The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?

Answers

Answer 1

The distance between two numbers is the absolute value of their difference.

Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:

[tex]d=|-4-5|=|-9|=9[/tex]

[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]

So, the two points are 9 units away.

Answer 2
Final answer:

The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.

Explanation:

The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.

So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.

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Related Questions

A 3-pack of beaded necklaces costs $4.47. What is the unit price?
per necklace​

Answers

Answer:

1.49 per necklace

Step-by-step explanation:

there are 3 necklaces sold for 4.47. if we divide the three necklaces by the overall price we get the price per necklace. 4.47 divided by 3 = 1.49

Answer:

Each necklace cost $1.49

Step-by-step explanation:

Three necklaces cost $4.47. So to see how much one necklace cost you must divide the cost of all three necklaces by 3. Then you get $1.49

90 POINTS - Algebra Is this relationship proportional?

Answers

Answer:

-2 -27 the answer is -24

1 and 12 4

4 and 57 the answer is 53

10 and 147 the answer is 157

Answer:

No

Step-by-step explanation:

Proportional relationships are defined as two quantities that directly relate to one another.

-2/-27= 0.07

10/147= 0.06

These values are different meaning that the relationship is not proportional! You can also write the values as a fraction to see if they relate.

help me pls. I need help with the question

Answers

Answer:

$173.90

Step-by-step explanation:

The most obvious way to answer this question is to multiply $9.40 by 18.5

This would result in 173.90.

But I realize nobody like to deal with decimals in a multiplication problem, so here's the way I would do it (especially if you don't have a calculator!)

The strategy is to break it down!

Multiply $9.40 x 18 hours to start, since this is easier.

[tex]9.4 x 18 = 169.2[/tex]

So, that's $169.20 for 18 hours of work.

We aren't finished, because Abdel worked for 18.5 hours.

So, what half of $9.40?

[tex]9.4 / 2[/tex]

= 4.7

-or-

$4.70

So, knowing that Abdel makes $4.70 in half an hour, lets just add that onto the $169.20 we got earlier.

169.2 + 4.7 = 173.9

-or-

$173.90 for 18.5 hours of work!

What Is simplified form of 2+3 (5-2) to the power of 2

Answers

In order to find the answer you will have to use PEMDAS and simplify making sure not to solve the equation fully.

[tex]2+3(5-2)^2[/tex]

Using PEMDAS:

[tex]2\times2=4[/tex]

[tex]2+3\times(5-4)[/tex]

[tex]5-4=1[/tex]

[tex]2+3\times4[/tex]

[tex]3\times4=12[/tex]

[tex]2+12[/tex]

Therefore your answer is "2+12."

Hope this helps.

The graph represents one side of the roof of a building.
The slope of the line is

Answers

Answer:

The slope of the line is 7/2.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the given figure it is clear that the line passes though two points (0,0) and (4,14).

Using the above formula, the slope of the line is

[tex]m=\frac{14-0}{4-0}[/tex]

[tex]m=\frac{14}{4}[/tex]

[tex]m=\frac{7}{2}[/tex]

Therefore the slope of the line is 7/2.

Answer:

the answer is 7/2

Step-by-step explanation:

solve the equation
5h +2 -h = 22​

Answers

Answer:

h=5

Step-by-step explanation:

5h +2 -h = 22​

4h+2=22

4h=20

h=5

Answer:

h = 5

Step-by-step explanation:

Start by subtracting 2 from both sides or subtraction property of equality

5h - h = 20

Combine like terms

4h = 20

Division property of equality or divide 4 from both sides

Your final answer is h = 5

Hope this helps

- Que

Find the two square roots of 4

Answers

Whenever you take the square root of a number you get a negative and a positive result: √ 4 = ± 2 or { − 2 , 2 } − 2 ⋅ − 2 = 4 and 2 × 2 = 4

The two square roots of 4 are 2 and -2.

What is square root?

The factor of a number that, when multiplied by itself, yields the original number is known as the square root of the number. Special exponents include squares and square roots. Think about the number 9. When the number 3 is multiplied by itself, the result is 9. This can be expressed as either 3² or 3 × 3.

Given:

The number is 4,

Factorize the number as shown below,

4 = 2 × 2

Calculate the value of the square root of 4 as shown below,

√4 = √(2 × 2)

√4 = ±2

√4 =  2 or -2

Check as:

-2 × -2 = 4

2 × 2 = 4

Thus, the square root of 4 is  2 and -2.

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Wayne has a recipe in a 3 inches by 5 inches index card that he wants to enlarde to 15 inches long. How wide will the enlargement be?

Answers

Answer:

3 + 15

5 + 15

kalalalalalalalalalalasla

Step-by-step explanation:

If DM=25 what is the value of r?

Answers

Answer:

r=12.5 units

Step-by-step explanation:

Well assuming that DM means diameter of a circle, then r should be the radius of the circle.

Diameter of a circle is twice the radius of the circle, hence with the value of Diameter, you should half it to get the value of radius.

Given  diameter =25

Radius will be= 25/2 = 12.5 units

The value of r is 12.

This is because the line segment DM is made up of two segments, DG and GM.

We are given that the length of DM is 25, and the lengths of DG and GM are r+2 and 2r-13, respectively.

Therefore, we can set up the following equation:

r+2 + 2r-13 = 25

Combining like terms, we get:

3r - 11 = 25

Adding 11 to both sides, we get:

3r = 36

Dividing both sides by 3, we get:

r = 12

Therefore, the value of r is 12.

Question

M angle 1 equals 4x + 15 + m angle 2 equals 2x + 16 what is angle 3 and what is X​

Answers

Are you talking about the angles in a triangle? Your question is not clear. I'll assume you are talking about a triangle.

Angle 1 + Angle 2 + Angle 3 = 180°

4x + 15 + 2x + 16 + x = 180°

Solve for x to find Angle 3, which in this case is the value of x.

Which expression is equivalent to 216x27?

Answers

Answer:

In multiplication, 216x27 is the same as 27x216

It is also the same expression as 6x^9

Answer:5832

Step-by-step explanation:

How many 1 x 1 inch square tiles IH
will fit in an 8 x 8 inch square
tile? Draw.​

Answers

Answer:

8

Step-by-step explanation:

8 x 8 / 1 x 1 = 8

10. Three fifths of the T-shirts in a T-shirt shop are
blue. Five eighths of those T-shirts are on sale.
One third of the blue T-shirts that are on sale are
size medium. What fraction of the shop's T-shirts
are blue T-shirts that are on sale and are size
medium? Explain.​

Answers

Answer:

1/8

Step-by-step explanation:

Imagine the value of all of the t-shirts are equal to 1.

3/5 of all of them are blue, so 3/5 of 1 --> 3/5 * 1 =3/5

5/8 of the blue tshirts are on sale, so 5/8 of 3/5 --> 5/8 * 3/5 = 3/8

1/3 of those tshirts are medium, so 1/3 of 3/8 --> 1/3 * 3/8 = 1/8

So, 1/8 of all of the tshirts are blue, on sale, and medium

The fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

Determining the fraction of the blue T-shirt

To find the fraction of the shop's T-shirts that are blue, on sale, and size medium,  multiply the fractions representing each condition.

Given:

Three-fifths (3/5) of the T-shirts in the shop are blue.

Five-eighths (5/8) of the blue T-shirts are on sale.

One-third (1/3) of the blue T-shirts on sale are size medium.

To find the fraction of blue T-shirts that are on sale,  multiply the fractions representing each condition:

(3/5) * (5/8) = 15/40 = 3/8

This means that 3/8 of the blue T-shirts are on sale.

To find the fraction of blue T-shirts that are on sale and size medium, multiply this result by the fraction representing the size medium condition:

(3/8) * (1/3) = 3/24 = 1/8

Therefore, the fraction of the shop's T-shirts that are blue, on sale, and size medium is 1/8.

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5% of Mr. Louise jokes I funny if he makes 16 funny jokes this year how many total joke does he make

Answers

Answer:

well 5% of 16 is 0.8 soo...?

Step-by-step explanation:

Answer:

he makes 0.8 jokes a year

A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll, how much did the doll cost?

Answers

Answer:

The cost of the doll is $11.75

Step-by-step explanation:

Let

x ----> the cost of the doll

y ----> the cost of the toy t-rex

we know that

[tex]x+y=33[/tex] -----> equation A

[tex]y=x+9.50[/tex] ----> equation B

substitute equation B in equation A and solve for x

[tex]x+(x+9.50)=33\\2x+9.50=33\\2x=33-9.50\\2x=23.50\\x=\$11.75[/tex]

therefore

The cost of the doll is $11.75

Answer:

Doll cost = $11.75.

Step-by-step explanation:

Given  :A doll and a toy t-rex cost $33 together. If the t-rex toy costs $9.50 more than the doll.

To find :   how much did the doll cost.

Solution : We have given

A doll and a toy t-rex cost $33 together.

Let the Doll cost = x .

According to question .

t-rex toy costs $9.50 more than the doll.

T-rex cost = $9.50+ x .

Then, A doll and a toy t-rex cost $33 together.

Doll cost + T oy t-rex cost =  $33

Plugging the values

x +  $9.50+ x  =$33 .

2x + $9.50 =$33 .

On subtracting both sides by $9.50

2x =33 - 9.50

2x = 23.5.

On dividing both sides b y 2

x = $11.75

Doll cost  =$11.75

Toy Cost = 9.50 +11.75.

Toy Cost = $21.25

Therefore, Doll cost = $11.75.

Please answer this correctly

Answers

88

Step-by-step explanation:

Answer:

Step-by-step explanation:

12: 88

Which expression is equivalent to 2^5
A 4 x 2^3
B 25
C 4^3
D 2^2+ 2^3

Answers

Answer:

Step-by-step explanation:

2^5 = 32 answer A

can someone walk me through how to do this problem please?​

Answers

Hey!

----------------------------------------------------------------

We Know:

m∠AED = 34°

m∠EAD = 112°

----------------------------------------------------------------

Solution:

You notice 4 small triangles in both triangles. That shows that both triangles are the same.

The angles are the same for m∠BDC and m∠AED.

The angles are the same for m∠ADB and m∠EAD

----------------------------------------------------------------

Angles:

m∠BDC = 34°

m∠ADB = 112°

----------------------------------------------------------------

Congruent Angles:

m∠AED ≡ m∠BDC

m∠EAD ≡ m∠ADB

----------------------------------------------------------------

Hope This Helped! Good Luck!

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

We have,

In the diagram,

There are two congruent triangles.

ΔAED and ΔBDC

Now,

The congruent angles are:

∠AED = ∠BDC

∠EAD = ∠DBC

∠ADE = ∠BCD

Now,

∠AED = 34

∠EAD = 112

This means,

∠AED = ∠BDC = 34

∠EAD = ∠DBC = 112

And,

The sum of the three angles inside a triangle is always 180.

So,

∠AED +∠EAD + ∠ADE  = 180

34 + 112 + ∠ADE = 180

∠ADE = 34

Now,

∠ADE = 34

This means,

∠ADE = ∠BCD = 34

Now,

∠ADE + ∠BDC + ∠ADB = 180

34 + 34 + ∠ADB = 180

∠ADB = 180 - 68

∠ADB = 112

Thus,

The measure of the angle ∠BDC is 34.

The measure of the angle ∠ADB is 112.

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How do you solve 3(1+5)

Answers

Step-by-step explanation:

3(1+5)  (distributive property)

= 1(3) + 5(3)

= 3 + 15

= 18 (answer)

First you add 1 and 5. Which is six. So now your equation looks like this: 3(6). 3(6) is the same as 3 x 6. Which is 18

a vendor sold 228 sodas & hotdogs. the number of sodas sold was 3 times the number of hot dogs sold. Find the number of sodas and hotdogs sold

Answers

s=sodas h=hotdogs

228=s+h
s=3h

228=3h+h 228=4h h=57

228=s+57 s=171

Answer: 171 sodas and 57 hotdogs were sold by the vendor

Final answer:

To solve the system of equations, we determined the number of hotdogs sold as 'h' and found out that the vendor sold 57 hotdogs and 171 sodas.

Explanation:

The problem given is a system of equations question where we need to find the number of sodas and hotdogs sold by a vendor when given the total sales and the ratio of sodas to hotdogs. To solve this, we'll denote the number of hot dogs sold as 'h' and the number of sodas sold as 's'. According to the problem, the total number of items sold is 228, which gives us the equation:

s + h = 228.

It's also given that the number of sodas sold is three times the number of hot dogs sold. This is our second equation:

s = 3h.

Now we can substitute the second equation into the first, yielding:

3h + h = 228,

which simplifies to:

4h = 228.

Dividing both sides by 4 gives:

h = 57.

With the knowledge that h = 57, we use s = 3h to find that:

s = 3 × 57,

s = 171.

Therefore, the vendor sold 57 hotdogs and 171 sodas.

What is the mistake?

3a+4b=7ab

Answers

Answer:

You cannot add like terms like that.

Step-by-step explanation:

The terms are supposed to be added together, by combining them like that you are multiplying them together.

7ab because you put it in the wrong orders

What is the value of the expression shown when n=6

Answers

Answer:

42/n-8 which equals -1. (The 3rd answer)

Step-by-step explanation:

8 less means + (-8) and the quotient of 42 and a number means 42/n. Therefore the expression can be derived as (-8)+42/n which can be rewritten as (using the commutative property) 42/n+(-8) or 42/n-8, and to solve substitute n as 6 to find:

42/6-8=7-8=-1

Answer:3rd answer choice

Step-by-step explanation:3rd answer choice

6.24159 rounded to the hundredths place?

Answers

Answer:

6.24

Step-by-step explanation:

You exclude the 1 5 9 and since the 1 isn't higher than a 5 it remains a 4. Getting you 6.24

6.24159 rounded to the hundredths place is 6.24

Rounding given values to the nearest hundredth is similar to rounding such values to 2 decimal places

Given the value 6.24159, to round this to the nearest hundredth means that;

the values that must be after the decimal point must be 2.

Hence 6.24159 expressed to the nearest hundredth will be 6.24 since the value that supersedes 4 is not up to 5.

Therefore 6.24159 rounded to the hundredths place is 6.24

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NEED ASAP!!
Sixteen of the 24 schools in Ryan’s county are public schools. Ryan used this spinner to predict the probability that the winner of the county spelling bee in each of the next four years will attend a private school. Which set of outcomes from Ryan’s simulation implies that the winner will attend a private school at least three times in that span? Select two options.
A-A-A-A
B-B-A-B
A-B-A-B
A-B-B-B
B-A-B-A

Answers

Hey!

------------------------------------------------

Answers:

B-B-A-B

A-B-B-B

------------------------------------------------

Explanation:

We assume that the winner is from a private school (B). As we look at the options we can see that there are two options that show B at least 3 times in the span.

------------------------------------------------

Hope This Helped! Good Luck!

b and dAnswer:

Step-by-step explanation:

Factor completely 6x2-15x

Answers

Answer:

Step-by-step explanation:

Factor 3x out of 6x2−15x

.

3x(2x−5)

Answer:

Step-by-step explanation:

6x²-15x = 3x(2x- 5)

What is the image of (0, 1) after a reflection over the line y = x?

Answers

Answer:

(1,0) would be the correct answer.

Step-by-step explanation:

any point that is reflected across y=x will change unless it is on the line. if reflected across y=x, the coordinates will become y,x

the sum of the digits of a two-digit number is 7 the tens digit is one more than twice the units digits find the number

Answers

Answer: 3+4=7

Step-by-step explanation:

So basically let’s say

A= #1

And So right now we have A+B=7

B= #2

So b=a-1 right? Yeah ok so then what you need to do is find A....

So 7-1=6 and 6÷2 = 3 so

A=3

And Than 3+4=7 so that is your answer

B=4

Final answer:

The two-digit number which meets the criteria that its digits sum to 7 and the tens digit is one more than twice the units digit, is 52.

Explanation:

Let's denote the units digit as 'x' and the tens digit as 'y'. We know that the sum of the digits is 7, which gives us the equation x + y = 7. Secondly, we know the tens digit is one more than twice the units digits, so y = 2x + 1. We can solve these two equations simultaneously.

Substituting y from the second equation in the first gives us x + (2x + 1) = 7. Simplifying this results in 3x + 1 = 7. Upon solving we find x = 2. Substituting x = 2 into the first equation we get y = 7 - 2 = 5. Thus, the number is 52.

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Figure abcd is a kite. Find the value of x. ​

Answers

Answer:

x = 30

Step-by-step explanation:

(x+20) + (x+10) +90 = 180

(2x+30) + 90 = 180

2x+120 = 180

2x = 60

x = 30

The value of x will be 30.

What is a rhombus?

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

Form the Figure abcd is a kite. we need to Find the value of x. ​

Therefore,

The sum of angle property;

(x+20) + (x+10) +90 = 180

(2x+30) + 90 = 180

2x+120 = 180

2x = 60

x = 30

Hence, the value of x will be 30.

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If y = 5x - 2 were changed to y = x - 2, how would the graph of the new
function compare with the first one?

A. It would be less steep.

B. It would be shifted down

c. It would be shifted left.

D. It would be steeper.
SUBMIT

Answers

A. It would be less steep.

Answer:

A. It would be less steep.

Step-by-step explanation:

took the test

gcf of 14, 49, and 7 pls help

Answers

Answer:

GCF(14, 49, 7) = 7

Step-by-step explanation:

14 = (2)(7)

49 = (7)(7)

7 = (7)(1)

GCF(14, 49, 7) = 7

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