Which of these is a negotiation skill

Nirmala graphed the relationship between the duration (in hours) of using an oil lamp and the volume (in milliliters) of oil rem

mariarad [96]

Answer:

Nirmala can use the lamp for 31.66 hours before it runs out of oil.

Step-by-step explanation:

From the graph,

Take any two points, let say

(15, 25)

(25, 10)

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(15,\:25\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)$

$m=\frac{10-25}{25-15}$

$m=-\frac{3}{2}$

The equation of line in slope-intercept form

$y = mx + b$

Putting $m=-\frac{3}{2}$ and any point, let say (25, 10), to find the y-intercept 'b'

$10=-\frac{3}{2}\left(25\right)+b$

$-\frac{3}{2}\left(25\right)+b=10$

$-\frac{75}{2}+b=10$

$\mathrm{Add\:}\frac{75}{2}\mathrm{\:to\:both\:sides}$

$-\frac{75}{2}+b+\frac{75}{2}=10+\frac{75}{2}$

$b=\frac{95}{2}$

$b=47.5$

So the equation of line will be:

$y = mx + b$

$y=-\frac{3}{2}x+47.5$

In order to find how long Nirmala can use the lamp before it runs out of oil, we need to find x-intercept which can be obtained by putting y = 0, and solve for x, as duration lies on x-axis.

so

$y=-\frac{3}{2}x+47.5$

Putting y = 0

$0=-\frac{3}{2}x+47.5$

$-\frac{3}{2}x+47.5=0$

$-\frac{3}{2}x=-47.5$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$2\left(-\frac{3}{2}x\right)=2\left(-47.5\right)$

$-3x=-95$

$\mathrm{Divide\:both\:sides\:by\:}-3$

$\frac{-3x}{-3}=\frac{-95}{-3}$

$x=\frac{95}{3}$

$x=31.66$

Therefore, Nirmala can use the lamp for 31.66 hours before it runs out of oil.

4 0

3 years ago

Read 2 more answers

An arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students. How many students does

zhenek [66]

Answer:

15students per 1 teacher

9 student per 1 tutor.

8 tutors for 72 students

Step-by-step explanation:

From the question, arts academy requires there to be 4 teachers for every 60 students and 3 tutors for every 27 students

✓ 4 teachers for every 60 students

4teacher =60students

Then divide both sides by 4 , i.e (60/4)=15. Which means for every 1 teacher there is 15 students, hence we need 15students per 1 teacher.

✓3 tutors for every 27 students,

3 tutors = 27 students then divide both side by "3" (27/3)= which means we need 9 student per 1 tutor.

How many students does the academy have

per teacher?

15students per 1 teacher

Per tutor?

9 student per 1 tutor.

How many tutors does the academy need if it has 72 students?

Since we need 9 student per 1 tutor., Then to know the numbers of tutor with 72 students,

9 student = 1 tutor.

72 students= X tutor

If we cross multiply we have

72=9X

X=8 tutors

Therefore, we need 8 tutors for 72 students

7 0

3 years ago

What form of a linear equation is y - 6 = -4(x + 2) ?

Softa [21]

Answer:

Point slope form

Step-by-step explanation:

Given

$y - 6 = -4(x + 2)$

Required

Determine the form of linear equation

A linear has just three forms:

1. The slope intercept form.: This is always in form of $y = mx + b$

2. The point slope form: This is always in form of $y - y_1 = m(x - cx_1($

2. The standard form: This is always in form of $Ax + Bxx = c$

<em>By comparison, the three forms with the question, we can see that option B answers the question.</em>

3 0

3 years ago

Which ordered pair is a solution of x−5y<7?

Svetllana [295]

Answer:

3,2 i think sorry if im wrong

3 0

3 years ago

Read 2 more answers

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (1 point) y = Four divided by x squared. + 9

wlad13 [49]

Answer:

ind f(x) and g(x) so that the function can be described as y = f(g(x)). (1 point) y = Four divided by x squared. + 9

=

8 0

2 years ago