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finlep [7]
4 years ago
6

Which classification best describes the following system of equations? 3x+6y-12z=36, x+2y-4z=12, 4x+8-16z=48

Mathematics
1 answer:
Andrews [41]4 years ago
5 0
(1) 3x+6y-12z=36
(2) x+2y-4z=12
(3) 4x+8y-16z=48

The first equation (1) is the second equation (2) multiplied by 3:
(2) x+2y-4z=12→3(x+2y-4z=12)→3x+6y-12z=36 (1)

The third equation (3) is the second equation (2) multiplied by 4:
(2) x+2y-4z=12→4(x+2y-4z=12)→4x+8y-16z=48 (3)

The equations are linearly dependent, Then the system of equations is dependent, and then consistent too.
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El perímetro es 28cm y el ancho es de 6 cm cuál es al alto
Snowcat [4.5K]

Answer:

El mayor lado del rectángulo es de 10 cm

Explicación paso a paso:

Perímetro de un rectángulo: es el doble de la suma de sus lados

P = 2 (a+b)

a: es el ancho del rectángulo

b: es el largo del rectángulo

Uno de los lados es 6cm mas que el otro lado

b= a + 6 cm

Sustituimos en la ecuación de perímetro:

28cm /2 = a+a+6cm

14cm = 2a +6 cm

14cm-6cm = 2a

a = 4 cm

b = 10cm

El mayor lado del rectángulo es de 10 cm

brainly.lat/tarea/2483694

Step-by-step explanation:

5 0
3 years ago
Factor the GCF: 12a^3b + 8a^2b^2 — 20 ab^3
geniusboy [140]

Answer:

GCF is 4ab

And the expression will be: 4ab ( 3a^2+2ab-5b^2)

Step-by-step explanation:

Factor the GCF :

12a^3b + 8a^2b^2-20 ab^3

We need to find the common terms that are common in each of the term given above

12,8 and 2 are all divisible by 4

a is common in all terms and b is also common in all terms,

So, GCF is 4ab

Taking 4ab common

12a^3b + 8a^2b^2-20 ab^3=4ab ( 3a^2+2ab-5b^2)

5 0
4 years ago
How many bottles can you drink?
jeka57 [31]

Step-by-step explanation:

You have 120 bottles of Cola and 120 bottles of Sprite.

You can exchange 3 empty Cola bottles for a new bottle of Sprite.

You can exchange 4 empty Sprite bottles for a new bottle of Cola.

You can borrow empty bottles, but must return them in the end.

What is the maximal number of bottles of drink that you can drink? Prove the optimality of your result.

As this is a puzzle, please give short and clever answers rather than tedious bruteforce calculations.

6 0
3 years ago
Please help me
Virty [35]

Answer:

1) Step 3: S = $136.49 - $3.0625 × 1/4

2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4

Step-by-step explanation:

1) From the given information, we have;

The amount amount Maria earns as a pet sitter = $32.75

The number of weeks Maria worked as a pet sitter = 2 weeks

The amount Mariah previously saved = $70.99

The amount Maria spent = $12.25

The amount Mariah put in her savings account = 1/4 of the remaining (balance) money

Therefore, we have;

The amount placed in Mariah's savings account, S, is given as follows;

Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4

Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4

Step 3: S = [($136.49) - $12.25] × 1/4

Step 4: S = $124.24 × 1/4

Step 5: S = $31.06

The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;

Step 3: S = $136.49 - $3.0625 × 1/4

2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.

6 0
3 years ago
Read 2 more answers
Alicia and Jeremy weigh a cell phone on a digital scale. They write down 113 but forget to record the unit. Which unit of measur
Korolek [52]
I'm sure the measurement was made in grams because:

1. most cell phones weigh between about 100 and 150 grams
2. there's no cell phone that weighs 113 kg, 113 pounds, 113 ounces etc.
5 0
3 years ago
Read 2 more answers
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