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Mrac [35]
3 years ago
8

Solve: (⅓) x – 13 > 14 A) x < 81 B) x > 81 C) x > 9 D) x < 9

Mathematics
1 answer:
frozen [14]3 years ago
4 0

\dfrac{1}{3}x-13>14\qquad\text{add 13 to both sides}\\\\\dfrac{1}{3}x>27\qquad\text{multiply both sides by 3}\\\\\boxed{x>81}\to\boxed{B)}

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I need to know this asap!
Vinvika [58]

w+2x=16 ⇒ w=16-2x


x+2w=14        x+2(16-2x)=14

                      x+32-4x=14

                     -3x=14-32

                      -3x=-18  /:(-3)

                       x=6


w=16-2x=16-2·6=16-12=4


2y+w=-6 ⇒   2y+4=-6

                   2y=-6-4

                   2y=-10  /:2

                   y=-5

4 0
3 years ago
consider the line y= 2/3x-0. Find the equation of the line that is parallel to this line and passes through the point (8, 4).
tresset_1 [31]
Point-slope form of a line: we need a point (x₀,y₀) and the slope "m".
y-y₀=m(x-x₀)

slope intercept form :
y=m+b

m=slope

If the line is parallel to y=2/3 x-0, the line will have the same slope, therefore the slope will be: 2/3.

Data:
(8,4)
m=2/3

y-y₀=m(x-x₀)
y-4=2/3(x-8)
y-4=2/3 x-16/3
y=2/3 x-16/3+4
y=2/3 x-4/3  (slope intercept form)

Answer: The equation of the line would be: y=2/3 x-4/3.


if we have the next slope "m",then the perendicular slope will be:
m´=-1/m

We have this equation: y=2/3 x+0; the slope is: m=2/3.

The perpendicular slope will be: m`=-1/(2/3)=-3/2

And the equation of the perpendicular line to : y=2/3 x+0, given the point (8,4) will be:

y-y₀=m(x-x₀)
y-4=-3/2 (x-8)
y-4=-3/2 x+12
y=-3/2x + 12+4
y=-3/2x+16

answer: the perpendicular line to y=2/3 x+0 , given the point (8,4) will be:
y=-3/2 x+16
3 0
3 years ago
a lady purchased a question for $68 if the jacket was on sale for 20% off what was the original price of the jacket
nekit [7.7K]

Answer:

$85

Step-by-step explanation:

100%-20%=80% and 80% = 0.8

So,

0.8x=68

x=85

8 0
3 years ago
Read 2 more answers
1 - width; 7 cm height; 2 cm (Quantity: 50)
krek1111 [17]
The answer is 1,230. All you have to do is add everything on the right side you don’t have to worry about anything on the left.
6 0
3 years ago
Read 2 more answers
Solve the system of equations x+y= -13 and 4x + 6y = -72 by combining the<br> equations.
uranmaximum [27]

Answer:

Step-by-step explanation:

Fist you add -13 to 6y and than 4x that should be 69420

8 0
2 years ago
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