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zhannawk [14.2K]
3 years ago
10

Babaganoush’s electricity supply company charges him a fixed quarterly sum plus a rate per unit for electricity used. In the mos

t expensive quarter last year (January to March), he used 2,400 units and his bill was $320. In the least expensive quarter (July to September), he used 800 units and his bill was $144. He is now adding extra insulation to his home which is expected to reduce his overall electricity consumption by 25%.
What can he expect his January to March bill to be next year (if there are no increases in overall tariffs)?
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

14,848.25

Step-by-step explanation:

2400+800=3200

320+144=464

25                       3200            464

----                          ------             ----=               14,848.25

100                            x                x

25x3200x464 divided by 100

Hope this helped and have a great day!

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1. Find the measurement of angle J.<br><br> 2. (5x - 13) (3x + 17)
Alex Ar [27]

Answer:

Q1. x= 18, y=59

Q2. m∠J= 56°

Step-by-step explanation:

Q1. (3x +5)°= y° (base ∠s of isos. △)

y= 3x +5 -----(1)

(3x +5)° +y° +(4x -10)°= 180° (∠ sum of △)

3x +5 +y +4x -10= 180

7x +y -5= 180

7x +y= 180 +5

7x +y= 185 -----(2)

Substitute (1) into (2):

7x +3x +5= 185

10x= 185 -5

10x= 180

x= 180 ÷10

x= 18

Substitute x= 18 into (1):

y= 3(18) +5

y= 59

Q2. (5x -13)°= (3x +17)° (base ∠s of isos. △)

5x -13= 3x +17

5x -3x= 17 +13

2x= 30

x= 30 ÷2

x= 15

∠LKJ

= 3(15) +17

= 62°

∠KLJ= 62° (base ∠s of isos. △)

m∠J

= 180° -62° -62° (∠ sum of △JKL)

= 56°

8 0
3 years ago
If A denotes some​ event, what does Upper A overbar ​denote? If ​P(A)equals0.999​, what is the value of ​P(Upper A overbar​)? Wh
meriva

Answer:

<h3>The event P(\overline{A}) denotes the complement of event A.</h3><h3>The value of P(\overline{A}) is 0.001</h3>

Step-by-step explanation:

Given that A denotes some event .

And also given that P(A)=0.999

<h3>To find the value of P(\overline{A}) :</h3>

Here the event P(\overline{A}) denotes the complement of event A Therefore P(\overline{A}) contains all the events that does not occur in A.

We know that the total probability is 1

So we have that

P(A)+P(\overline{A})=1

P(\overline{A})=1 -P(A)

=1-0.999

=0.001

Hence the complement of event A is P(\overline{A})=0.001

<h3>Therefore the value is P(\overline{A})=0.001</h3>

6 0
3 years ago
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In ΔDEF, the measure of ∠F=90°, FD = 63 feet, and DE = 71 feet. Find the measure of ∠E to the nearest degree.
stepan [7]

Answer:

Step-by-step explanation:

∠F=90°, FD = 63 feet, and DE = 71 feet.

That's a right angle triangle also.

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3 years ago
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