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lisov135 [29]
3 years ago
9

Solve for x: 2x-4/5=x+4

Mathematics
2 answers:
shepuryov [24]3 years ago
3 0

2x-4=5x+20

-3x=24

x=-8

ra1l [238]3 years ago
3 0

Answer:

2x -4/5 = x + 4

2x -4 /5× 5 = 5(x +4)

2x -4 = 5x +20

2x -4+4 = 5x +20+4

2x = 5x +24

2x -5x = 5x-5x+24

-3x = 24

-3x/-3 = 24/-3

x = -8

hope that will help you

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Two boats leave a dock at the same time. One boat travels south at 32 mi divided by hr32 mi/hr and the other travels east at 60
TEA [102]

Answer: the rate at which the distance between the boats is​ increasing is 68 mph

Step-by-step explanation:

The direction of movement of both boats forms a right angle triangle. The distance travelled due south and due east by both boats represents the legs of the triangle. Their distance apart after t hours represents the hypotenuse of the right angle triangle.

Let x represent the length the shorter leg(south) of the right angle triangle.

Let y represent the length the longer leg(east) of the right angle triangle.

Let z represent the hypotenuse.

Applying Pythagoras theorem

Hypotenuse² = opposite side² + adjacent side²

Therefore

z² = x² + y²

To determine the rate at which the distances are changing, we would differentiate with respect to t. It becomes

2zdz/dt = 2xdx/dt + 2ydy/dt- - - -- - -1

One travels south at 32 mi/h and the other travels east at 60 mi/h. It means that

dx/dt = 32

dy/dt = 60

Distance = speed × time

Since t = 0.5 hour, then

x = 32 × 0.5 = 16 miles

y = 60 × 0.5 = 30 miles

z² = 16² + 30² = 256 + 900

z = √1156

z = 34 miles

Substituting these values into equation 1, it becomes

2 × 34 × dz/dt = (2 × 16 × 32) + 2 × 30 × 60

68dz/dt = 1024 + 3600

68dz/dt = 4624

dz/dt = 4624/68

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6 0
3 years ago
Ab - bc+ ac, bc - ca+ ab, ca - ab-2bc
BabaBlast [244]

Answer:

ab-2bc+ca

Step-by-step explanation:

Complete question is given below

Add:-

ab-bc+ac,bc-ca+ab,ca-ab-2bc

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Now, adding all expression

We get

ab-bc+ac+bc-ca+ab+ca-ab-2bc

Combine like terms then, we get

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3 0
3 years ago
The perimeter of each face of a Rubik's cube is 22.2 centimeters.What is the length of an edge of a Rubik's cube? This is dividi
jek_recluse [69]
Divide 22.2 by 4 since the perimeter is the outside and there are 4 edges 
4 0
3 years ago
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The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

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Step-by-step explanation:

Given that,

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Differentiating with respect to x

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P''(x) = -0.008

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Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

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The number of elephant ears that must be sold to maximize profit is 400.

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Answer:

that answers wrong

Step-by-step explanation:

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3 years ago
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