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4 years ago

The thirds of a number plus 5 is greater than 12

Mathematics

1 answer:

notsponge [240]4 years ago

3 0

Answer:

Step-by-step explanation:

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Solve the linear system of equations using the linear combination method.<br> 4x-9y=20<br> 2x-6y=16

maxonik [38]

The solution is (-4,4)

Step-by-step explanation:

Given equations are:

$4x-9y = 20\ \ \ \ Eqn1\\2x-6x = 16\ \ \ \ Eqn2$

In linear combination method, we have to make coefficients of any one variable opposites by multiplying with an integer

So multiplying 2nd equation by -2

$-2(2x-6y=16)\\-4x+6y=-32\ \ \ \ Eqn3$

Adding Equation 1 and Equation 3:

$4x-9y-4x+12y = 20-32\\3y = -12$

Dividing both sides by 3

$\frac{3y}{3} = \frac{-12}{3}\\y = -4$

Putting y=-4 in equation 1

$4x-9(-4) = 20\\4x +36= 20\\4x = 20-36\\4x = -16$

Dividing both sides by 4

$\frac{4x}{4} = \frac{-16}{4}\\x = -4$

Hence,

The solution is (-4,4)

Keywords: Linear combination, linear equations

Learn more about linear combination method at:

#LearnwithBrainly

3 0

4 years ago

Which is the slope of the line that connects points (3,17) and (7,25) ?

vampirchik [111]

The slope of a line can be found with any two points on the line:

slope=(y2-y1)/(x2-x1) where (x1,y1) and (x2,y2) are any two points...

slope=(25-17)/(7-3)

slope=8/4

slope=2

4 0

3 years ago

Read 2 more answers

The Ecology Club is electing officers for the new school year. The club will elect a president, vice-president, secretary and tr

Studentka2010 [4]

Answer:

Step-by-step explanation:

In how many ways can the club select its new officers

Need to fill 4 positions

24P4 = 24!/(24-4)! = 24!/20! = 21*22*23*24 = 255,024

8 0

4 years ago

Hallar el menor número no divisible por 4, 6, 9, 11 y 12, tal que al dividirlo por estos números se obtengan restos iguales.

Aloiza [94]

Answer:

397

Step-by-step explanation:

Sea 'p (x)' el número que no es divisible por 4, 6, 9, 11 y 12 de manera que cuando se divide por estos números da un resto igual, tenemos;

Por teorema del resto, tenemos;

p (x) = (x - a) · Q (x) + R

Dónde;

p (x) = El número, que se divide

Q (x) = El cociente

(x - a) = El divisor

R = El resto

Dado que el número más pequeño es 4, el resto, 0 <R <4

Para el número entero más pequeño arriba (x - a) · Q (x), tenemos;

R = 1

Observamos que el mínimo común múltiplo de 4, 6, 9, 11 y 12 = 396, por lo tanto, podemos tener;

(x - a) · Q (x) = 396

R = 1, dar;

p (x) = 396 + 1 = 397

Por lo tanto;

El número que no es divisible por 4, 6, 9, 11 y 12, de manera que cuando se divide por estos números da residuos iguales, p (x) = 397

7 0

3 years ago

The volume of clay used to build a cylindrical pillar with a height of 9 centimeters is 324π cubic centimeters. The area of the

Kitty [74]

The volume of a cylinder is written as V = πr²h. The volume is 324π cm³ and the height is 9 cm. Evaluating it, we will arrive at the value of radius as 6 cm. Area of the base can be obtained using the formula A = πr². If r = 6cm, area of the base will be 36π cm

3 0

4 years ago

Read 2 more answers