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nata0808 [166]
4 years ago
12

17. Solve the equation. Show your work. 3x – 10 = 5x + 32

Mathematics
2 answers:
Ugo [173]4 years ago
5 0

Answer:

<h2>x = -21</h2>

Step-by-step explanation:

3x-10=5x+32\qquad\text{add 10 to both sides}\\\\3x-10+10=5x+32+10\\\\3x=5x+42\qquad\text{subtract 5x from both sides}\\\\3x-5x=5x-5x+42\\\\-2x=42\qquad\text{divide both sides by (-2)}\\\\\dfrac{-2x}{-2}=\dfrac{42}{-2}\\\\\boxed{x=-21}

ELEN [110]4 years ago
4 0

3x - 10 = 5x + 32

3x - 10 + (-5x + 10) = 5x + 32 + (-5x + 10)

-2x = 42

-0.5(-2x) = -0.5(42)

x = -21

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3 years ago
Solve 169x^2-42.25=0 by using square roots?<br><br> NEED HELP!!!
jekas [21]

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

5 0
3 years ago
Sabiendo que lo ancho de un terreno rectangular mide 24.7 m y que su perímetro es de 131.8 m. ¿Cuánto mide cada uno de sus lados
nadya68 [22]

Answer:

El perímetro de un terreno rectangular mide 48 m . Calcula sus dimensiones si el largo es el doble que el ancho.

Respuesta:

De largo mide 16m

De ancho mide 8m

Explicación paso a paso:

Perímetro = número de lados multiplicado por longitud del lado.

Formula: P = 2(a + b)  o    P = 2b + 2h

Donde: P = Rectángulo del perímetro

           a y b = Longitudes de lados

Asignamos las variables:

Largo = 2x

Ancho = x

Utilizamos la formula:

2(x) + 2(2x) = 48

2x + 4x = 48

6x = 48

x = 48/6

x = 8m  (ancho)

2x

2(8)

16m (largo)

Step-by-step explanation:

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3 years ago
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4 years ago
(Z-6) divided by 3 for z= 15.9
scoray [572]
Simply plug in \sf{z=15.9} into \sf{\frac{z-6}{3}}

So:

\sf{\frac{15.9-6}{3}}

Simplify that more:

\sf{\frac{9.9}{3}}

And that finally becomes 

\sf{3.3}

So when \sf{z=15.9} the answer will be \boxed{\sf{3.3}}
4 0
4 years ago
Read 2 more answers
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