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3 years ago

When 12 is added to a number the result is 32 less than 3 times a number. What is this number?

Mathematics

2 answers:

neonofarm [45]3 years ago

7 0

X - the number

$x+12=3x-32 \\
x-3x=-32-12 \\
-2x=-44 \\
x=\frac{-44}{-2} \\
x=22$

The number is 22.

seropon [69]3 years ago

4 0

Let the number = x
12 + x = 3x - 32
x = 3x - 44 Subtract 12 from both sides
-2x = -44 Subtract 3x from both sides
<span>x = 22 Divide by -2

SO THE ANSWER IS 22. HOPE THIS HELPS!!!!!!!</span>

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3x/2y=11 x+y/2=7 igualacion<br> Alguien me puede ayudar

bearhunter [10]

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

<h3>¿Cómo resolver un sistema de ecuaciones linear por igualación?</h3>

Los sistemas de ecuaciones basadas en entidades algebraicas se resuelven mediante procedimientos algebraicos. Grosso modo, el método de resolución por igualación consiste en despejar una variable en dos ecuaciones del sistema para eliminarla y reducir el número de ecuaciones <em>lineales</em> y el número de variables.

A continuación, presentamos una aplicación del método de eliminación:

$\frac{3\cdot x}{2\cdot y} = 11$

$x = \frac{22\cdot y}{3}$

$x + \frac{y}{2} = 7$

$x = 7 - \frac{y}{2}$

$\frac{22\cdot y}{3} = 7 - \frac{y}{2}$

$\frac{47\cdot y}{6} = 7$

y = 42/47

$x = 7 - \frac{y}{2}$

x = 308/47

La solución del sistema de ecuaciones es igual a (x, y) = (308/47, 42/47).

Para aprender más sobre los sistemas de ecuaciones: brainly.com/question/15811265

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2 years ago

A map of a town has no scale. You know that the distance between the bus stop and the park is 6 miles. On the map it is 3 inches

slamgirl [31]

As was the case in your previous question, this problem involves setting two ratios equal to each other. We call such an equation a proportion.

16 miles = x miles

(1/2) inch 2 3/4 inches

x = (11/4) * 16 = (11/4) * 2 * 16 = 88 miles

(1/2)

7 0

3 years ago

Read 2 more answers

Your school committee is planning an after school trip by 193 people to a competition at another school. There are 8 drivers ava

Lorico [155]

B = no. of buses
v = no. of vans

b + v less than or equal to 8 ( there are only 8 drivers, but don't have to use them all)

51b + 8v greater than or equal to 193 (the number of seats must be at least 193 but there can be spares)

So these are the inequalities to solve. I did start doing a linear programming graph but the second inequality is horrible so I hope you don't need to actually solve them.

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3 years ago

55. If 3x = 4y, the value of (x + y)^2 : (x - y)^2 is:<br>

ladessa [460]

Answer:

$\large\boxed{(x+y)^2:(x-y)^2=49}$

Step-by-step explanation:

$3x=4y\qquad\text{subtract}\ 3y\ \text{from both sides}\\\\3x-3y=y\qquad\text{distributive}\\\\3(x-y)=y\qquad\text{divide both sides by 3}\\\\x-y=\dfrac{y}{3}\qquad(*)\\------------------\\3x=4y\qquad\text{add}\ 3y\ \text{to both sides}\\\\3x+3y=7y\qquad\text{distributive}\\\\3(x+y)=7y\qquad\text{divide both sides by 3}\\\\x+y=\dfrac{7y}{3}\qquad(**)\\------------------$

$(x+y)^2:(x-y)^2=\dfrac{(x+y)^2}{(x-y)^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x+y}{x-y}\right)^2\qquad\text{substitute}\ (*)\ \text{and}\ (**)\\\\=\left(\dfrac{\frac{7y}{3}}{\frac{y}{3}}\right)^2=\left(\dfrac{7y}{3}\cdot\dfrac{3}{y}\right)^2\qquad\text{cancel}\ 3\ \text{and}\ y\\\\=(7)^2=49$

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3 years ago

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Bezzdna [24]

Happy new year have a good day

4 0

3 years ago