = 14

Step-by-step explanation:

3/7 = 6/x

3(x) = 6(7)

3x = 42

x = 14

Answer:

3/7 = 6/x

3x = 6*7

3x = 42

x = 42/3

x = 14

I hope you can know this answer...

The area of a certain desert (Desert 1) is nine times the area

of another desect (Derect 2). If the sum of theic areas 13

10,000,000 square miles, find the area of each desert

Answers

Answer:

∴ Area of Desert 1 = 9,000,000 square miles

Area of Desert 2 = 1,000,000 square miles

Step-by-step explanation:

let the area of Desert 1 = x

Let the area of desert 2 = y

Given:

x = 9y - - - - - - (1)

x + y = 10,000,000 - - - - -(2)

Replacing the value of x from equation 1 into equation 2:

x + y = 10,000,000

where x = 9y

9y + y = 10,000,000

10y = 10,000,000

y = 10,000,000 ÷ 10

y = 1,000,000 square mile

Next, finding x by putting the value of y into equation 1

x = 9y

where y = 1,000,000

∴ x = 9 × 1,000,000

x = 9,000,000 square miles

∴ Area of Desert 1 (x) = 9,000,000 square miles

Area of Desert 2 (y) = 1,000,000 square miles

Answer:

100/51

just took the test

Step-by-step explanation

Find the slope of the line passing through the points (-5, 7) and (-5, -1)

Answers

Answer:

Step-by-step explanation:

(-1 -7)/(-5 + 5) = -8/0 = undefined

There are 30 students in a class, including 16 boys. The ratio of girls to boys would be 7 over 8.

Answers

Answer:

i dont understand- theres 3 ways u can put them tho 7:8 , 7 to 8 , or 7/8

Step-by-step explanation:

a number rounded to the nearest hundred thousand is 400,000. The same number rounded to the nearest ten thousand is 350,000. What could the number be?

Answers

Answer:

360000

Step-by-step explanation:

Well, we know the number must be above 350,000 because it was rounded up to 400,000. In order for the number to round down to 350,000 the number would have to be between 350,000-354999. So, the number could be any number in between those two numbers.

For example: The number COULD be 351,000 but, that is not the only possible answer.

but the answer would be 360000.

What's the slope of the line that passes through the points (4,8) and (2,12)? Write your answer in simplest form

Answers

Slope is rise over run so it would be -4 over 2 which you simplify to -2

The slope of the line passing through the given points (4, 8) and (2, 12) is -2.

Given the following points:

Points on the x-axis = (4, 2).Points on the y-axis = (8, 12)

To find the slope of the line passing through the given points (4, 8) and (2, 12):

The slope of a line is simply the gradient of a line and it describes both the direction and steepness of an equation of a straight line.

Mathematically, the slope of a line is given by the following formula;

[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Substituting the given points into the formula, we have;

[tex]Slope. \;m = \frac{12 \;- \;8}{2\; - \;4}\\\\Slope. \;m = \frac{4}{-2}[/tex]

Slope, m = -2.

Therefore, the slope of the line passing through the given points is -2.

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y = –3x – 2 5x + 2y = 15

Answers

Answer:

x = - 19 y - 55 or point form (-19,55)

WILL GIVE BRAINIEST
NEED HELP ASAP
DUE IN 10 MINS

Answers

Answer:

Scientist B

Step-by-step explanation:

1 kg = 2.2 lbs

1L = 2.11 pints

So let's convert Scientist B's data.

3.0lbs salt = 3.0/2.2 = 1.36kg

6 pints water = 6/2.11 = 2.84L water

Scientist A

1kg salt

3.0L water

We now figure out the concentration of salt in water.

Scientist A Scientist B

1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L

So scientist B had a more concentrated solution.

Answer:

yes

Step-by-step explanation:

        erfds

A cell phone company charges 45 per month and additional 0. $.24 for each text message sent during the month I know the cell phone company cellular plus charge 65 per month and additional 0.23 for each text message sent during the month how many text message would have to be sent any month to make both plans cause the same call first charge 14 GB of data used each month cellular plus charges 10 per gigabyte of data used each month if you were to send nine teen33 text messages and use 3 GB of the data any month which plan will be better

Answers

Answer: the 1st plan

Step-by-step explanation:

Write 3.79 as a mixed number.please

Answers

Answer:

379/100

Step-by-step explanation:

i really need you
guys helppp pleaseee

Answers

Hey there! I'm happy to help!

Angles A and B are alternate exterior angles: they are on the outside of the parallel lines and opposite sides of the transversal. This means that they are congruent. So, we can set up an equation.

6x-2=4x+48

We subtract 4x from both sides.

2x-2=48

We add 2 to both sides.

2x=50

Divide both sides by 2.

x=25.

Have a wonderful day! :D

Answer:

x = 25

∠A = 148  

Step-by-step explanation:

opposite exterior angle ∠A = ∠B

where

∠A = 6x - 2°

∠B = 4x + 48°

6x - 2° = 4x + 48°

6x - 4x = 48° + 2°

2x = 50°

x = 50°/2

x = 25

plugin x intoA = 6x - 2°        

A = 6(25) - 2°                          

∠A = 148                                    

the difference between half a number and 19

Answers

The difference between two numbers is 19. Half the larger number plus twice the smaller number is 12. What are the numbers?

This is the equation I came up with but I can't make it work.
x-y=19
1/2x+2y=12 x2 --> x + 4y = 24
----------
x - y = 19
x +4y = 24
------------ Subtract
-5y = -5
y = 1
x = 20

After building your factor tree, what is the simplified form of \sqrt{36}?

Answers

√36 indicates the principal (or positive) square root so √36=6 .

The square root of √36 is 6.

Hope this helps ! <3

A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of cases. A company asks the 11 job applicants for a new position about thefts from previous employers. (a) What is the probability that the lie detector indicates that at least one of the applicants is lying

Answers

Answer:

[tex]0.055[/tex]

Step-by-step explanation:

Let [tex]p[/tex] be the probability of lying an applicant, so,  [tex]p=20 \%[/tex].

[tex]\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)[/tex]

Any applicant will either lie or will tell the truth.

Let [tex]q[/tex] be the probability of telling the truth, so, [tex]q= 1-\frac {1}{5}[/tex]

[tex]\Rightarrow q=\frac {4}{5}[/tex]

As for every applicant [tex]p+q=1[/tex], so this is Bernoullies trials, for which

the probability of success of exactly [tex]x[/tex] times of an event out of [tex]n[/tex] trials is [tex]P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)[/tex].

Now, let [tex]E[/tex] be the event of at least one of the applicants is lying out of [tex]11[/tex] applicants, here the total number of applicants, [tex]n=11[/tex].

So, [tex]P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)[/tex]

This is equivalent to

[tex]P(E)=1-P(x=0)[/tex] as[tex][P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1][/tex]

Now, from equation (iii),

[tex]P(E)=1-\binom {11}{0} p^0q^{11-0}[/tex]

[tex]\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}[/tex]   [from equations s (i) and (ii)]

[tex]\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}[/tex]

[tex]\Rightarrow P(E)=1-0.945[/tex] (approx)

[tex]\Rightarrow P(E)=0.055[/tex]

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is [tex]0.055.[/tex]

find the inverse (f^-1(x)) of the function f(x)=5+1/2x

Answers

Answer:

f^-1(x) = 2x - 10

Step-by-step explanation:

f(x) = 5 + 1/2 x

y = 5 + 1/2 x

x = 5 + 1/2 y

1/2 y = x - 5

y = 2x - 10

f^-1(x) = 2x - 10

I know I'm no smarty pants but I need help!!

The given line passes through the points (-4, -3) and (4, 1).

On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

Answers

Answer:

it is a linear function

Step-by-step explanation:

a+D_r

How do you find the magnitude and positive direction angle of the vector
v = 6i − 6j?

Answers

Answer:

Step-by-step explanation:

Given the vector v = 6i-6j, the magnitude is expressed as shown;

|v| = √6²+(-6)²

|v| = √36+36

|v| = √72

|v| = √2×36

|v| = √36×√2

|v| = 6√2

The modulus of the vector is 6√2

To get the direction, we will use the formula;

(theta) = tan^-1(y/x)

(theta) = tan^-1(-6/6)

(theta) = tan^-1(-1)

(theta) = -45°

Since the angle is negative and tan theta is negative the in the second quadrant, the positive direction angle of the vector will be 180° - 45° = 135°

Please help!!! I.m confused with the problem

Answers

Answer:

C

Step-by-step explanation:

Make the equation from the blocks:

-7x + 7 = 5x + 16

Then simplify:

Subract 7 from both sides:

-7x = 5x + 9

Add 7x:

0 = 12x + 9

Subtract 9:

-9 = 12x

x = -9/12 = -3/4

The difference between nine and two

Answers

Answer:

7

Step-by-step explanation:

the difference is another way of saying subtraction so the subtraction of 9 and 2 which is obviously 7

sssssssssssssssssssssssssseven

Which ratio expresses 2 minutes to 300 seconds in simplest form?

Answers

Answer:

1 to 150! hope that helps :)

please answer this
I will mark you
plz plz​

Answers

Answer:

don't know sorry......................

Answer:

y=120 degree z=120 degree and x=60degree

Step-by-step explanation:

y+60¤ =180¤(being straight line )

or,y=180¤-60¤

or,y=120¤

therefore y=120¤

Now z= 120¤ (being corresponding angle)

therefore z =120¤

here at last,

z+120=180 (being straight anngle)

or, z=60¤

therefore z =60¤

( ¤): degree

2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=

Answers

Answer:

12.75

Brainiest pweez :P

The answer of 2 1/4 + 2 1/4+ 2 3/4+ 2 3/4 +2 3/4=

12.75

Circle A and Circle B are congruent circles. Which statement must be true?
a. Circle A and Circle B have the same center.
b. The radii of Circle A and Circle B have the same length.
c. Circle A and Circle B have exactly two points in common.
d. Circle A and Circle B touch at one point.

Answers

Answer:

B

Step-by-step explanation:

congruent mean the same, therefore the circles must be the same since they  are congruent.

Answer:

B. The radii of Circle A and Circle B have the same length.

Step-by-step explanation:

The radii, diameter, and circumference would be the same length for two circles that are congruent, therefore, the answer is B.

How many solutions are there to the equation below?
4(x - 5) = 3x + 7

A. O
B. Infinitely many
C. 1

Answers

This is my work I’m pretty sure it’s C

Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to Figure B?

Answers

Answer:

3

Step-by-step explanation:

Please help pleaseeee
----------
/ 0.09 Type interger or decimal.

Answers

Answer:

0.09 = decimal

Answer:

DECIMAL

Step-by-step explanation:

0.09 is definitely NOT a integer.

Integer is a whole number.

a decimal is a way of writing a number that is NOT a whole number.

so the answer to your question is.... DECIMAL.

There are 6 girls and 4 boys taking karate lessons. Write the ratio that compares the
number of girls taking karate lessons to the total number of students taking karate
lessons

Answers

6:10

(6 girls for every 10 students)

Answer:

6:10

6+4=10

Step-by-step explanation:

Barnika bought 100 eggs for Rs. 900. Out
of them. 8 were broken. She sold the remaining eggs
at the rate of Rs. 10.50 each. Find the profit or loss
percent.

Answers

Step-by-step explanation:

cost of an egg= 900/100= Rs.9

Total cost = 100×9=Rs.900

when 8 eggs broken, the eggs remained to sell is 92(100-8)

Total sales = 10.50×92=Rs.966

profit = total cost-total sales

profit =966-900= Rs.66

profit percentage =profit/total sales×100%

66/966×100%=6.832%

Please help me with this question ASAP.

Answers

UW = 67

Explanation:

1. Find UV in terms of x.
6x - 35 - (4x - 20) = 2x - 15
2x - 15 = 19

2. Solve for x.
2x - 15 = 19
2x = 34
x = 17

3. Use the value of x to find UW.
UW = 19 + (4(17) - 20) = 67

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{67}}}}}[/tex]

Step-by-step explanation:

Given,

UV = 19

VW = 4x - 20

UW = 6x - 35

To find : value of UW

First, finding the value of x

Create an equation and solve for x

[tex] \sf{UV + VW = UW}[/tex]

[tex] \longrightarrow{ \sf{19 + 4x - 20 = 6x - 35}}[/tex]

[tex] \longrightarrow{ \sf{ - 1 + 4x = 6x - 35}}[/tex]

[tex] \longrightarrow{ \sf{4x - 6x = - 35 + 1}}[/tex]

[tex] \longrightarrow{ \sf{ - 2x = - 34}}[/tex]

[tex] \longrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ - 34}{ - 2}}} [/tex]

[tex] \longrightarrow{ \sf{x = 17}}[/tex]

Value of x = 17

Replacing / Substituting the value of x in 6x - 35 in order to find the value of UW

[tex] \sf{UW = 6x - 35 = 6 \times 17 - 35 = 67}[/tex]

UW = 67

Hope I helped!

Best regards! :D

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