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muminat
4 years ago
13

How to solve the inequality

Mathematics
1 answer:
beks73 [17]4 years ago
4 0

Answer:

x\geq 19/6

Step-by-step explanation:

1. Multiply both sides by 6 (the LCM of 6,3)

5/2 + 3-x <= 2(x-2)

2. Simplify 5/2+3-x to 11/2-x

11/2 - x<=2 (x-2)

3. Expand.

11/2-x<= 2x-4

4. Add x to both sides.

11/2<= 2x-4+x

5. Simplify 2x-4+x to 3x-4.

11/2<=3x-4

6. Add 4 to both sides.

11/2+4<=3x

7. Simplify 11/2+4 to 19/2

19/2<=3x

8. Divide both sides by 3

19/2 /3 <=x

9. Simplify 19/2 /3 to 19/2*3

19/2*3<=x

10. Simplify 2*3 to 6

19/6<=x

11. Switch sides.

x>= 19/6

Hope this helps!

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..........................
QveST [7]

Answer:

x = 0.954

Step-by-step explanation:

We apply pythagorean to find x

(4-x)² = 1.2² + 2.8²

(4-x)² = 9.28

✓(4-x)² = ✓(9.28)²

4 - x = 3.046

- x = 3.046 - 4

- x = -0.954

x = 0.954

(Please heart and rate if you find it helpful, it's a motivation for me to help more people)

7 0
3 years ago
If p=m and n=16 in the equation m/45 = n/p, what is the value of m?
Andrej [43]
M=p=x
x/45=16/x
x^2=720
x=sqrt(720)
sqrt mean root
m= sqrt(720)
6 0
3 years ago
Sean read 15 of a book in 112 hours.
makvit [3.9K]
Sean read 15 of a book in = 112 hours, 
so, 1 of a book in = 112/15

Now, 12 of a book would be: 112/15 * 12 = 112/5 * 4 = 89.6

89.6 = 89 6/10 = 89 3/5

In short, Your Answer would be 89 3/5 hours

Hope this helps!
8 0
4 years ago
Given g(x) =2x+4, solve for x when g (x) = -8
Temka [501]

Answer:

Step-by-step explanation:

X=-6

7 0
3 years ago
Read 2 more answers
Students in Miss Moseley's fourth grade class are learning multiplication, and they demonstrate mastery by passing assessments.
blagie [28]
<span><u><em>Answer:</em></u>
Each will have passed 17 tests and it will take 3 weeks.

<u><em>Explanation: </em></u>
Let x be the number of weeks.
The number of tests <u>Travis</u> passes to begin with is 11.
We then add 2 tests per week, or 2x to that, giving us:
11+2x.

The number of tests <u>Jenifer</u> has passed to begin with is 2.
We then add 5 tests per week, or 5x to that, giving us:
2+5x.

<u>Setting these equal, we have: </u>
11+2x=2+5x.

<u>Subtract 2x from each side: </u>
11+2x-2x=2+5x-2x;
11=2+3x.

<u>Subtract 2 from each side: </u>
11-2=2+3x-2;
9=3x.

<u>Divide both sides by 3:</u>
</span>\frac{9}{3} =  \frac{3x}{3}<span>;
3=x.

It will take <u>3 weeks</u>.
In 3 weeks,
Travis will have passed:
11+2*3 = 11+6 = 17 tests.
Jenifer will have passed the same number, since she catches up with him at this point.</span>
6 0
3 years ago
Read 2 more answers
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