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masha68 [24]
3 years ago
8

Find the solution set to this inequality:

Mathematics
2 answers:
loris [4]3 years ago
5 0

Answer:

2x - 3 >  \frac{2x - 5}{2}  \\ 2(2x - 3) > 2x - 5 \\ 4x - 6 > 2x - 5 \\ 4x - 2x > 6 - 5 \\ 2x >1 \\  \boxed{x >  \frac{1}{2} }

<h3><u>c. x>1/2</u> is the right answer.</h3>
Goryan [66]3 years ago
3 0

Answer:

c

Step-by-step explanation:

2x-3 > 2x-5/2

⇒2x-3/1=2x-5/2

⇒(2x-3)×2=(2x-5)×1

4x-6=2x-5

⇒2x-1>0

⇒2x>1

⇒x>1/2

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3 equivalent ratios for 1/10
nataly862011 [7]

Answer:

So just as a fraction of 3/30 can be simplified to 1/10, a ratio of 3:30 (or 4:40, 5:50, 6:60 and so on) can be simplified to 1:10.

Step-by-step explanation:

4 0
3 years ago
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Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the numbe
Mashcka [7]

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

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Answer: 4 pounds of lime and 5 pounds of pears

5 0
3 years ago
A rectangle and a triangle have the same area.
Andrej [43]
<h3>Answer:</h3>

<u>If a rectangle and a triangle have the same area</u>.

Then,

  • <u>L × B = 1/2 × B × H</u>
  • 10 × 3 = 1/2 × 6 × H
  • 30 = 3 × H
  • 30/3 = H
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<u>Hence, the height of triangle is 10cm</u>.

7 0
3 years ago
What are the solutions to f(x) = g(x)?
TiliK225 [7]

Answer:

x = 0 and x = 1

Step-by-step explanation:

From the table of values

f(x) = g(x) = 1 when x = 0 , and

f(x) = g(x) = 0.25 when x = 1

The solution to f(x) = g(x) are x = 0 and x = 1

5 0
3 years ago
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gavmur [86]
Given:
3 red dresses
2 white dresses
1 blue dresses

Probability that she will wear the blue dress at her party.

3 + 2 + 1 = 6 total number of outcomes.

There is only 1 blue dress so the number of ways it can happen is only 1.

probability of an event happening = number of ways it can happen / total number of outcomes

Probability = 1/6 or 0.166 or 16.6%
6 0
3 years ago
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