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3 years ago

Tela A: Compro $/720 de mercancía y le realizaron el 12% de descuento. ¿Cuanto dinero pagó María por la tela A?

Mathematics

1 answer:

Margaret [11]3 years ago

4 0

Answer:

the amount that need to be paid by her is $633.60

Step-by-step explanation:

The computation of the amount that need to be paid by her is shown below:

= Purchase value of merchandise - purchase value fo merchandise × discount rate

= $720 - $720 × 12%

= $720 - $86.4

= $633.60

hence, the amount that need to be paid by her is $633.60

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Through (1,3) perpendicular to 3x+2y=5

Elenna [48]

Answer:

The equation of line passing through points (1 , 3) and perpendicular to given line is y = $\dfrac{2}{3}$ x + $\dfrac{7}{3}$

Step-by-step explanation:

Given as :

The equation of line is 3 x + 2 y = 5

Or , 2 y = - 3 x + 5

Or , y = $\dfrac{-3}{2}$ x + $\dfrac{5}{2}$

Another line is passing through point (1 , 3) and perpendicular to given line equation

Now, <u>From standard line equation</u>

i.e y = m x + c

where m is the slope of the line and c is the y-intercept

Now, comparing the given line equation with standard line equation

i.e y = $\dfrac{-3}{2}$ x + $\dfrac{5}{2}$

So, The slope of line = m = $\dfrac{-3}{2}$

According to question

Another line is perpendicular to the given line

So, for perpendicular property, The product of the lines = - 1

Let the sloe of another line = M

So, m × M = - 1

∴ M = $\dfrac{-1}{m}$

Or. M = $\frac{-1}{\frac{-3}{2}}$

I.e M = $\dfrac{2}{3}$

So, the slope of another line = M = $\dfrac{2}{3}$

Now, equation of line passing through slope M and point (1 , 3)

I.e equation of line in slope-points

So, y - $y_1$ = m ( x - $x_1$ )

or, y - 3 = ( $\dfrac{2}{3}$ ) × ( x - 1 )

Or, 3 × (y - 3) = 2 × (x - 1)

Or, 3 y - 9 = 2 x - 2

Or, 3 y = 2 x - 2 + 9

Or, 3 y = 2 x + 7

∴ y = $\dfrac{2}{3}$ x + $\dfrac{7}{3}$

So, The equation = y = $\dfrac{2}{3}$ x + $\dfrac{7}{3}$

Hence, The equation of line passing through points (1 , 3) and perpendicular to given line is y = $\dfrac{2}{3}$ x + $\dfrac{7}{3}$ Answer

4 0

3 years ago

How can I anwers this

nika2105 [10]

Answer: x = 3, y = 6

Solution:

4x - 3y = -6
2x + y = 12
Rearrange the terms

4x - 3y = -6
y = 12 - 2x
Substitute

4x - 3(12 - 2x) = -6
Solve the equation

x = 3
Substitute

y = 12 - 2 x 3
Solve the equation

y = 6
Write the solution

x = 3
y = 6

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IRISSAK [1]

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