Simplify: |15 − 12|4 − ∣∣−21 + 98∣∣

Simplify: |15 12|4 21 + 98

Answers

Answer 1

Step-by-step explanation:

[tex] = \frac{ |15 - 12| }{4} - | \frac{ - 21 + 9}{8} | [/tex]

[tex] = \frac{ |3| }{4} - \frac{ | - 12| }{ |8| } [/tex]

[tex] = \frac{3}{4} - \frac{12}{8} [/tex]

[tex] = \frac{3}{4} - \frac{6}{4} [/tex]

[tex] = - \frac{3}{4} [/tex]

Option → B

Answer 2

The simplified value of the Expression [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex] in fractional form is 9/8.

To simplify the expression: [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex]

Step 1: Perform the calculations inside the absolute value signs:

[tex]\(\left| \frac{3}{4} \right| \times \left| \frac{-12}{8} \right|\)[/tex]

Step 2: Simplify the fractions inside the absolute value signs:

[tex]\(\left| \dfrac{3}{4} \right| \times \left| \dfrac{-3}{2} \right|\)[/tex]

Step 3: Evaluate the absolute values of the fractions:

[tex]\(\left| \dfrac{3}{4} \right| = \dfrac{3}{4}\)[/tex]

This is because the absolute value of any positive number is itself

[tex]\(\left| \dfrac{-3}{2} \right| = \dfrac{3}{2}[/tex]

and, the absolute value of a negative number is the positive version of that number.

Step 4: Multiply the absolute values:

= 3/4 x 3/2

Step 5: Multiply the fractions:

= 9/8

So, the simplified expression is 9/8.

Learn more about Absolute value here:

https://brainly.com/question/17360689

#SPJ3


Related Questions

please help me wit dis

Answers

Answer:

Volume = 37.68 ft³

Step-by-step explanation:

[tex]V_{cone} = \frac{\pi r^2h}{3}[/tex]

Volume = [tex]\frac{(3.14)(9)(4)}{3}[/tex]

Volume = 113.04/3

Volume = 37.68

-Chetan K

tell me answer i need quick

Answers

Answer: x=18


7x-7=6x+11
7x-6x=11+7
x=18

Expand and simplify 3(5x-2)-2(2x-5)

Answers

11x+4

After distribution it goes to
15x-6-4x+10
Then after you simplify it goes to
11x+4
You first expand the brackets to get 15x-6-4x+10
You then group like terms
15x-4x+10-6
You then simplify to get
11x+4

Find two consecutive natural numbers whose sum is 63.​

Answers

Answer:

31 , 32

Step-by-step explanation:

Explanation :-

let one number be x.And the other will be ( x+1)

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x = 63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x+1+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x+1=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x=63-1}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow x=\cancel{\dfrac{62}{2}}}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 31}}}}}}[/tex]

Verification:-

[tex]\qquad \pmb{\sf\longrightarrow (x+1)+x=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 32+31=63}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 63=63}[/tex]

Therefore

The two consecutive natural numbers whose sum is 63 will be x=31 and x+1=31+1=32

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Help? I dont remember how to do this!!!!

Answers

Answer:

13. 5^7

14. 7^1000

15. 16^10000

25 x 10 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

please help me with this.

Answers

Answer:

8.6 units

Step-by-step explanation:

use the distance formula:  d = [tex]\sqrt{(y-y)^2 + (x-x)^2}[/tex]

d = [tex]\sqrt{[(3-(-2)]^2 + (-3 - 4)^2}[/tex]

d = [tex]\sqrt{5^2 + (-7)^2}[/tex]

d = [tex]\sqrt{25+49}[/tex]

d = [tex]\sqrt{74}[/tex]

d = 8.6

Five Questions FIFTY POINTS...look please don't just get this points I really need help in math rn. tysm for your help really need it..no links please..
Question 1
Solve.

−3 2/3=x−1 1/4

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 2
Solve.

x − (−2 5/6)= −1/5

What is the solution to the equation?

Enter your answer as a simplified mixed number in the box.
Question 3
Solve.

−3 2/3x=−2 1/5

What is the solution to the equation?

Enter your answer as a simplified fraction in the box.
Question 4
Solve for m.

−3/7m=12

m=−28
m=−26
m = 26
m = 28
Question 5
Solve for b.

−1/3b=9

b=−27
b=−3
b = 3
b =27

Answers

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

You're welcome.

Answer:

1 = −3 2/3 = − 1  1 / 4

2 = − (−2 5/6) = −1/5

3 = −3 2/3 = −2 1/5

4 = -28

5 = -27

Step-by-step explanation:

what is 2x+3=r+2 ???

Answers

Answer:

R.4

thank you good luck

Answer:

What variable are you trying to solve? Imma just guess you are trying to solve for x since its on the left side so...

2x+3=r+2

Subtract three from both sides

2x=r-1

Divide 2 from both sides

x=r-1/2 OR

x=1/2r+-1/2

Step-by-step explanation:

Give brainliest pls

Have a nice day :D

So
Ms. Hartselis katen weighed 6.8 pounds the last time she was at the vet's
office. If she was 5.3 pounds the first time she was weighed, what is the
percent increase in her weight? (To the nearest whole percent)

Answers

The nearest percent increase in 53 to 68 is about 29 percent.

3/√3 how to get final answer?

Is it like this
3=√3*√3

And
√3*√3/√3= √3

Answers

Answer:

[tex] \sf \sqrt{3} [/tex]

Step-by-step explanation:

[tex] \sf = \frac{3}{ \sqrt{3} } [/tex]

[tex] \sf = \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] \sf = \frac{3 \sqrt{3} }{( \sqrt{3} \times \sqrt{3}) } [/tex]

[tex] \sf = \frac{3 \sqrt{3} }{3} [/tex]

[tex] \sf = \frac{ \cancel{3} \sqrt{3} }{ \cancel3} [/tex]

[tex] \sf = \sqrt{3} [/tex]

>> Answer

__________

[tex] \: [/tex]

[tex] \frac{3}{ \sqrt{3} } = ...[/tex]

[tex] = \frac{3}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } [/tex]

[tex] = \frac{3 \sqrt{3} }{( \sqrt{3}) {}^{2} } [/tex]

[tex] = \frac{3 \sqrt{3} }{3} [/tex]

[tex] = \bold {\sqrt{3} }[/tex]

A ball is falling at terminal velocity. Terminal velocity occurs when the ball is in equilibrium and the forces are balanced.
Which free body diagram shows the ball falling at terminal velocity?
F 20 N
F
air
5 N
Cir
F 20 N
9
F. 20 N
F, 20 N
O
F 30 N

Answers

Answer:

b

Step-by-step explanation:

ps Im doing this for poitns

What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form.

Answers

Step-by-step explanation:

A = 1/2 × at

a = 5/3 meter

t = 1/2 meter

A = 1/2 × 5/3 × 1/2

A = (1 × 5 × 1)/(2 × 3 × 2)

A = 5/12 m²

The artist R. Locklen Jones selects 3 paintings from a collection of 6 to display in a row. How many different arrangements of the display are possible

Answers

Using the combination formula, it is found that 20 different arrangements of the display are possible.

The order in which the paintings are displayed is not important, hence, the combination formula is used to solve this question.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 3 paintings are chosen from a set of 6, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

20 different arrangements of the display are possible.

A similar problem is given at https://brainly.com/question/24437717

can someone help me with this lol

Answers

Answer:

desmos (dot com, slash calculator)

Step-by-step explanation:

There's an app called Desmos (you can access it through pc and phone) and it really helps with problems like these. I'm sorry that I can't give an explanation on how to solve inequalities, but I hope this helps.

Find the slope and y-intercept

Answers

Answer:

slope = 35/2

y intercept is 0

Step-by-step explanation:

the y-intercept is 0 because you can see from the graph that it intersect with y-axis at (0,0)

Slope = rise /run

pick a point (8, 140)

rise = 140

run = 8

slope = 140/8 = 70/4 = 35/2

Can anyone help me with this question please ?
I’ll mark as brainliest

Answers

Answer: C

Step-by-step explanation: using Δx/Δy we find that the slope is -59. Since the y intercept is -176 using the plug in -235 = -59(1) + b, C is the only one that can match that answer.

If the price of a yo-yo in a shop increased by 20% and is now $3.60, what was the original price?

Answers

Answer:

$3.00

Step-by-step explanation:

$3.00 x .2 = 0.60. added to original

The original price of the yo-yo in a shop is $3.

What is the percentage?

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

It is given that the price of a yo-yo in a shop increased by 20% and is now $3.60.

The original price will be calculated as let the original price is x dollars. Then from the question, the expression will be formed as below:-

1.20x = 3.60

x = 3.60 / 1.20

Divide 3.60 by 1.20 to get the value of x.

x = $3

It means that the 20 percent is equal to the amount of $0.6.

Therefore, the original price of the yo-yo in a shop is $3.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ5

5x^2+y^3-3y+3y^2=0 then find the dy/dx in terms of x and y

Answers

Answevjvj

vekv  

Step-by-step explanation:

THE PERIMETER OF TRIANGLE DEF IS

Answers

Answer:

18

Step-by-step explanation:

I hope I could help!!

Let me know if you need a picture of my work.

Someone plz help me :(

Answers

Answer:

C)

Step-by-step explanation:

the factors are the terms being multiplied, which are 5 and 'm-1'

I think the Answer is C, sorry If I’m wrong

If c ⊥ b, what is m∠2?
a. 45
b 35
C. 135
D. 145

Answers

D 145 have a nice day in math class

Write an equation for a line parallel to 4x – 2y = 4 that passes through the point (3,22)

Answers

Answer:

y = 2x + 16

Step-by-step explanation:

4x - 2y = 4

-2y = -4x + 4

y = -4/-2x + 4/-2

y = 2x - 2

Slope: 2

Point: (3,22)

y-intercept: 22 - (2)(3) = 22 - 6 = 16

Answer:

y=2x+16 or 2x-y=-16

Step-by-step explanation:

Hi there!

We are given the equation 4x-2y=4, and we want to write an equation for the line parallel to it, that also passes through (3, 22)

First, let's find the slope of the line, as parallel lines have the same slope.

In order to find the slope, we can convert the equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

Start by subtracting 4x from both sides:

-2y=-4x+4

Divide both sides by -2

y=2x-2

2 is in the place where x is, so the slope of the line is 2

It's also the slope of the line parallel to it.

Writing the equation in slope-intercept form, this is the equation so far:

y=2x+b

Now let's find b

Since the equation passes through the point (3,22), we can use it to help solve for b

Substitute 22 as y and 3 as x:

22=2(3)+b

Multiply

22=6+b

Subtract 6 from both sides

16=b

Substitute 16 as b in the equation.

y=2x+16

We can stop right here, but we can also re-convert it into standard form

To do that, subtract 2x from both sides:

-2x+y=16

There's a rule that the coefficient in front of x CANNOT be negative; in order to change the sign, multiply both sides of the equation by -1

2x-y=-16

Hope this helps!

yall if u can please try to answer all i have no clue

Answers

Answer:

u have no question lol??

Answer:

What? you didnt add the picture

Step-by-step explanation:

Please help solve!!!!

Answers

There is no problem to solve. Please share problem.

WHAHHATHWAHTHAWTHAWHTHWTHAWTHHWTHTWTHTA

Answers

Answer: it took 6 hours.

Step-by-step explanation: 6 x 55 is 330, then we add the $35 for service call and we get 365.

can someone please help me with this ASAP?
THANKS SO MUCH

Answers

Answer: 25

Step-by-step explanation:

B=3÷5×100

 =60

D=0.35×100

  =35

so,    B-D=60-35

              25

Carter has 24 posters in his room. If he arranges them into 6 equal rows, how many posters will be in each row?
A. 8
B. 6
C. 4
D. 2

Answers

There would be 4 in a row so C sorry I may be wrong :’)
The answer will be 4 because to make it equal 6 rows will fit with 4 in each



A. The shipping cost is a function of the number of packages

B. The weight of the packages is a function of the number of packages

C. The shipping cost is a function of the weight of the package

D. The weight of the package is a function of the shipping cost

Answers

Answer:

C

Step-by-step explanation:

Y axis is F(x), the function of X axis

So, the shipping cost(Y) is a function of the weight (X)

if you make 16.60 an hour , what will your weekly pay be ,(before taxes) if you work 38 hours per week?​

Answers

Answer:

$630.80

Step-by-step explanation:

$16.60 an hour

16.60 x 38 hours = $630.80

Answer:

116.20

Step-by-step explanation:

PLEASE HELP FAST I NEED THE ANSWER!!!!!
Which answers are examples of deductive reasoning?

Select each correct answer.

1. Jonathan leaves for school at 7:30 a.m. and is on time. Jonathan will always be on time if he leaves at 7:30 a.m.

2. Mary and Sue are friends. Mary enjoys fishing, running, and rock climbing. Sue likes fishing and rock climbing. Sue must also like running.

3. The local grocery store charges $3 for a gallon of milk. Joe is going to the local grocery store to buy milk. Therefore, Joe expects to spend $3 for a gallon of milk.

4. All three angles in an equilateral triangle measure 60°. Triangle ABC is an equilateral triangle. Therefore, all three angles in triangle ABC measure 60°.

Answers

3 and 4 are correct hope that helps <3
Other Questions
HELP HELP WORKING ON TEST AND NEED HELPType the correct answer in the box. Spell all words correctly.Mason wants to include a variety of graphic designs in his digital portfolio. What type of software does Mason need?Mason needs ___processing software. Which experience is most similar to the narrator's experience in the selection? After the Revolutionary War, which branch of government did the states makemore powerful? Thanks to new digital formats, consumers are getting more music and paying less for it. Consumers are enjoying better ways to store, play, and share music. They are not willing to pay as much for it, however. In 2010, total music sales in the United States were $6.3 billion. This was down from $14.3 billion at its peak in 2000. Now, an online sales Web site is preparing to launch a new service. This service allows consumers to share, review, and listen to music. Consumers do not even have to store the songs on personal devices. Other companies are said to be working on similar services.Do It!The Internet has changed how music is _________.Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selectedA establishedB interpretedC purchasedD recorded A girl cuts out rectangular pieces of cardboard for a project. She checks to see that they are rectangular by determining if the diagonals are perpendicular. Will this tell her whether a piece is a rectangle? Explain. Mi hermano Alejandro es bajo, pero mi hermana Alexis es enter answer . What is the difference between manumission and emancipation of the enslaved? Manumission permitted the slave owner to release a slave on his own terms, while emancipation forced slave owners to legally free the enslaved. Manumission is legally freeing the enslaved of slavery, while emancipation is abolishing the institution of slavery. Manumission is abolishing the institution of slavery, while emancipation is allowing a slave to purchase his/her freedom. Emancipation permitted the slave owner to release a slave from slavery on his own terms, while manumission forced slave owners to legally free the enslaved. Express sin I as a fraction in simplest terms. A right triangle has one angle that measures 40. What is the measure of the other acute angle? Larry jumped 16 feet 8 inches on his first try. How manyinches did he jump on his first try? Find a counterexample to show that each conjecture is false1. All vehicles on the highway have exactly four wheels2. All states in the United states share a border with another state3. All plurals end with the letter s4. The difference between two integers is always positive5. All pentagons have exactly five congruent side6. All numbers that are divisible by 3 are also divisible by 67. All whole numbers are greater than their opposites8. All prime numbers are odd integers Tomic calculated incorrectly that they had scored 5012 points. Select the possible reason for his error.1. He multiplied the missed baskets by 212.2. He subtracted 34 from 212 then multiplied by 16.3. He rounded 212 to 3 and 34 to 1 before multiplying.4. He added in the missed baskets as positive values. Which linear equation represents the graph? A) y = 7x + 3B) y = 7x + 10 C) y = 1/7x+3 D) y = 1/7x+10NO LINKS NOR FILES PLEASE OR ELSE ILL REPORT YOUR ANSWER LIKE I DID WITH OTHERS PLEASE PUT A REGULAR ANSWER! PLEASE HELP ASAP !!Who were the Kulaks ? A, Political dissidents who fought Stalin within the Soviet Union B. German agents who spied on Stalin for the Soviet Union. C. Poor farmers who were shipped ff to labor caps by Stalin D. Wealthy peasants blamed by Stalin for causing food shortages in the Soviet Union Task 1bThink about the events listed below. Decide whether each event was more or less democratic. Use the table to explainyour decisionsEventMore DemocraticLess DemocraticEighteenth AmendmentNineteenth AmendmentMuckrakersThe Square DealThe Spoils SystemRelocation of American Indians How did the emergence of the market economy contribute to changes in families and familial organization? Spring Showers is an early example of crusading in the photo art movement. Who is the photographer of this work Which polynomial represents the sum below?(3x2 + 3) + (3x2 + x + 4)9x2 + x + 76x2 + x + 129x2 + x + 126x2+x+7 please please help me ill give brainlist The speed of a motorcycle changed from 5m/s to 20m/s the ratio of initial and final kinetic energy is?