6m - 2(7 + 3m) > 5(2m-3) - m

1 answer:

7 0

$6m-2(7+3m) > 5(2m-3)-m\ \ \ |\text{use distributive property}\\\\6m+(-2)(7)+(-2)(3m) > (5)(2m)+(5)(-3)-m\\\\6m-14-6m > 10m-15-m\ \ \ \ |\text{use commutative property}\\\\6m-6m-14 > 10m-m-15\\\\-14 > 9m-15\ \ \ \ |\text{add 15 to both sides}\\\\1 > 9m\ \ \ \ |\text{divide both sides by 9}\\\\\dfrac{1}{9} > m\to m < \dfrac{1}{9}\to\boxed{B.\ \left\{m|m < \dfrac{1}{9}\right\}}$

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9x-y=5 7x-6y=5 Solve the system by the substitution method

qwelly [4]

9x - y = 5
7x - 6y = 5

Solve both equations for one variable. I'll solve for y.

9x - y = 5 Subtract 9x from both sides
-y = -9x + 5 Divide both sides by -1
y = 9x - 5

7x - 6y = 5 Subtract 7x from both sides
-6y = -7x + 5 Divide both sides by -6
y = $\frac{7}{6}$ x - $\frac{5}{6}$

Since both equations equal y, you can set them equal to each other and solve for x.

9x - 5 = $\frac{7}{6}$ x - $\frac{5}{6}$ Multiply both sides by 6 to eliminate the fractions
54x - 30 = 7x - 5 Subtract 7x from both sides
47x - 30 = -5 Add 30 to both sides
47x = 25 Divide both sides by 47
x = $\frac{25}{47}$

Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.

9x - y = 5 Plug in the x-value
9( $\frac{25}{47}$ ) - y = 5 Multiply
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-y = 0.21276595744 (I had to convert it to a decimal) Divide both sides by -1
y = -0.21276595744

So, the answer to the system is (0.53191489361, -0.21276595744)

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4 years ago

Please help me with number 3. 100 points plus Brainly five stars ⭐️ and a thanks

Elis [28]

Answer:

10 and 7

Step-by-step explanation:

First you can list out numbers 1-10 and find thngs that equal 3 when subtracted. Then after you do that see if when you multiply y x 3 subtracted from x if it equals -11.

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2 years ago

Rearrange the formula S = a (a - r) for r.

koban [17]

I'm assuming you're trying to solve for r.
First divide a to both sides
Now you have $\frac{S}{a}$ = a - r
Subtract a to both sides.
And then divide by -1 to both sides.
Now your equation is - $\frac{S}{a}$ + a = r

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4 years ago

Read 2 more answers

What is the sum of (7-b)+(3b+2)

nadezda [96]

(7 - b) + (3b + 2)

Open the parentheses (this is a simple addition question so there's no need to do anything)

7 - b + 3b + 2

Rearrange (not necessary but makes it easier)
3b - b + 7 + 2
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-T.B.

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3 years ago

8. For many computer tablets, the owner can set a 4-digit pass code to lock the device.

Anton [14]

Answer:

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b. The probability that the pass code is 1234 is ≈ 0.0002

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