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2 years ago

Solve this system of linear equations. Separate the x- and y-values with a comma.

Mathematics

1 answer:

vodomira [7]2 years ago

7 0

Answer:

x = $\frac{5}{2}$ , y = $\frac{5}{4}$

Step-by-step explanation:

1. Isolate for x in one of the equations:

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

2. Substitute 2y in for x in the second equation:

9(2y) = 40 - 14y

3. Simplify:

18y = 40 - 14y

4. Isolate for y:

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = $\frac{5}{4}$

5. Substitute the new y-value into the simplified expression x = 2y:

x = 2(5/4)

x = $\frac{5}{2}$

hope this helps!

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A grocery store sells 6 bottles of water for $4.00 ad 15 bottles of water for $10.00. Is the cost of the water proportional to t

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3 years ago

A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the p

andreyandreev [35.5K]

Answer:

B) 0.894

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

A local animal rescue organization receives an average of 0.55 rescue calls per hour.

This means that $\mu = 0.55$

Probability that during a randomly selected hour, the organization will receive fewer than two calls.

$P(X < 2) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577$

$P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317$

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3 years ago

Aysha got a dress that was on 20% off of the original price of $25.40. How much did she get the dress for?

notka56 [123]

Answer:

20.32$

Step-by-step explanation:

25.40×.20 = 5.08

25.40- 5.08 = 20.32

so the answer would be 20.32$

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3 years ago

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mr_godi [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Harrizon [31]

Answer:

Step-by-step explanation:

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add

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<em>PLEASE MARK BRAINLIEST</em>

3 0

3 years ago