Kathy is a scientist who is working in a remote part of Australia. She earns a salary of $86 840 plus a weekly allowance of $124.80 for working under extreme and isolated conditions. Calculate Kathy’s fortnightly pay.

      The question gives us two points,  (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m)   = (y₂ - y₁) ÷ (x₂ - x₁)

                                           = (5 -(-3)) ÷ (-9 -(-3))      

                                           =  (5 + 3) ÷ (-9 + 3)    

                                           =   - ⁴/₃  

Checking my answer visually:  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.

                                ⇒  y - (-3) = - ⁴/₃ (x - (-3)        [ using the point (-3, -3)]

                                       y + 3  = - ⁴/₃ (x + 3)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.  

Answer:

3.4166666666667

Step-by-step explanation:

Answer 16644

Step-by-step explanation:

Answer:

16,644

Step-by-step explanation:

.83 is rounded up to 1, add that to the remaining numbers

Hi there!  

»»————-　★　————-««

I believe your answer is:  

24

»»————-　★　————-««  

Here’s why:  

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[tex]\text{Converting 75 percent to a decimal: } 75\%\rightarrow \frac{75}{100}\rightarrow 0.75\\\\\rightarrow 0.75 * 32 = \boxed{24}\\\\\\\rightarrow \text{75 percent of 32 is \textbf{24}.}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

24-6=18(one group)

18×3=54 because kevon split them into 3 groups

Answer:

There are 1440 minutes in a day

Answer:

1,440 minutes

Step-by-step explanation:

Multiply 60 minutes times 24 hours and it will equals 1,440.

Answer:

1.6 litre of milk is left

Using the equation of an parabola, it is found that the value of p is 0.5.

The equation of a parabola that is concave to the left or to the right, that is, that has directrix y = k, and vertex (h,k), is given by:

[tex](y - k)^2 = 4p(x - h)[/tex]

The focus is at: (h, k + p).

The directrix is at: y = k - p

For this problem, we have that:

Since [tex]k = 3 - p[/tex]:

[tex]3 - p - p = 4[/tex]

[tex]2p = 1[/tex]

[tex]p = \frac{1}{2}[/tex]

[tex]p = 0.5[/tex]

The value of p is 0.5.

A similar problem is given at https://brainly.com/question/17987697

Answer:

220km

Step-by-step explanation:

Time taken (t) = 2hrs 45 min

= 2.75 hrs

AV =80km/hrs

Displacement or Distance (d) =?

We have,

AV = d÷t

80 = d÷2.75

80 × 2.75 = d

d = 220km

Answer:

77

Step-by-step explanation:

Rate as BRAINLIEST

x + 9y

we plug in x and y

5+9(8)

=5+72

= 77

Answer:

77

Step-by-step explanation:

substitute the values in the equation

that'll give you 5+9(8)

then evaluate, 9(8)=72

72+5=77

Answer: 11.31

Step-by-step explanation:

Answer:

You will use the formula y2-y1 over x2-x1.

This would make 7-5 over 1+3.

7-5=2 and 3+1=4. 2/4=1/2.

The answer is 1/2 :) If it turns out wrong, then the answer is most definitely 2.

Answer:

A. y + 5 = –3(x – 1); y = –3x – 2

Step-by-step explanation:

Point-slope form:

Slope-intercept form;

EXPLANATION

The point-slope form of a line is given by:

We need to find the slope using the formula:

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

The point slope form now becomes,

To find the slope intercept form, we expand to obtain;

Answer:

30,000 brooooooooooooo

Answer:

30,000

Step-by-step explanation:

3 x 10000

=30000

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

Answer:

y=3/4x+9/-4

Step-by-step explanation:

3x-4y=9

-3x. -3x

-4y= -3x+9

-4 -4

y=3/4+9/-4

Answer:

Step-by-step explanation:

This is a proportional relationship:

Use a pair of values to find the coefficient of proportionality (5, 2.5):

k = 0.5 units represents a cost of a text message.

25 text messages cost:

Answer:

13.896 kg

Step-by-step explanation:

Volume of Gold Bar = Area of [Trapezium x Length of Bar]

Length of Bar = 16 cm

Area of Trapezium = 2 × Area of Triangle + Area of Rectangle

Area of Triangle = 0.5 × 5 × 3 = 7.5 cm²

2 × Area of Triangle = 2 × 7.5 = 15 cm²

Area of Rectangle = 6 × 5 = 30 cm²

Area of  Trapezium = 15 + 30 = 45 cm²

Volume of Gold Bar = 45 × 16 = 720 cm³

Density of Gold = 19.3 g/cm³

Mass of Gold Bar = 720 × 19.3 = 13896 g = 13.896 kg

Mass of Gold Bar = 13.896 kg

Therefore the mass of the Gold Bar is: 13.896 kg (kilograms).

Answer:

13.896kg

Step-by-step explanation:

First, find the volume of the trapezium.

Volume = area of cross-sectional area times the length (16cm)

[(a+b)/2] times height

(6+12)/2 x 5

(18/2) x 5

9 x 5

= 45 <-- area of cross section

45 x 16 = 720 cm^3 <-- volume

To find the mass, multiply volume times density

720 x 19.3 = 13 896g  = 13.896kg

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Answer:

Sarah is correct: lines l and m are not parallel.

Step-by-step explanation:

Given that m < 1 = 130°, and m < 7 = 45°,

Sarah is correct, that lines l and m are not parallel.

If lines l and m were parallel cut by the transversal, n, then its exterior angles < 1 and < 7 that lie on the same side of the transversal should be supplementary.  In other words, m < 1 and m < 7 should have a sum of 180°

Since according to the given prompt that m < 1 = 130°, and m < 7 = 45°, the sum of their measure add up to 175°, and not 180°.

Therefore, lines l and m are not parallel.

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Answer:

slope=-4 y-intercept=1

Step-by-step explanation:

m is slope and b is y-intercept in y=mx+b

Answer:

Slope: -4

intercept: (0,1)

Answer:

x= -2

Step-by-step explanation:

-0.2(25x+5)-5 = 4

We move all terms to the left:

-0.2(25x+5)-5-(4) = 0

We add all the numbers together, and all the variables

-0.2(25x+5)-9 = 0

We multiply parentheses

-5x-1-9 = 0

We add all the numbers together, and all the variables

-5x-10 = 0

We move all terms containing x to the left, all other terms to the right

-5x= 10

x=  10/-5

x= -2

Answer:

x=-2

Step-by-step explanation:

step 1 -5x-1-5=4

step 2 -5x-6=4

step 3 -5x=10 cause you add 6 on both sides

step 4 and then divide both sides by -5 to get x=-2

Answer:

Each side of the Rhombus is equal to 4x

Answer:

Step-by-step explanation:

8 - something = -5

so negative something has to be 5 bigger then 8 to have a -5 left at the end

8 - (8+5) = -5

8 - 13 = -5

Answer:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Step-by-step explanation:

The graph has an unremovable discontinuity at X=0, therefore all continuity answers are incorrect.

The graph is neither symmetrical about the x-axis nor y-axis, but if it were to be rotated around the origin, it would be symmetric.

On both sides of the graph, the slope is decreasing.

Therefore:

- The graph is decreasing over its entire domain

- The graph is symmetrical about the origin

Answer:

[tex]\frac{10}{21}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

- 4c - a

= - 4 × - [tex]\frac{2}{7}[/tex] - [tex]\frac{2}{3}[/tex]

= [tex]\frac{8}{7}[/tex] - [tex]\frac{2}{3}[/tex] ( the LCM of 7 and 3 is 21 ) , then

= [tex]\frac{8(3)}{7(3)}[/tex] - [tex]\frac{2(7)}{3(7)}[/tex]

= [tex]\frac{24}{21}[/tex] - [tex]\frac{14}{21}[/tex]

= [tex]\frac{24-14}{21}[/tex]

= [tex]\frac{10}{21}[/tex]

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Above expression can be Evaluated to get :

or

Answer:

[tex] |4( - 2) + 5(3)| = | - 8 + 15| \\ = |7| = 7[/tex]

Answer:

7

Step-by-step explanation:

Given:

|4b + 5c|

Plug in the b and c values:

|4(-2) + 5(3)|

Multiply 4(-2) and 5(3):

|-8 + 15|

Combine like terms:

|7|

Absolute value:

7

Hope this helps, have a nice day :))