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Phoenix [80]
3 years ago
9

Early on a Christmas Carol, Ebenezer Scrooge is

Mathematics
1 answer:
Evgen [1.6K]3 years ago
5 0

Answer: Ebenezer Scrooge is the protagonist

Step-by-step explanation:

this is on the internet

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3x + 2y + z = 8 2x - 3y + 2z = -16 x + 4y - z = 20
padilas [110]
I'll do a similar problem, and I challenge you to do this on your own using similar methods!

x+5y+2z=23
8x+4y+3z=12
9x-3y-7z=-10

Multiplying the first equation by -8 and adding it to the second one (to get rid of the x) and also multiplying the first equation by -9 and adding the third one to get rid of the x there too, we end up with

-36y-13z=-92
and
-48y-25z=-217

Multiplying both equations by -1, we get
36y+13z=-92
48y+25z=217

Multiplying the (new) first equation by -4/3 and adding it to the second (to get rid of the y), we get
(7+2/3)z=94+1/3

Dividing both sides by (7+2/3) to separate the z, we get
z=\frac{282/3}{23/3} = \frac{282}{23}

Plugging that into 
48y+25z=217, we can subtract 25z from both sides and divide by 48 to get 
y= \frac{217-25z}{48} =\frac{217-25*282/23}{48}

Lastly, we plug this into x+5y+2z=23 to get
x=23-5y-2z by subtracting 5y+2z from both sides to get 
x=23- \frac{217-25*282/23}{48}*5-2*282/23 

Good luck, and feel free to ask with any questions!
4 0
3 years ago
The formula for the area of a triangle is A = {bn, where b is the length of the base and h is the height.
yan [13]

Answer:

5 units

Step-by-step explanation:

Area of triangle = 1/2 × base × height

30 = 1/2 × 12 × height

Height = 30 × 2/12 = 5 units

3 0
3 years ago
Read 2 more answers
What are the missing numbers in the sequence 5/8 11 14?
algol [13]

The complete sequence solved by arithmetic progression is 5 8 11 14 17.

<h3>What is arithmetic progression?</h3>

The difference between every two successive terms in a sequence is the same; this is known as an arithmetic progression (AP). It is possible to obtain a formula for such nth term of a AP using this kind of development.

The numbers 5, 8, 11, 14,... belong to the arithmetic progression (AP) since they follow a pattern in which the previous number is added by 3 to get each new number.

nth term = a + (n-1)d

where, a is the initial term (=5)

n is the total terms in the series (=5)

d is the common difference (8-5=3)

Substitute the values in the formula to get the result;

5th term = 5 + (5-1)3

              = 5 + (4×3)

5th term = 17

Therefore, the last term (5th term) of the series is 17.

To know more about the arithmetic progression, here

brainly.com/question/16954227

#SPJ4

The correct question is-

What are the missing numbers in the sequence 5 8 11 14 __?

3 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
const2013 [10]

Function:

f(x) = 30x (75%) + 1

Bacteria after 2 hours:

10,890 bacteria

4 0
3 years ago
Read 2 more answers
the area of a triangular flower bed in the park has an area of 120 square feet. The base is 4 feet longer than twice the height.
pickupchik [31]

Answer: height = 10 feet

Base = 24 feet

Step-by-step explanation:

Let h represent the height of the triangular flower bed.

Let b represent the base of the triangular flower bed

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

The area of a triangular flower bed in the park has an area of 120 square feet. This means that

1/2 × bh = 120

bh = 120 × 2

bh = 240- - - - - - - - - - - - - - - 1

The base is 4 feet longer than twice the height. This means that

b = 2h + 4

Substituting b = 2h + 4 into equation 1, it becomes

h(2h + 4) = 240

2h² + 4h = 240

2h² + 4h - 240 = 0

Dividing through by 2, it becomes

h² + 2h - 120 = 0

h² + 12h - 10h - 120 = 0

h(h + 12) - 10(h + 12) = 0

h - 10 = 0 or h + 12 = 0

h = 10 or h = - 12

Since the height cannot be negative, then h = 10

Substituting h = 10 into equation 1, it becomes

10b = 240

b = 240/10

y = 24

8 0
4 years ago
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