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frez [133]
3 years ago
14

Solve for x(only)for the following system of equations using Cramer's rule.

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
1st answer: x= -7/2 -5/4y + 1/2z
2nd answer: x= 6 + 1/7y -2/7z
3rd answer: x= 28/3 -1/3y -4/3z

Steps
4x + 5y -2z = -14
Move variables to the right
4x = -14 -5y +2z
Divide both sides by 4
X= -7/2 -5/4y +1/2z
Answer
X= -7/2 -5/4y +1/2z

7x -y +2z =42
Move variables to the right
7x = 42 +y -2z
Divide both sides by 7
X= 6 + 1/7y -2/7z
Answer
X= 6 + 1/7y -2/7z

3x +y +4z = 28
Move variables to the right
3x =28 -y -4z
Divide both sides by 3
X= 28/3 -1/3y -4/3z
Answer
X= 28/3 -1/3y -4/3z
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Step-by-step explanation:

1/5 of the slab are grey implies that 4/5 are yellow.

The ratio of grey to yellow is thus given as :

1/5 : 4/5

which is 1 : 4

Therefore , the ratio of grey to yellow is 1: 4

The total ratio = 1 + 4 = 5

To calculate the number of yellow , we use the formula

number of yellow = \frac{ratio of yellow}{total ratio} X  total number of slabs , that is

number of yellow = \frac{4}{5} X 55

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3 years ago
True or false: two points with the same x-coordinate are always on the same vertical line
Vesna [10]
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olga_2 [115]

Answer:

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8 0
3 years ago
Multiplying and Dividing by Powers of 10 When multiplying a number by 10, move the decimal to the right. When multiplying a numb
just olya [345]

Answer:

Because we actually divide by 10 when a number is multiplied by 0.1.

Step-by-step explanation:

Let a be a number.

When we multiply a number by 10:

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For example:

23 \times 10 = 230

Considering a decimal number:

2.3 \times 10 = 23

Multiplying a number with 0.1 (which is actually \frac{1}{10}) means dividing the number by 10.

23\times 0.1 =23\times \frac{1}{10}=2.3

Considering a decimal number:

2.3 \times 0.1 = 2.3 \times \frac{1}{10} = 0.23

<em>Therefore, When multiplying a number by 0.1, move the decimal to the left.</em>

6 0
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Read 2 more answers
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0.2 x $4500 = $900
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Porter financed $3600.

You also multiply 0.8 x $4500 because this represents the part out of 100% he still owes.  You will get the same answer this way.
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2 years ago
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