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3 years ago

Eliminate the y in the following system of equations. What is the result when you add the two equations?

Mathematics

2 answers:

inysia [295]3 years ago

5 0

Answer:

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

SOVA2 [1]3 years ago

4 0

C is the answer. x=5

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2 years ago

Which of the following sentences has a relative clause?

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3 years ago

Find the solution of the system of equations.

irina1246 [14]

Answer:

x = -5 ; y= -1

Step-by-step explanation:

10y = -10

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2 years ago

Lisa buys a television for $4185. if the sales tax is $292.95. what percent is sales tax?

Romashka-Z-Leto [24]

Answer:

Sales tax = 7%.

Step-by-step explanation:

Let x be the percent of sales tax.

We have been given that Lisa buys a television for $4185. The sales tax is $292.95.

We need to figure out x such that x percent of 4185 equals to 292.95. Let us represent this information in an equation.

$\frac{x}{100}*4185=292.95$

Let us multiply both sides of equation by 100.

$100*\frac{x}{100}*4185=100*292.95$

$x*4185=29295$

$x=\frac{29295}{4185}$

$x=7$

Therefore, sales tax is 7%.

Let us cross check our answer by calculating 7% of 4185.

$7\%\text{ of } 4185=\frac{7}{100}\times 4185$

$7\%\text{ of } 4185=0.07\times 4185$

$7\%\text{ of } 4185=292.95$

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2 years ago

In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations t

oksian1 [2.3K]

Answer:

The estimated mean number of rockets hits in the region is 533.

Step-by-step explanation:

We are given the following information,

Number of rocket hits | Observed number of regions

0 | 228

1 | 214

2 | 94

3 | 32

4 | 7

5 | 0

6 | 0

7 | 1

We are asked to estimate the mean number of rocket hits in the region.

The mean or expected value is given by

$\mu = \sum (x \cdot P(x)) \\\\\mu = (0 \cdot 228) + (1 \cdot 214) + (2 \cdot 94) + (3 \cdot 32) + (4 \cdot 7) + (5 \cdot 0) + (6 \cdot 0) + (7 \cdot 1) \\\\\mu = 0 + 214 +188+ 96 +28 +0+ 0 + 7 \\\\\mu = 533$

Therefore, the mean number of rockets hits in the region is 533.

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3 years ago