Mathematics High School

Petra’s electricity supply company charges her a fixed quarterly sum plus a rate per unit for electricity used. In the most expensive quarter last year (January to March), she used 2 000 units and her bill was $250. In the least expensive quarter (July to September), she used 600 units and her bill was $138. She is now adding extra insulation to her home which is expected to reduce her overall electricity consumption by 25%. What can she expect her January to March bill to be next year (if there are no increases in overall tariffs)? *

Answers

Answer 1

Answer:

$210

Step-by-step explanation:

(January - March) charge last year :

Unit consumed = 2000

Bill = $250

(July - September) charge last year:

Unit consumed = 600 units

Bill = $138

Billing :

Fixed charge + rate per unit ;

Let fixed charge = c ; rate per unit = m

Billing can be represented by the equation :

mx + c = y

x = unit consumed ; y = total charge

Expensive quarter:

2000x + c = 250 - - - (1)

Least expensive quarter:

600x + c = 138 - - - (2)

From (2)

c = 138 - 600x ; plug into (1)

2000x + 138 - 600x = 250

1400x = 250 - 138

1400x = 112

x = 0.08

0.08 = x = rate per unit

From ; c = 138 - 600x

c = 138 - 600(0.08)

c = 90

Fixed charge = 90

Billing equation :

y = 0.08x + 90

If insulation will reduce unit consumption by 25%

Then, consumption in most expensive quarter will be :

(100 - 25)% * 2000

0.75 * 2000 = 1500 units

Charge will be :

(0.08*1500) + 90

= $210

Related Questions

What is the slope of the line that passes through the points (0,7) and (-4,3)

Answers

Answer:

The slope=1

Step-by-step explanation:

(0,7)=(x,y) and (-4,3)=(`x,`y)

The formula for finding slope= `y - y/`x - x

3-7/-4-0

-4/-4

Therefore, the slope=1

Please I need help this is already late

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the first would be A and hopes this helps

How many degrees is 1.2 rotations counter clockwise?

Answers

Answer:

The expression is already in decimal form.

1.2

Step-by-step explanation:

(づ￣ ³￣)づ

4) Graph the line 2x - 7y = 14 using X- and y-intercepts.
x-intercept y-intercept
Click to add text Click to add text
O
YA
6
5
4
3
2
1
-6-5-4-3-2
1 2 3 4
5 6
2
-3
-5
-6
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Answers

Answer:

（0，-2）（7，0）

Step-by-step explanation:

The figures are similar. Find each missing measure. (Number 6)

Answers

It’s 9
Cuz the shape on the right is 3/4 of the one to the left

Help me please please

Answers

Answer:

4. c = 10

5. True

6. t = 3

Answer:

#4. 10

#5. true

#6. 3

please help !!!! no wrong answers please please

Answers

Answer:

function

not a function

function

Step-by-step explanation:

1/3r + 1/6 = 5 5/6

solve this?

Answers

Answer:

r=17

Step-by-step explanation:

Answer:

r=17

Step-by-step explanation:

1/3r+1/6= 35/6 (5 5/6)

35/6-1/6= 34/6 (5 4/6 or 5 and 2/3)

1/3r= 34/6 (5 4/6)

3*(1/3)r= (34/6)*3

r=17

If Alexander has not sold all of the granola after 3 days, he sells the remaining bags for
60% of the cost. What is the sale price of the individual bags of granola?

Answers

Answer:

Cost Price of Each Bag is 2.5

Total Gain is 17.5

Step-by-step explanation:

Can somebody help me pls

Answers

Answer:

A. don't move either direction

Step-by-step explanation:

the number determines how many you move forward or backward 0 would mean u don't move at all

Answer:

a card with the number 0 would mean not to move at all south would be ''do not move in either direction''

Find exact volume of the cylinder with a diameter of 10 feet and a height of 8 feet

Answers

the exact volume would be 80 feet long

6+5 x 2 +5+ =

67 +84 - 12 x 4 = 16

Answers

Answer:

6+(5 x 2)+5=21

the way you wrote this was kinda weird so I don't know what you expected as an answer

Step-by-step explanation:

5 x 2=10

10+6=16

16+5=21

You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set? You are buying a Lego set. Target has it listed for $34.99 which is 70% of the original price. What is the original cost of the Lego set?

Answers

Answer:

Original price = $49.98

Step-by-step explanation:

Target has it listed for $34.99 which is 70% of the original price.

Let the original price be x.

ATQ,

[tex]70\%\ of\ x=34.99\\\\x=\dfrac{34.99\times 100}{70}\\\\x=\$49.98[/tex]

So, the original price of the Lego set is $49.98.

Find the product. Enter the product in simplest form. 7/8 x 7=

Answers

Answer:

7/8 x 7 = 49/8 then

Step-by-step explanation:

if u cant simplify(which u cant)

then u turn it into a mixed number which is

8 can go into 49 like 6 times so 6 is ur outside number

then 8 is ur denominator and 8x6=48 + 1 = 9

48 so answer is

6 1/8

Please help me!!!!!””

Answers

Answer:

d=45t

Step-by-step explanation:

to find speed you divide the distance by the time. 67.5/1 1/2 = 45

Answer:d=45t

Step-by-step explanation:

I took the i-Ready

Someone plz help me

Answers

Answer:

16 is the answer hope i helped!

Step-by-step explanation:

Answer:

i think it c

Step-by-step explanation:

The graph below represents the linear equation y=1/2x-3 a second linear equation is represented by the data in the table. What is the solution to the system of e

Answers

ik its late but the correct answer is C:(2,-2)

Step-by-step explanation:

I got the answer correct on Edge 2020.

Hope this helps!!

what is 10% of 50 ??

Answers

Answer:

Step-by-step explanation:

10% = 0.1

0.1*50 = 5

Answer:

Step-by-step explanation:

10 percent *50 =

( 10:100)*50 =

( 10*50):100 =

500:100 = 5

Now we have: 10 percent of 50 = 5

convert 76.1% to a decimal
Answered ASAP

Answers

Answer:

0.761

Step-by-step explanation:

You must divide the answer by 200 as you are obtaining the decimal value from a value over 100.

The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7

3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning?

Answers

The y intercept is 1.5x+22.7 + the linear equation which is 22

The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.

Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7

The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.

To know more about scatter plots follow

https://brainly.com/question/6592115

#SPJ5

Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?

Answers

Answer:

5 hours 8 mins?

Step-by-step explanation:

simplify each expression 6X + 2x

Answers

Answer:

I think the answer is 8x

Answer:

Step-by-step explanation:

6x+2x=(6+2)x

=8x

Can you help??????????????????

Answers

Answer:

Step-by-step explanation:

Where are all the math whizzes? I need your help, please! I will mark brainliest!
For all positive integers x, y, and z, which of the following expressions equal x/z?

Answers

Answer:

Step-by-step explanation:

A. x/yx * zy/yx = 2/x

B. x/y + y/z = (xz+y^2)/yz

C. x*z/z*x = 1

D. (x+y)/(y+z) = y(x+1)/y(1+z) = x+1/1+z

E. x/y / z/y = x/y * y/z = x/z

graph y= 2/3x-4

How do I graph this?

Answers

Answer:

Read below !!

Step-by-step explanation:

Since you are already given the full equation, you would just follow the steps of plotting a line! I start usually by plotting the y-intercept, which is always on the y-axis. In this case, that would be -4 ! You mark -4 on the line, and from there, you would use RISE/RUN to find out the slope of the line. Since it's 2/3, you would rise 2, and go to the right 3, all from the point -4. You should do that about two times in order to get your line !!

I hope this helps !!

Which best describes the triangle or triangles, if any, that can be formed with the side lengths (not the angles) measuring 60 centimeters, 100 hundred centimeters, and 40 centimeters.

A infinitely many similar scalene triangles
B one unique scalene triangle
C no triangle
D two unique scalene triangles

Will mark brainliest!!!

Answers

Don't be mad if I'm wrong but I think B

Question 2/5
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o
2
Find the area of the triangle below. The area of the triangle is
in
17 in
8in.
10 in.
15 in
6 in

Answers

i think the answer is 122,400

Help me pleas please can i get help

Answers

Answer:

I can't see the question

Step-by-step explanation:

i can’t see it either it’s blurry

3) 5m - 40
what's da answer ?

Answers

I believe the answer is -8

Solving this you would divide 5m by 5m which cancels 5m out. Then you would divide - 40 by 5m and get -8. Note that you are not actually dividing - 40 by 5m just 5.

Hope this helps!

Joanne has a scale drawing of her backyard that includes a garden bed that measures 16 inches long and 25 inches wide. What is the area of the actual garden bed? Scale 4in.:5ft

Answers

Answer:

400

Step-by-step explanation:

16 x 25 = 400

~ LadyBrain

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