Use absolute value to express the distance between −10 and 16 on the number line.

Answers

Answer 1

Answer: 26

Step-by-step explanation:

From -10 to 0 will be 10

1 to 16 are 16

Answer 2

Answer:

Step-by-step explanation:

There are several things you need to know in order to write the absolute value equation for a situation. First is how to formulate what you need. The absolute value equation follows the formatting:

| x - midpoint | = the distance between the midpoint and one of the endpoints.

That means we also need to be able to find the midpoint of -10 and 16. Finding the midpoint is finding the middle, which is the same as finding an average of the 2 numbers.

[tex]M=\frac{-10+16}{2}=3[/tex]

So the midpoint is 3. The distance between 3 and either one of the endpoints is going to be the same, by definition of the midpoint of the 2 numbers. The distance between 3 and 16 is 13 units. The distance between 3 and -10 is also 13 units. So, to put this into an absolute value equation,

| x - 3 | = 13


Related Questions

Explain how to model the problem with algebra tiles and
then write an algebraic expression that represents the
situation.
Adrian lost one of his hats.

Answers

Answer:

The variable, the number of golf balls, is modeled by an orange x tile.

Finding 8 more golf balls is modeled by 8 orange + tiles.

The expression that represents the situation is x + 8.

Answer:

x-1 tile

Step-by-step explanation: trust me

is 3/5 equal to 60/100

Answers

Answer: yes 3/5 equal to 60/100

Step-by-step explanation:

The answer is it is because if you do

5 times 20 its 100

and 3 times 20 is 60

so what you do to the bottom you do to the top

so the answer is yes 3/5 equal to 60/100

Hope this helps :)

Answer:

Yes

Step-by-step explanation:

[tex]\frac{3}{5} and \frac{60}{100}[/tex] are equivalent fractions. Equivalent fractions are fractions that have the same value of decimal. so when you simplify 60/100 you will definitely get 3/5. And both of their's decimal is equal which is 0.6.

GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.

Answers

Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

 

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

please mark brainliest!

Which of the following statements best describes theorems

Answers

Answer:

The answer to your question is the first option.

Step-by-step explanation:

Here is some information about a play starts at 7:30pm first act last 46 minutes interval lasts 20 minutes second act last 53 minutes at what time does the second act end

Answers

Answer:

9:29 PM

Step-by-step explanation:

Let us add the number of minutes the first act, interval and second act lasted:

46 + 20 + 53 = 119 minutes

Converting this to hours and minutes:

60 minutes = 1 hour

119 minutes = 1 hour 59 minutes

Therefore, the time that the second act ends is:

  H       M

  7   :   30 PM

+ 1    :  59  

  9   :   29

The second act will end by 9:29 PM

A manufacturer designs a circular ornament with lines of glitter as shown. Identify m∠PSR.



m=60


m=30


m=90


m=120

Answers

Answer:

120

Step-by-step explanation:

The measure of the arc QR⏜ intercepted by the inscribed ∠QPR is given.

According to the Inscribed Angle Theorem, the measure of the inscribed angle is equal to one-half the measure of the arc.

m∠QPR=12mQR⏜

Substitute 60° for mQR⏜.

m∠QPR=12(60°)

Simplify.

m∠QPR=30°

The figure shows the same circle as in the beginning of the task. Triangle P R S is highlighted in red. Angle S P R measures 30 degrees.

It is given that m∠SRP=30°. Use the Triangle Sum Theorem to find the measure of the unknown ∠PSR.

m∠SRP+m∠SPR+m∠PSR=180°

Substitute the known values.

30°+30°+m∠PSR=180°

Simplify.

60°+m∠PSR=180°

Subtract 60° from both sides.

m∠PSR=120°

Therefore, m∠PSR=120°.

PLZ HELP! Joel rolls two fair number cubes at the same time. What is the probability that the sum of the numbers will be odd or less than 4? Show your work.

Answers

Answer:

Joel rolls two fair number cubes at the same time.

Each cube has six sides 1, 2, 3, 4, 5, 6

=> There are 6 x 6 = 36 possible pairs (or 36 possible sums)

The collection of pairs that have sum less than 4 includes (1, 2), (2, 1) and (1, 1) => 3 cases (*)

The sum that is odd when two cubes show one odd number and one even number. Therefore each side of first cube has 3 options from second cube to form an odd sum. => The total number of cases: 6 x 3 = 18  cases

In these 18 cases, there are two cases (1, 2) and (2, 1) which have been counted already at (*) => Total case that the sum of the numbers will be odd or less than 4: T = 3 + 18 - 2 = 19 cases

=> Probability that the sum of the numbers will be odd or less than 4:

P = 19/36 = 0.53

Hope this helps!

:)

If you bike 8 miles south and then 6 miles east, what is the distance you are from your starting point? 10 miles 100 miles 14 miles

Answers

Answer:

10 miles

Step-by-step explanation:

Given: Bike goes 8 miles south and then 6 miles east

To find: distance between the final point and the starting point

Solution:

Pythagoras Theorem

In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.

In ΔOAB,

[tex]OB^2=OA^2+AB^2[/tex]

Put [tex]OA=8\,,\,AB=6[/tex]

[tex]OB^2=8^2+6^2=64+36=100[/tex]

Take square root on both sides.

[tex]OB=\sqrt{100}=10\,\,miles[/tex]

So, distance between the final point and the starting point is 10 miles

Answer:

10 miles

Step-by-step explanation:

1. If (1, -2) is a solution of a linear equation 2x – y = p, then find the value of p.​

Answers

Answer:

Just put the values of x and y

x = 1

y = -2

2x – y = p

2(1) - (- 2) = p

p = 4

Answer:

The value of p is 4.

Step-by-step explanation:

In order to find p, you have to substitute the value of x and y into the linear equation :

[tex]2x - y = p[/tex]

[tex]let \: x = 1 \\ let \: y = - 2[/tex]

[tex]2(1) - ( - 2) = p[/tex]

[tex]2 + 2 = p[/tex]

[tex]p = 4[/tex]

In a class of 101010, there are 222 students who forgot their lunch. If the teacher chooses 222 students, what is the probability that both of them forgot their lunch?

Answers

Answer:

1/455

Step-by-step explanation:

place 222 over 101010 and divide

Answer:

1/45

Step-by-step explanation:

Step-by-step explanation

Write this equation in slope-intercept form. y - 3 = 5(x +
3)

Answers

Answer:

y = 5x+18

Step-by-step explanation:

y - 3 = 5(x + 3)

Distribute

y -3 = 5x+15

Add 3 to each side

y - 3+3 = 5x + 15 +3

y = 5x+18

This is slope intercept form (y = mx+b) where m is the slope and b is the y intercept

What is the length of jk

Answers

Idk what is the length of jk it doesn’t show anything

Please please please help me!

Answers

Answer: 37.68 feet.

Step-by-step explanation:

To find the diameter of a circle, use the equation:

C = 2 * pi * r, where r is the radius of the circle.

The diameter is 12 feet, and the radius is 6 feet.

C = 12 * pi

C = 37.68 feet.

What instruments are used in the song airplanes by B.o.B?

Answers

Answer:

Piano, guitars, drum set, and voices

Step-by-step explanation:

Given the following exponential function identify weather the change represents growth or decay and determine the percentage rate of increase or decrease y=550(0.97)x

Answers

Answer:

The exponential function is that of decay

The percentage decrease is by 3%

Step-by-step explanation:

The exponential equation we are considering is;

y = 550(0.97)^x

Now to know if it’s decay or growth, we shall be considering what we have in the bracket

Mathematically, we can express 0.97 as follows

0.97 = 1-0.03

So what does this means? There is a decrease in subsequent values from one value of y to another.

This means that the equation is for decay as what the term raised to an exponent is less than 1.

Now we want to determine the percentage rate of increase or decrease

What we need to do is to represent the 0.03 difference in fraction

That would be 3/100

So this means that the percentage decrease is by 3%

Caily bought 5.2 pounds of grapes for $7.75. Using the unit rate, how much would 3 pounds of grapes cost? *

Answers

10.8 that’s the answer bro

In a local city, the temperature at noon is Negative 3 degrees Celsius. The temperature is expected to decrease by 2.5 degrees Celsius each hour until the temperature reaches Negative 18 degrees Celsius. How many hours will it take for the temperature to reach Negative 18 degrees Celsius? 6 hours 7 hours 7.2 hours 8.4 hours

Answers

Answer:

6

Step-by-step explanation:

It takes 6 hours to reach -18°C. Therefore, option A is the correct answer.

Given that, the temperature at noon=-3°C, every hour temperature decreased by -2.5°C.

How do multiply whole numbers and decimals?

Multiplying Decimals has the same procedure as that of multiplication of the whole numbers, except for the placement of the decimal point in the product.

Now, every hour temperature decreases by -2.5°C, we need to find how many hours it takes to -18°C.

So,  -2.5×6=-15°C

Then, final temperature=initial temperature+increased temperature.

=-3°C+(-15°C)=-18°C

Therefore, option A is the correct answer.

To learn more about the integers visit:

https://brainly.com/question/15276410.

#SPJ5

HELP PLEASE ASAP!!!!

Adult Golden Retrievers have a mean weight of 64 pounds with a standard deviation of 8 pounds. If you take a random sample of 35 gold retrievers, what is the probability the sample mean will be less than 65.5 pounds?

0.8643

0.1357

0.8665

0.1335

Answers

Answer:

Step-by-step explanation:

Let x be the random variable representing the mean weight of Adult Golden Retrievers. Assuming the weights are normally distributed(number of samples is greater than 30), we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 64

σ = 8

n = 35

the probability that the sample mean will be less than 65.5 pounds is expressed as

P(x < 65.5)

For x = 65.5,

z = (65.5 - 64)/(8/√35) = 1.11

Looking at the normal distribution table, the probability corresponding to the z score is 0.8665

Therefore, the probability that the sample mean will be less than 65.5 pounds is 0.8665

10.) A study recorded the reactions of 186 polar
bears as they were approached by a tundra
buggy. Some bears did not appear to respond,
while others responded by sitting, standing,
walking away, or running away. There were 94
more bears that did not respond than did
respond. How many bears responded and how
many bears did not respond?

Answers

the answer is 94 bears reponded and 92 did not II thnk

what expression is equal to (3d^4)^2

Answers

Answer:

Simplify the expression using the rules of exponents.

9d^8

Step-by-step explanation:

answer is 9d^8

1/3(2x-8)=4 algebraic properties

Answers

Answer:

[tex]x=10[/tex]

Step-by-step explanation:

[tex]1/3(2x-8)=4[/tex]

[tex]2/3x-8/3=4[/tex]

[tex]2/3x=4+8/3[/tex]

[tex]2/3x=20/3[/tex]

[tex]x=20/3 \times3/2[/tex]

[tex]x=60/6[/tex]

[tex]x=10[/tex]

Answer:

10

please see the attached picture for full solution

hope it helps

Good luck on your assignment

To make 100g of jam you need 41g of strawberries, 29g of blackberries and the rest should be sugar. What is the ratio of blackberries to sugar? Give your answer in its simplest form.

Answers

Answer:

The ratio is 29:30

Step-by-step explanation:

First, we need to calculate the mass of sugar in the mix

That would be 100-41-29 = 100-70 = 30g

So the ratio of blackberry to sugar would be mass of the blackberry : mass of sugar

From the question, mass of blackberry = 29g while the mass of sugar = 30g

Mass of blackberry to mass of sugar = 29:30

Please help I don’t understand this

Answers

Answer: 25 hours

Step-by-step explanation:

Let r = rate, t = time

From 1st sentence,

5r x 12 = 3

60r = 3

r = 3/60 = 1/20

From the next,

4r x t = 5

4 x 1/20 x t = 5

4/20t = 5 = 25

people. Houses Hours

5. 3 12

4. 5. ?

Cross multiply and get the reciprocal

4*3/5*5/12

12/25 *1/12

= 25

Need help with this math. 13 points

Answers

Answer:The triangle is dilated by a factor of 1/2

Step-by-step explanation:

Answer:

a scale factor of 2

Step-by-step explanation:

at which root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x-axis ?

Answers

Answer:

-7

Step-by-step explanation:

The equation is simplified so there are two possible answers here, -4 and -7

There is a root where y = 0 and x = a number

At -4 and -7 y = 0

However at -4 the function bounces since the (x+4) is raised to the 6th power.

When you have an even power, the function bounces at the x-axis, and when you have an odd power the function goes through the x-axis.

Since you can only choose one answer, the logical answer would be -7.

At x = -7, y = 0 and the function crosses the x-axis.

At x = -4, y = 0 but the function bounces on the x-axis.

The logical answer here is -7.

The graph crosses the x-axis at x = -7

Roots

The roots of a function are the zeros of the function

The function of the graph is given as:

[tex]f(x) =(x+4)^6(x+7)^5[/tex]

Equation

In the above equation, the roots of the functions and their corresponding multiplicities are:

Root: -4, Multiplicity: 6Root: -7, Multiplicity: 5

x-axis

The graph will cross the x-axis, when the multiplicity is odd

The root, -7 has an odd multiplicity.

Hence, the graph crosses the x-axis at x = -7

Read more about roots and multiplicities at:

https://brainly.com/question/2833285

Simplify
3m + 2n - (m + n)​

Answers

Answer:

2m +n​

Step-by-step explanation:

3m + 2n - (m + n)​

Distribute the minus sign

3m + 2n - m - n

Combine like terms

3m -m   +2n -n

2m +n​

the answer is 2m + m

A student pulls a box of mass 5 kg with a force of
20 N through a horizontal distance of 2.5 m. Calculate the
work done by the student.

Answers

Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j

Please help very easy.
Write an equation for "there are 20 more chickens than rabbits and together there are 256"

Answers

Answer:

20+r +r = 256

Step-by-step explanation:

Let r = rabbits

c = chickens

c = 20 +r  since there are 20 more chickens than rabbits

Together there are 256

c+r = 256

Replacing c with 20+r

20+r +r = 256

The average of two numbers is 7, and three times the difference
between them is 18. Find the numbers. use the simultaneous equation plz guys​

Answers

Answer:

10 & 4

Step-by-step explanation:

Let the numbers are a and b.

Their average = 7

= > ( a + b ) / 2 = 7

= > a + b = 2 * 7 = 14 ...( 1 )

Also,

= > 3 times of difference between a and b = 18

= > 3( a - b ) = 18

= > a - b = 6 ... ( 2 )

adding ( 1 ) & ( 2 ) :

= > ( a + b ) + ( a - b ) = 14 + 6

= > 2a = 20

= > a = 10

Thus,

= > a + b = 14 → 10 + b = 14

= > b = 14 - 10 = 4

Point Y is on XZ. YZ=5.2 and XZ=12.5. What is XY?

Answers

Answer:

XY = 7.3

Step-by-step explanation:

             ?                        5.2

X ------------------------Y---------------Z

|<----------------12.5------------------->|

XZ = 12.5

YZ = 5.2

XY + 5.2 = 12.5

XY = 12.5 - 5.2

XY = 7.3

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