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ser-zykov [4K]
3 years ago
8

What is x? -3(2x-7)+5=2x-9

Mathematics
2 answers:
vitfil [10]3 years ago
4 0

Answer:

x=4.375

Step-by-step explanation:

-3(2x-7)+5=2x-9

-6x+21+5=2x-9

-6x+26=2x-9

-6x-2x+26=2x-2x-9

-8x+26=-9

-8x+26-26=-9-26

-8x=-35

-8x/-8=-35/-8

x=4.375

True [87]3 years ago
3 0

Answer: 35/8     or     4\frac{3}{8}

<u>Simplify each term</u>

<u></u>-3(2x)-3-7+5=2x-9<u></u>

<u></u>-6x-3-7+5=2x-9<u></u>

<u></u>-6x+21+5=2x-9<u></u>

<u></u>-6x+26=2x-9<u></u>

<u></u>

<u>Move all terms containing x to the left side of the equation</u>

<u></u>-6x+26-2x=-9<u></u>

<u></u>-8x+26=-9<u></u>

<u></u>

<u>Move all terms not containing x to the right side of the equation.</u>

<u></u>-8x=-9-26<u></u>

<u></u>-8x=-35<u></u>

<u></u>

<u>Divide each term by − 8 and simplify.</u>

<u></u>-8x/-8=-35/-8<u></u>

<u></u>

<u>Note</u>

Dividing 2 negative will give you a positive answer.

x=35/8

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Tower one, a cube with a hexagonal prism measures 15.6cm. Tower two, a cube with a cylinder measures 18.3cm. Tower 3, a hexagona
lina2011 [118]

Answer:

Tower 4 = 23.9cm

Step-by-step explanation:

Given

Tower one = 15.6 cm

Tower two = 18.3 cm

Tower 3 = 13.9 cm.

Required:

Height of the 4th tower

Represent a cube by X; a cylinder by Y and a hexagonal prism by Z

Tower one, a cube with a hexagonal prism = X + Z = 15.6

Tower two, a cube with a cylinder = X + Y = 18.3

Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9

X + Z = 15.6 ----- Equation 1

X + Y = 18.3 ----- Equation 2

Z + Y = 13.9 ----- Equation 3

Subtract equation 1 from 2

(X + Y = 18.3) - (X + Z = 15.6)

X - X + Y - Z = 18.3 -15.6

Y - Z = 18.3 -15.6

Y - Z = 2.7 ---- Equation 4

Add Equation 4 to Equation 3

(Y - Z = 2.7) + (Z + Y = 13.9)

Y + Y - Z + Z = 2.7+ 13.9

2Y  = 2.7+ 13.9

2Y  = 16.6

Divide both sides by 2

\frac{2Y}{2}  = \frac{16.6}{2}

Y  = \frac{16.6}{2}

Y  = 8.3cm

Substitute Y  = 8.3cm in Equation 2 and 3

X + Y = 18.3 ----- Equation 2

X + 8.3 = 18.3

Subtract 8.3 from both sides

X + 8.3 - 8.3 = 18.3 - 8.3

X = 18.3 - 8.3

X = 10cm

Z + Y = 13.9 ----- Equation 3

Z + 8.3 = 13.9

Subtract 8.3 from both sides

Z + 8.3 - 8.3 = 13.9 - 8.3

Z = 13.9 - 8.3

Z = 5.6cm

So, we have that

X = 10cm

Y  = 8.3cm

Z = 5.6cm

The question states that the 4th tower is made up of the three shapes;

This implies that;

Tower 4 = X + Y + Z

Tower 4 = 10cm + 8.3cm + 5.6cm

Tower 4 = 23.9cm

The height of the 4th tower is 23.9cm

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sergey [27]

Answer:

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Please help, I I beg you please
Tatiana [17]

Answer:

<em>The volume of the cube is </em> \mathit{\frac{27}{z^3x^{9}}} <em>cu in.</em>

Step-by-step explanation:

<u>The Volume of a Cube</u>

Let's have a cube of side length a. The volume of the cube is:

V=a^3

The cube of the image has a side length of

\displaystyle a=\frac{3x^{-3}}{z}\ inches

Simplifying the expression of the base by converting the negative exponent in the numerator to the denominator:

\displaystyle a=\frac{3}{zx^{3}}\ inches

Now find the volume:

\displaystyle V=\left(\frac{3}{zx^{3}}\ inches\right)^3

Applying the exponents:

\displaystyle V=\frac{3^3}{z^3x^{9}}\ inches^3

\displaystyle V=\frac{27}{z^3x^{9}}\ inches^3

The volume of the cube is \mathbf{\frac{27}{z^3x^{9}}} cu in.

8 0
3 years ago
1. Identify your variables using let statements.
Advocard [28]

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

<h3>How to find the number of each type of dish.</h3>

Let

  • x = number of chicken dish and
  • y = number of lobster dish
<h3>How to determine the equations for the linear system</h3>

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

<h3>How to determine the solution for the linear system</h3>

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Learn more about equation of linear system here:

brainly.com/question/13729904

#SPJ1

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2 years ago
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