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sasho [114]
3 years ago
10

24<8+4x what equals x?

Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

x > 4

Step-by-step explanation:

Flip the equation.

24<8+4x

4x+8>24

Subtract 8 from both sides.

4x+8-8>24-8

4x>16

Divide both sides by 4.

4x/4>16/4

x > 4

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The graph below shows the solution to which system of inequalities?
Archy [21]

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

y \geqslant 2

The slanted line, y=x is dashed and shaded below, so it represents y<x.

3 0
2 years ago
Use the diagram below: H is the circumcenter of triangle BCD, BC = 18 and HD = 14. Find EH.
just olya [345]

Answer:

  • 10.72

Step-by-step explanation:

<h3>Given</h3>
  • H is the circumcenter of triangle BCD,
  • BC = 18
  • HD = 14
<h3>To find </h3>
  • Length of EH
<h3>Solution</h3>
  • Triangle BHD is isosceles, therefore BH = HD
  • Point E is midpoint of BC, therefore BE = 1/2BC

<u>Using Pythagorean, finding the value of EH:</u>

  • EH = √(BH² - BE²) = √(14² - (18/2)²) = √(196 - 81) = √115 = 10.72
7 0
3 years ago
Read 2 more answers
7 pt 1 c + 4 pt 1 c
kaheart [24]

ANSWERS

1. B

2. B

3. A

4. C
5. B

6. A

 

WORKINGS

 

QUESTION 1

7 pt 1c + 4pt 1c (pt for Pints; c for Cups)
= 7pt + 1c + 4pt + 1c

 

Collecting like terms

= 7pt + 4pt + 1c + 1c

= 11pt + 2c

 

1pt = 2c

Therefore,

11pt 2c = 11pt + 1pt

= 12 pt (OPTION B)

 


QUESTION 2

7c 3fl oz – 3c 4fl oz (c for Cups; oz for Ounce)
= 7c + 3fl oz – (3c + 4fl oz)

= 7c + 3fl oz – 3c – 4fl oz

 

Collecting like terms

= 7c – 3c + 3fl oz – 4fl oz

= 4c – 1fl oz

 

1c = 8fl oz

Therefore, 4c can be rewritten as 3c + 8fl oz

 4c – 1fl oz = 3c + 8fl oz – 1fl oz

= 3c + 7fl oz

= 3c 7fl oz (Option B)

 

 

QUESTION 3

4lb 4oz – 2lb 7oz (lb for Pounds; oz for Ounce)

= 4lb + 4oz – (2lb + 7oz)

= 4lb + 4oz – 2lb – 7oz

 

Collecting like terms

= 4lb – 2lb + 4oz – 7oz

= 2lb – 3oz

 

1lb = 16oz

Therefore, 2lb can be rewritten as 1lb + 16oz

2lb – 3oz = 1lb + 16oz – 3oz

= 1lb + 13oz

= 1lb 13oz (Option A)





QUESTION 4

7T 200lb – 2T 700lb (T for Tons; lb for Pounds)

= 7T + 200lb – (2T + 700lb)

= 7T + 200lb – 2T – 700lb

 

Collecting like terms

= 7T – 2T + 200lb – 700lb

= 5T – 500lb

1T = 2,000lb

Therefore, 5T can be rewritten as 4T + 2,000lb

5T – 500lb = 4T + 2,000lb – 500lb]

= 4T + 1,500lb

= 4T 1,500lb (Option C)

 

 

QUESTION 5

7 d 12 h – 5 d 18 h (d for Days; h for Hours)
= 7d + 12h – (5d + 18h)

= 7d + 12h – 5d – 18h

 

Collecting like terms

= 7d – 5d + 12h – 18h

= 2d – 6h

 

1d = 24h

Therefore, 2d can be rewritten as 1d + 24h

2d – 6h = 1d + 24h – 6h

= 1d + 18h

= 1d 18h (Option B)

 

QUESTION 6
3 h 42 min – 1 h 12 min (h for Hours; min for Minutes)

= 3h + 42min – (1h + 12min)

= 3h + 42min – 1h – 12min

 

Collecting like terms

3h – 1h + 42min – 12min
= 2h + 30min

= 2h 30min (Option A) 

6 0
4 years ago
In Exercise,discuss the continuity of the function.<br> f(x) = 3x^2 +2x+1/x^2+1
sdas [7]

Answer:

The function f(x) = 3x^2 +2x+1/x^2+1 is continuous.

Step-by-step explanation:

The function is continuous since the denominator x^2+1 has no real roots.

This also means that the function f(x) = 3x^2 +2x+1/x^2+1 has no vertical asymptotes.

The Graph of the function is attached. There is one<em> horizontal</em> asymptote can also be identified at y=3.

5 0
3 years ago
What does 2 (x+6) + 3x + 4 =
Elena L [17]

Answer:

5x +16

Step-by-step explanation:

2 (x+6) + 3x + 4

Distribute the 2

2x+12 +3x +4

Combine like terms

2x+3x   +12 +4

5x +16

7 0
4 years ago
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