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Oksana_A [137]
3 years ago
7

5x - 7 = 2x + 11 x = ?

Mathematics
2 answers:
anyanavicka [17]3 years ago
5 0

Answer:

x=6

Step-by-step explanation:

Solve 5x−7=2x+11.

Subtract 2x from both sides.

5x−7−2x=2x+11−2x

3x−7=11

Add 7 to both sides.

3x−7+7=11+7

3x=18

Divide both sides by 3.

\frac{3x}{3} =\frac{18}{3}

x=6

Answer:

x=6

LenaWriter [7]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-7 + 5x + -2x = 11 + 2x + -2x

Combine like terms: 5x + -2x = 3x

-7 + 3x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0

-7 + 3x = 11 + 0

-7 + 3x = 11

Add '7' to each side of the equation.

-7 + 7 + 3x = 11 + 7

Combine like terms: -7 + 7 = 0

0 + 3x = 11 + 7

3x = 11 + 7

Combine like terms: 11 + 7 = 18

3x = 18

Divide each side by '3'.

x = 6

Simplifying

x = 6

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3 years ago
1. Two people have $10 to divide between themselves. Each person names a number (nonnegative integer) no more than 10. If the su
Nitella [24]

Answer:

Step-by-step explanation:

Determine the best response of each player to each of the other player’s actions; plot them in a diagram and thus find the Nash equilibria of the game.

The best response for player 2 can be stated as:

(where X1 equals the dollar that a person names and Y2(X1) being the amount the person receives)

X1 Y2(X1)

0 10

1 9,10

2 8,9,10

3 7,8,9,10

4 6,7,8,9,10

5 5,6,7,8,9,10

6 5,6

7 6

8 7

9 8

10 9

Th best responses for player 1 would be the same.

Nash equilibria is the set of strategies that every person forms given no person has any incentive to change. Hence, we can say that there are 4 Nash equilibria: (5,5) , (5,6) , (6,5) , (6,6)

8 0
3 years ago
Please help i am stuck and trying not to fail lol. also if you can show work pls
wel

Given:

The figure of rectangle.

To find:

a. The diagonal of the rectangle.

b. The area of the rectangle.

c. perimeter of the rectangle.

Solution:

(a)

In a right angle triangle,

\sin \theta=\dfrac{Perpendicular}{Hypotenuse}

\sin 30=\dfrac{12}{Hypotenuse}

\dfrac{1}{2}=\dfrac{12}{Hypotenuse}

Hypotenuse=12\times 2

Hypotenuse=24

So, the diagonal of the of the rectangle is 24 units.

(b)

In a right angle triangle,

\tan \theta=\dfrac{Perpendicular}{Base}

\tan 30=\dfrac{12}{Base}

\dfrac{1}{\sqrt{3}}=\dfrac{12}{Base}

Base=12\sqrt{3}

Length of the rectangle is 12 and width of the rectangle is 12\sqrt{3}. So, the area of the rectangle is:

Area=length \times width

Area=12 \times 12\sqrt{3}

Area=144\sqrt{3}

So, the area of the rectangle is 144\sqrt{3} sq. units.

(c)

Perimeter of the rectangle is:

P=2(length+width)

P=2(12+12\sqrt{3})

P=24+24\sqrt{3}

P\approx 65.57

Therefore, the perimeter of the rectangle is about 65.57 units.

4 0
3 years ago
1 2 3 4 5 6 7 8 9 10
Doss [256]

Answer:

12!!!!!!!!!!!!!!!!!!!!!!!

4 0
3 years ago
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