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barxatty [35]
3 years ago
9

4x-(-7x+4.3)-1.6=x does anyone know the answer to this

Mathematics
2 answers:
ipn [44]3 years ago
5 0

Step-by-step explanation:

4x-(-7x+4.3)-1.6=x

4x+7x-4.3-1.6=x

11x-x=5.9

x=5.9/10=0.59 is your answer

Bogdan [553]3 years ago
5 0

Answer:

x =0.59

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x−(−7x+4.3)−1.6=x

4x+7x+−4.3+−1.6=x

(4x+7x)+(−4.3+−1.6)=x(Combine Like Terms)

11x+−5.9=x

11x−5.9=x

Step 2: Subtract x from both sides.

11x−5.9−x=x−x

10x−5.9=0

Step 3: Add 5.9 to both sides.

10x−5.9+5.9=0+5.9

10x=5.9

Step 4: Divide both sides by 10.

10x/10 = 5.9/10

x =0.59

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The length of a rectangle is 4 meters less than twice its width. The are of a rectangle is 70m^2. Find the dimensions of the rec
igomit [66]

Answer:

The length is 7 m

The width is 10 m

Step-by-step explanation:

length = x

width = 2x - 4

length * width = area

It is given that the area is 70 m^{2}

From there

x * (2x - 4) = 70

2x^{2} - 4x = 70

2x^{2} - 4x - 70 = 0

x^{2} - 2x - 35 = 0

Now we have a quadratic equation, which is  ax^{2} + bx + c = 0, where a \neq 0

In this equation a = 1, b = -2 and c = -35

Discriminant (D) formula is b² - 4ac

D = -2^{2}  - 4 * 1 * (-35) = 144 > 0

This discriminant is more than 0, so there are two possible x

Their formulas are  \frac{- b - \sqrt{D}  }{2a} and \frac{- b + \sqrt{D}  }{2a}

x_{1} =  \frac{- (-2) - \sqrt{144} }{2} = -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)

x_{2} = \frac{- (-2) + \sqrt{144} }{2} = 7 > 0 (this one is right)

Calculating the dimensions

length = x = 7 (m)

width = 2x - 4 = 2 * 7 - 4 = 10 (m)

8 0
3 years ago
Determine two coterminal angles in degree measure (one positive and one negative) for each angle. (There are many correct answer
Nat2105 [25]

Answer:

(a) Coterminal =495, -225

(b) Coterminal = 135,-585

Step-by-step explanation:

The angles are:

(a) 135°  (b) −225°

The coterminal angle of angle x is derived by:

Coterminal = x \± 360

Solving (a): 135°

Substitute 135 for x in Coterminal = x \± 360

Coterminal =135 \± 360

Split

Coterminal =135 + 360, 135 - 360

Coterminal =495, -225

Solving (b): -225°

Substitute -225 for x in Coterminal = x \± 360

Coterminal =-225 \± 360

Split

Coterminal = -225 + 360,-225 - 360

Coterminal = 135,-585

7 0
3 years ago
Three persons had dinner in a restaurant. The total bill came to $51.60.
SVETLANKA909090 [29]

Answer:

Each person tipped $4.30.

Step-by-step explanation:

We know that the total bill was $51.60. The three people paid a 25% tip, which was split evenly among them.

Since the tip is 25%, it will be 25% of the total. Hence:

0.25(51.6) = \$ 12.9

The total tip is $12.9.

And since it was evenly split among three people, each person tipped:

\displaystyle \frac{12.9}{3}=\$ 4.30

Each person tipped $4.30.

6 0
3 years ago
Given: 3x &lt; 3.
mamaluj [8]
<span>Divide by 3 and get x<1, so the answer is {x | x < 1}

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
4 0
3 years ago
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Plz someone help me with this problem for math
Rufina [12.5K]
53. It is a vertical angle with the angles on top. Think: a X formation.
7 0
3 years ago
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