1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Irina18 [472]
4 years ago
8

What is the reason for each step in the solution of the inequality? 4(x+6)>−5(x+5)−14 Select the reason for each step from th

e drop-down menus.
​ 4(x+6)>−5(x+5)−14 ​ ​Given
​​ ​ 4x+24>−5x−25−14 choose ​
​ 4x+24>−5x−39 ​ choose
​​ ​ 4x+63>−5x Addition Property of Order
​ 63>−9x ​ Subtraction Property of Order
​​​​ −7<x      choose
Mathematics
2 answers:
Nesterboy [21]4 years ago
8 0

Hey there!!

The equation given :

4 ( x + 6 ) > -5 ( x + 5 ) - 14

... 4x + 24 > -5x - 25 - 14

... 4x + 24 > - 5x - 39

Add 39 on both sides

... 4x + 63 > - 5x

Subtract 4x on both sides

... 63 > - 9x

Divide by -9 on both sides

When we divide both sides by a negative number, we switch the signs.

... -7 < x

Hope my answer helps!!

Serhud [2]4 years ago
4 0

4(x + 6) > −5(x + 5) − 14 ​ ​Given

(4)(x) + (4)(6) > (-5)(x) + (-5)(5) - 14

​​4x + 24 > −5x − 25 − 14 Distributive property ​

4x + 24 > -5x - (25 + 14)

4x + 24 > −5x − 39 ​ Simplify right side

4x + 24 + 39 > -5x -39 + 39

4x + 63 > −5x  Addition property of equality

4x - 4x + 63 > -5x - 4x

​ 63 > −9x ​ Subtraction property of equality

63 : (-9) < -9x : (-9)    /-9 < 0 → switch the signs/

−7 < x      Division property of equality

You might be interested in
Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.
Bogdan [553]
Put it in slope form: y=mx+b
8y= 4x-16
Divide by 8
Y = 1/2x -2
1/2 is x intercept and -2 is y intercept
8 0
3 years ago
A TV is priced at $475.25. There is a 7% sales tax rate. What is the sales tax for the TV in dollars and cents?
Naddik [55]

Answer:

$33.27

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
7 + 8p - 27<br> terms ?<br> coefficients ?
gayaneshka [121]

Answer:

Terms: 7, 8p, -27

Coefficients: 8

Step-by-step explanation:

1. A term is a constant, a variable, or a product of a constant and variable. Therefore, 7, 8p, and -27 are terms.

2. A coefficient is a number that is in front of a variable like 8 in front of p.

4 0
4 years ago
An item is priced at $14.61. If the sales tax is 8%, what does the item cost including sales tax?
liubo4ka [24]

Answer:

(1.08)($14.61) = $15.78

4 0
3 years ago
PLEASE! ANSWER THIS! HELP! PLEASE!!!!!!!!!!!!!! <br><br>c. Expand: (tan(theta) - 1)^3​
jonny [76]

Answer:

(tan(theta)-1)^3

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

= (tan^2(theta)-2tan(theta)+1)(tan(theta)-1)

= tan^3(theta)-2tan^2(theta)+tan(theta)-tan^2(theta)+2tan(theta)-1

= tan^3(theta)-3tan^2(theta)+3tan(theta)-1

Hope this helps :)

6 0
3 years ago
Other questions:
  • The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube?
    6·2 answers
  • 1/2 times a for a = 3/10
    13·2 answers
  • Which of the interpretations for the given expression is correct? the sum of the square of x + 4 and 3 the difference of the squ
    8·1 answer
  • What is the value of the base in the power (-125)-3?<br>a -125<br> b -3<br>c 1/125<br>d 375
    10·1 answer
  • You have decided to start your own business selling friendship bracelets. It will
    9·2 answers
  • Stacy and Travis are rock climbing. Stacy's rope is 4 feet shorter than 3 times the length of Travis' rope. Stacy's rope is 23 f
    14·1 answer
  • PLS HELP!
    8·1 answer
  • A traffic helicopter descends 154 meters to be 313 meters above the ground. What was the original height of the​ helicopter? Let
    9·2 answers
  • A boat traveled 150 miles downstream (with the current) and back (against the current). The trip downstream took 10 hours. The t
    6·1 answer
  • At the organic produce store you can buy 3 bags of sweet potatoes for $20.07.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!