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3 years ago

If I sell shirts for $15 a piece plus a a shipping fee of $20, what would my slope be?

Mathematics

1 answer:

MariettaO [177]3 years ago

6 0

I don't know what you're asking but its $35 a piece with shipping.

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

4 years ago

Which pair of numbers is relatively prime?

Vladimir [108]

I think it is 21 and 50. The only common factor they have is 1.

All the others are divisible by 1 & 3.

3 0

4 years ago

Read 2 more answers

Johnathan is making his famius pasta dish his mom ate 2/7 of pasta and his

aniked [119]

$\dfrac{2}{7} + \dfrac{1}{6} = \dfrac{2 \times 6}{7 \times 6} + \dfrac{1 \times 7}{6 \times 7} = \dfrac{12}{42} + \dfrac{7}{42} = \dfrac{19}{42}$

$\boxed {\boxed {\text {Answer: They ate }\dfrac{19}{42} \text { of the pasta.}}}$

4 0

3 years ago

Read 2 more answers

A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by car, and the rest of the way b

Shkiper50 [21]

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

7 0

3 years ago

Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and

Vilka [71]

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns: a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

7 0

2 years ago