3 years ago

The sum of 12 and a certain number is equal to the product of 3 and the number

Mathematics

1 answer:

german3 years ago

3 0

Answer:

Read the explanation!

Step-by-step explanation:

Let the "certain number" be $x$ .

( $*$ is a symbol for multiplication).

Create a few equations and expressions:

The sum of 12 and a certain number: $12 + x$

The product of 3 and the number: $3 *x = 3x$

The sum of 12 and a certain number is equal to the product of 3 and the number:

$12 + x$ = $3x$

Solve!

12=3x-x

12=2x

x=6

You might be interested in

NEED HELP ASAP PICTURE INCLUDED

RoseWind [281]

Slope = (-3+4)/(0+5) = 1/5

passing (-2,2)
y = mx +b
2 = 1/5(-2) + b
2 = -2/5 + b
so b = 2 +2/5 = 12/5

equation
y = 1/5x + 12/5
answer is B y = 1/5x + 12/5

3 0

3 years ago

In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five ti

romanna [79]

Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees

3 0

3 years ago

what is the equation of the line that passes through (-9,12) and is perpendicular to the line whose equation is y=1/3x+6

BabaBlast [244]

Y=kx+b
line is perpendicular y=1/3x+6⇒ k=- $\frac{1}{ \frac{1}{3} }$ =-3

so line y=-3x+a
this line that passes through (-9,12)⇔x=-9, y=12, so 12=-3(-9)+a
12=27+a
a=12-27
a=-15
y=-3x-15

P.s.picture to test solutions in the application