Use the number line to determine the absolute value. Enter the value, as a mixed number in simplest form, in the box. ∣∣−2 2/3∣∣ = Pleasee help will gove brainliest!

Answers

Answer 1

Answer: 2/23

Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number  that means we have to find the distance of   from the origin of a number line.

Distance of  from the origin is  . As distance can never be negative.

Therefore, the absolute value of  is 2/23 .


Related Questions

The journey of a car travelling towards
Perth, Australia, can be expressed by the
relation d=-75t + 275, where d is the
distance from Perth in km and t is driving
time in hours.
a Is this relation a function? Justify your
answer.
b Rewrite the equation in functional
notation.
At the start of the journey, how far was
the car from Perth?
С
d What values of I do not make sense for
this situation?

Answers

Answer:

a. The given equation is d = -75·t + 275 is a function

b. f(t) = -75·t + 275

c.  275 km

d. The situation does not makes sense for t > 11/2 hours.

Step-by-step explanation:

a. Given that a relation is a functional relation if for each input of a member in the relation, there is only one output for the other member, therefore;

The given equation is d = -75·t + 275 is a function

As when t = 1, d = 200 km

b. The equation written in functional notation, f(t) is f(t) = -75·t + 275

c. At the start of the journey, t = 0

Therefore;

f(0) = -75×0 + 275 = 275 km

d. The values of t that do no make sense in the function are given as follows

0 = -75×t + 275

t = 275/75 = 11/3 = 3.67 hours

For times above 3.67, the distance becomes negative

Therefore, the situation does not makes sense for t > 11/2 hours.

Jayden walked a total of 12x+5r-8 miles on Monday and Tuesday. If he walked 7x-10r miles on Monday, how
many miles did he walk on Tuesday?

Answers

Answer: Jayden walked 8 miles on Tuesday

Step-by-step explanation:

Using a sheet of graph paper, solve the following system of equations graphically. x+y=0 x-y+2=0

Answers

Answer:

(-1, 1)

Step-by-step explanation:

I used a graphing tool to graph the two lines. When graphed, the lines intercept at point (-1,1). Therefore, it is the solution to the system of equations.

Hope this helps.

1. One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this value to
determine the number of people that would fit in a room that is 216 in x 360in.

Answers

Answer:

216 people

Step-by-step explanation:

Given:

2.5 feet² is occupied by 1 person

Dimension of room = 216 in × 360 in

Required:

No. of people that would occupy the room

SOLUTION:

Step 1:

Convert the dimensions of the room from in to ft

Note: 1 foot = 12 inches

216 inches = [tex] \frac{216}{12} = 18 ft [/tex]

360 inches = [tex] \frac{360}{12} = 30 ft [/tex]

Step 2: calculate area of the room.

Area of the room = 30*18 = 540 ft²

Step 3: calculate the no. of people the room will contain.

2.5 ft² will contain one person

Therefore, 540 ft² will contain: [tex] \frac{540}{2.5} = 216 people [/tex]

when you reverse the digits of a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 5

Answers

Answer:

The number is 50.

Step-by-step explanation:

We need to understand the problem and convert it into a mathematical equation, or a series of equations. That way, we can solve them with ease.

The first thing we can do is to assign variables to represent the values that we do not know.

Let us assign the first number to be = x and the second number to be = y.

Important!

At this point, we must put their place values into consideration.

Since we are dealing with a two-digit number, we only have tens and units.

We will account for the place values of the variables assigned (x and y) by multiplying them by 10 and 1

x is the tens place value. To occupy this place value, it will become 10x

y is the unit place value. To occupy this place value, it will become 1 X y = y

This means that the original number is of the format x y

To convert this to an equation, it will become 10 (x) + y

Once the number order is reversed we will have 10 (x) + y = 10(y) + x - 45

grouping like terms

10x-x - 10y +y = - 45

9x -9y = - 45

From the second statement, we also have that x + y = 5

hence we have two equations x + y = 5   ---------- equation 1

                                                  9x -9y = - 45 ------------ equation 2

solving simultaneously, we have that the two numbers are 0 and 5

The number therefore, is 50

x = 5 and y = 0

awnser these questions​

Answers

Problem 1:
3x + 4 = 10
3x = 6
x = 2

Problem 2:
4x - 20 = 4
4x = 24
x = 6

Answer:

Problem 2:

4x - 20 = 4

4x = 24

x = 6

Step-by-step explanation:

65347457467+4609800=?

Answers

Answer:

65,352,067,267

i dont know what else to say.

Hello

What is the value of the expression 3y−zy+5z when y = 6 and z = 2? 1. 1 2. 3 3. 4 4. 16 There is a pic too plz help...fast!!!!

Answers

Answer:

The answer is 1

Step-by-step explanation:

[tex] \frac{3y - z}{y + 5z} [/tex]

To find the value of the expression when

y = 6 and when z = 2 , substitute the values into the above formula and solve.

That's

[tex] \frac{3(6) - 2}{6 + 5(2)} \\ = \frac{18 - 2}{6 + 10} \\ \frac{16}{16} [/tex]

We have the final answer as

1

Hope this helps you

Answer:

[tex]\Huge \boxed{1}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{3y-z}{y+5z}[/tex]

Let y = 6 and z = 2.

[tex]\Rightarrow \displaystyle \frac{3(6)-2}{6+5(2)}[/tex]

Evaluate the expression.

[tex]\Rightarrow \displaystyle \frac{18-2}{6+10}[/tex]

[tex]\Rightarrow \displaystyle \frac{16}{16}[/tex]

[tex]\Rightarrow 1[/tex]

The value of the expression when y = 6 and z = 2 is 1.

The New Horizons space probe passed the moon 8 hours and 35 minutes after launch. Write this number as a fraction and reduce. Choose the correct answer. Use 60 as your denominator, not 100, because there are 60 minutes in one hour. A. 9 3/7 hours B. 8 hours C. 8 1/2 hours D. 8 7/12 hours

Answers

Answer:

D

Step-by-step explanation:

8 hours and 35 minutes can be rewritten as the mixed fraction 8 35/60.

You can reduce this fraction by dividing the numerator and denominator by 5.

35/5 = 7

60/5 = 12

So, 35/60 = 7/12

Now add 8 to your reduced fraction.

8 + 7/12 = 8 7/12

Hope this helped!

an archer shoots an arrow into the air. The equationfor the height of the arrow in metres is (h) over time (t) in secondsis given by the equation: h= -2t^2+6t + 1 find the maximum height of the arrow? find the time for the arrow to reach that height please answer properly and not randomly thankyou.

Answers

Answer:−2=x that’s the answer

If f(x)=2x+5, then what is f(3)?

Answers

Answer:

[tex]\Large \boxed{f(3)=11}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+5[/tex]

For f(3), the input for the function f(x) is 3.

Let x (input) = 3.

[tex]f(3)=2(3)+5 \\\\ f(3)=6+5 \\\\ f(3)=11[/tex]

Answer:

11

Step-by-step explanation:

f(x)=2x+5

Let x = 3

f(3) = 2*3+5

     = 6+5

    = 11

What are the factors of x2 − 64? Prime (x − 4)(x + 16) (x − 8)(x − 8) (x + 8)(x − 8)

Answers

[tex] {x}^{2} - {8}^{2} [/tex]

[tex](x - 8)(x + 8)[/tex]

PLEASE HELP ILL MARK U THE BRAINLIEST IT IS URGENT AND ITS GEOMETRY DONT WASTE ANSWERS PLEASE

Answers

Answer:

∠Q = ∠U = 60°

Step-by-step explanation:

Construct the figure QSUT with your own dimensions as long as QR ≅ RU and SR ≅ RT , where R is the common midpoint.

I choose QR = 4 cm and SR = 5  cm

Then measure ∠Q and ∠U to check if they are equal.

I got that ∠Q = ∠U = 60° proving that;

∠Q ≅ ∠U

hello, please help!! Thank you

Answers

I gave steps in the picture how to solve it was much easier to write it out then type it. hope this helps!

Orville and Wilbur Wright made the first airplane flights in 1903.

Answers

Answer:

True

Step-by-step explanation:

On December 17, 1903, Wilbur and Orville Wright made four brief flights at Kitty Hawk with their first powered aircraft. The Wright brothers had invented the first successful airplane. The Wrights used this stopwatch to time the Kitty Hawk flights.

Answer:

yes

Step-by-step explanation:

What is the value of x in the equation 4x - 2(x+3) = 8

Answers

Answer:

x=7

Step-by-step explanation:

4x-2(x+3)=8

4x-2x-6=8

2x-6+6=8+6

2x=14

x=7

Proof:

4x-2(x+3)=8

4(7)-2(7+3)=8

28-14-6=8

14-6=8

8=8

Hope this helps ;) ❤❤❤

The value of x in the equation 4x - 2(x+3) = 8 is 7.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We need to find the value of x in the equation 4x - 2(x+3) = 8

4x-2(x+3)=8

4x-2x-6=8

2x-6+6=8+6

2x=14

x=7

Proof: 4x-2(x+3)=8

4(7)-2(7+3)=8

28-14-6=8

14-6=8

8=8

Hence, the value of x in the equation 4x - 2(x+3) = 8 is 7.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

Need to find the angles of <1 and <2.

Answers

Answer:

1< and 2< are equal to 125

Step-by-step explanation:

The angle of a straight line is 180, so it would be 180° minus 55°, and that equals to 125°

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c.

Step-by-step explanation:

C is the answer for the picture you added

values of x in simplest form.
9 – 4|3 + 5x| = 5

Answers

Answer:

x=4/5

Step-by-step explanation:

9 - |12-20x| = 5

=>-|12-20x|= 5-9

=>-|12-20x|=-4

=>12-20x=-4

=>-20x=-4-12

=>-20x=-16

=>x=16/20

=>x=4/5

If pqr measures 75 what is the measure Of sqr

Answers

Answer:

∠SQR = 53°

Step-by-step explanation:

happy to help

10 fewer than a number t

Answers

Answer:

t-10

Step-by-step explanation:

fewer than means it comes after

t-10

Answer:

it's t -10

Step-by-step explanation:

One of the fractions is a Repeating decimal the other one is terminated which one is which without dividing how can you tell 1/11 9/100

Answers

Answer:

1/11 is a repeating decimal

9/100 is a terminated decimal

Step-by-step explanation:

Properties of the fractional part of 100 can be determined as percentages.  Using this, we can see that 9/100 will result in .09 or 9%.

Properties of the fractional part of 11 can be seen to be a non-divisible number resulting in a repeating decimal equivalent.  So, 1/11 will result in .090909 ad infinitum.

Note, that odd divisors that are not multiples of 5, typically will result in a repeating decimal.

Cheers.

Calculate the area of the shaded region. Use 3.14 for pi; round to the nearest tenth, if needed. HELP PLSSS I HAVE TO GET THIS DONE SOON!

Answers

Answer:

87.48

Step-by-step explanation:

First find the area of the square

12^2=144

find area of the 2 circles

9*3.14

but theres 2

18*3.14=56.52

144-56.52=87.48

HELPP!!! 20 POINTTS
Given the following Venn diagram, choose the correct set for the following:

Answers

Answer:

2,3,5,6,8,9 (i think)

Step-by-step explanation:

Answer:

2,3,5,6,8,9

Step-by-step explanation:

Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 EndFraction use an appropriate identity to find the value of cot(t).

Answers

Answer:

[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]

Step-by-step explanation:

Given that:

[tex]Cosec (t) = -\frac{13}5[/tex]

for [tex]\pi < t < \frac{3 \pi}2[/tex]

That means, angle [tex]t[/tex] is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

[tex]cosec^2\theta -cot^2\theta =1[/tex]

here, [tex]\theta =t[/tex]

So, [tex]cosec^2t-cot^2t=1[/tex]

[tex]\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}[/tex]

But, angle [tex]t[/tex] is in 3rd quadrant, so value of

[tex]\bold{cot(t) =\dfrac{12}{5}}[/tex]

Answer:

12/5

Step-by-step explanation:

f(x) = -3x2 – 20
Find f(-7)​

Answers

Answer:

Step-by-step explanation:

f(-7)= -3(-7)^2 - 20

f(-7) = -3(49) - 20

       = -147 - 20 = -167

The age of Tony and Vihaan are in the ratio of 8:7. Six years later, their ages will be in the ratio 10:9. Find their ages.

Answers

Answer:

24 and 21

Step-by-step explanation:

the ratio of their ages is 8 : 7 = 8x : 7x ( x is a multiplier )

In 6 years

8x + 6 : 7x + 6 = 10 : 9

Express the ratio in fractional form

[tex]\frac{8x+6}{7x+6}[/tex] = [tex]\frac{10}{9}[/tex] ( cross- multiply )

9(8x + 6) = 10(7x + 6) ← distribute parenthesis on both sides

72x + 54 = 70x + 60 ( subtract 70x from both sides )

2x + 54 = 60 ( subtract 54 from both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Thus

Tony = 8x = 8 × 3 = 24

Vihaan = 7x = 7 × 3 = 21

Answer:

Tanay's age = 24yrs

Vihaan's age = 21yrs

Step-by-step explanation:

let the ages of tanay and vihaan be8x,7x

After 6yrs tanay's age=8x+6

vihaan's age=7x+6

a/q=8x+6/7x+6=10/9

=9(8x+6)=10(7x+6)

=72x+54x=70x+60

72x-70x=60-54

2x=6

x=3

tanay's age=8×3=24yrs

vihaan's age=7×3=21yrs

hope this helps you friend

Find the common difference and the next three terms of the arithmetic sequence. 1/4,1/2,3/4,1,5/4

Answers

Hi there! :)

Answer:

[tex]\large\boxed {\frac{1}{4}}[/tex] Common difference

[tex]\large\boxed{\frac{3}{2}, \frac{7}{4}, 2}[/tex] Next three terms

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

Find the common difference by subtracting the previous term from a term. We can use the terms 1/4 and 1/2:

Convert 1/2 into a fraction over 4:

1/2 · 2/2 = 2/4

Find the common difference by subtracting the fractions:

2/4 - 1/4 = 1/4. This is the common difference.

Find the next 3 terms by adding 1/4:

5/4 + 1/4 = 6/4 (Reduce fraction) = 3/2

6/4 + 1/4 = 7/4

7/4 + 1/4 = 8/4 (Reduce fraction)

Therefore, the next 3 terms are 3/2, 7/4 and 2.

need help due soon thx​

Answers

Answer:

Step-by-step explanation:

Let x=0.121212.....

100x=12.121212...

100x-x=12.12121212...-0.121212...

     99x=12

         x=12/99

so 0.121212... is equal to 12/99

Hope this helps!! :)

Step-by-step explanation:

mark as brainlist

leave a like

10 times 0.63 repeating

Answers

Answer:

6.36363

Step-by-step explanation:

Answer:

6.36 repeating

Step-by-step explanation:

10 x 0.63 repeating

When you multiply ten by any number, you move the decimal to the right one place value.

0.6363...

6.3636...

So the answer is 6.36 repeating.

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