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Bad White [126]
4 years ago
13

What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?

Mathematics
2 answers:
Lena [83]4 years ago
6 0
4(x - 3) + 4 < 10 + 6x 
4x - 12 + 4 < 10 + 6x
4x - 8 < 10 + 6x
-2x < 18
x > 9

Answer: x > 9 
frez [133]4 years ago
3 0
Hello!

You can solve this algebraically

4(x - 3) + 4 < 10 + 6x

Distribute the 4

4x - 12 + 4 < 10 + 6x

Combine like terms

4x - 8 < 10 + 6x

Subtract 4x from both sides

-8 < 10 + 2x

Subtract 10 from both sides

-18 < 2x

Divide both sides by 2

-9 < x

The answer is x > -9

Hope this helps!
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Wendy keeps her hamster, Fluffy, in a cage shaped like a rectangular prism that is 20 inches long, 14 inches wide, and has a vol
Alex17521 [72]

Speedy cage is 2 inches taller than fluffy cage.

<h3>How to find the volume of a rectangular prism?</h3>

The volume of rectangular prism = lwh

where

  • l =length
  • h = height
  • w = weight

Therefore,

height of fluffy cage can be calculate as follows:

4340 = 20 × 14 × h

4340 = 280h

h = 4340 / 280

h = 15.5 inches

height of Kenneth cage can be calculate as follows:

5250 = 20 × 15 × h

5250 = 300h

h = 5250 / 300

h = 17.5 inches

height difference = 17.5  - 15.5 = 2.0 inches

Hence, speedy cage is 2 inches taller than fluffy cage.

learn more on volume here: brainly.com/question/23997886

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5 0
2 years ago
If h(x) = 6 - X, what is the value of (nºn)(10)?
attashe74 [19]

Answer:

(h°h)(10) = 10

Step-by-step explanation:

(h°h) = 6-(6-x) = x

h(10) = x

x = 10

4 0
4 years ago
What is the value of y when x = 6?<br><br> -3x + 9y = 18
solniwko [45]

y equals negative 3 so the answer is -3

5 0
3 years ago
Three tickets to attend an Off-Broadway show cost $81, 4 tickets cost $108, and 5 tickets cost $135. Show that the relationship
Mnenie [13.5K]

Answer:

  • k=27
  • y=27x

Step-by-step explanation:

3 tickets to attend an Off-Broadway show cost $81,

4 tickets cost $108; and

5 tickets cost $135.

Let the price of a ticket=k

Therefore:

  • 3k=81
  • 4k=108
  • 5k=135

Solving any of the equation above gives: x=27

We therefore have:

\left|\begin{array}{c|c|c|c|c|c}$Tickets&1&2&3&4&5\\$Total Cost(\$)&27&54&81&108&135\end{array}\right|

Let y be the total cost of x tickets

  • From the above, the constant of proportionality, k=27

An equation for the relationship is therefore:

y=27x (where x is the number of tickets and y is the total costs (in $)).

5 0
3 years ago
$#4 find the value of x. Round answer to nearest tenth please
Sonja [21]

Answer:

12.9

Step-by-step explanation:

sin 59 = opposite/hypotenuse

opposite is x, the dimension facing the angle 59

hypotenuse is the longest side = 15

sin 59 = x/15

x = 15sin59 = 15 x 0.8572 =12.858 = 12.9 in the nearest tenth

3 0
3 years ago
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