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Galina-37 [17]
3 years ago
15

Over six months, a family's electric bills averaged $55 per month. The bills for

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0
Answer:

$54.35

Step-by-step explanation:

The differences from the average value are;

2.60, 5.00, -1.75, -4.25, -0.95
The total of these differences is +0.65, so the final bill must have a value that is $0.65 lower than the average.

The bill for the 6th month is $54.35.
_____
Check
The average of the bills for 6 months is;

(57.60 +60 +53.25 +50.75 +54.05 +54.35)/6 = 330/6 = 55

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Three sets have 5, 10, 15 elements, respectively. How many elements can their union and intersection have?​
Degger [83]

Answer:

Union = 15

Step-by-step explanation:

Given

n(A) = 5; n(B) = 10; n(C) = 15

Solving (a): Possible union elements

This is the represented by element with the largest number of the sets

i.e.

Union = 15

Solving (b): Possible intersection elements

This is the represented by element with the least number of the sets

i.e.

Intersection = 5

6 0
3 years ago
The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the
Scilla [17]

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

6 0
2 years ago
Read 2 more answers
Drawing it out would be best can you help me please
leva [86]

Answer:

z_1+z_2 = (-2,5)

Step-by-step explanation:

To Find: z_1+z_2

Solution :

Referring the given graph

We can find the coordinates of   z_1 and  z_2

Coordinates of   z_1= (-7,1)

Coordinates of  z_2= (5,4)

Thus Coordinates of  z_1+z_2 = (-7+5,1+4) = (-2,5)

Thus z_1+z_2 = (-2,5)

So, the point z_1+z_2 = (-2,5) is shown on the attached graph file

6 0
3 years ago
Convert 3009 inches to yards,feet and inches. (Show your work)
Ghella [55]

Answer:

Yards: 83.58

Feet: 250.75

Inches: 3009

Step-by-step explanation:

Yards: 1 yard = 36 inches

3009/36= 83.58

So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.

Feet: 1 foot = 12 inches

3009/12= 250.75

Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.

Inches: It's already in inches :)

I hope this isn't confusing and I could help!

8 0
3 years ago
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The total ages of Sarah, Jake and Matthew add up to 36. Jake is two years younger than Sarah and Matthew is 16 years younger tha
Hatshy [7]

Answer:

Step-by-step explanation:

S+J+M=36

J=S-2 or J=x-2

M=S-16 or M=x-16

6 0
3 years ago
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