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vodka [1.7K]
2 years ago
7

5 − (x + 5) > −2(x + 4)

Mathematics
2 answers:
Agata [3.3K]2 years ago
8 0
5-(x+5) > -2(x+4)\\\\5-x-5 > -2\cdot x-2\cdot4\\\\5-5-x > -2x-8\\\\-x > -2x-8\ \ \ |add\ 2x\ to\ both\ sides\\\\x > -8\to x\in(-8;\ \infty)
Georgia [21]2 years ago
4 0
X><span>−<span>8 answer  <<

step by step work

</span></span>Let's solve your inequality step-by-step.<span><span>5−<span>(<span>x+5</span>)</span></span>><span>−<span>2<span>(<span>x+4</span>)</span></span></span></span>
Step 1: Simplify both sides of the inequality.<span><span>−x</span>><span><span>−<span>2x</span></span>−8</span></span>
Step 2: Add 2x to both sides.<span><span><span>−x</span>+<span>2x</span></span>><span><span><span>−<span>2x</span></span>−8</span>+<span>2<span>x</span></span></span></span>
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Solve the equation. −2 1/4=r−4/5 will give brainiest for the first correct answer!!!
STatiana [176]

Answer:

r = -1 9/20

Step-by-step explanation:

-2 1/4 = r - 4/5

Switch sides:

r - 4/5 = -2 1/4

Add 4/5 to both sides.

r = -2 1/4 + 4/5

Change the mixed numeral into a fraction:

r = -9/4 + 4/5

The LCD is 20.

r = -45/20 + 16/20

r = -29/20

r = -1 9/20

6 0
3 years ago
Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3​
maria [59]

Answer:

  (x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

  (2/x +1/y) -2(1/x -5/y) = (3) -2(7)

  11/y = -11 . . . . simplify

  y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

  2/x +1/-1 = 3

  2/x = 4 . . . . . . . add 1

  x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

<em>Additional comment</em>

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

6 0
2 years ago
The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis
natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

S=v\cdot t,

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.

8 0
3 years ago
Helppp What’s 35 X 49 ??
Ronch [10]

Answer:

Answer is 1715

Step-by-step explanation:

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Read 2 more answers
The length of a rectangle is 3 more than five times its width. If the perimeter of
AleksandrR [38]

Answer:

Image result for The length of a rectangle is 3 more than five times its width. If the perimeter of the rectangle is 30 meters, find the dimensions of the rectangle.

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

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