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3 years ago

Substitution method please help :3

Mathematics

2 answers:

lozanna [386]3 years ago

8 0

Answer:

3x = 14

Step-by-step explanation:

Add the two equations.

5x + (-2x) = 3x

(-y) + y = 0

6 + 8 = 14

3x = 14.

Dmitry [639]3 years ago

4 0

Step-by-step explanation:

5x - y = 6 and -2x + y = 8

1/ 5x - y = 6

=> y = 5x - 6

2/ -2x + y = 8

Substitute 1/ into 2/ we will have:

-2x + (5x - 6) = 8

=> -2x + 5x - 6 = 8

=> 3x = 14

=> x = $\frac{14}{3}$ <=> y = $\frac{52}{3}$

- However, the question asked for the final equation when adding 5x - y = 6 and -2x + y = 8 => The correct answer will be: 3x = 14

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-8(8v + 1) - 2 = -394

Bess [88]

Answer:

v = 6

Step-by-step explanation:

Solve for v:

-8 (8 v + 1) - 2 = -394

-8 (8 v + 1) = -64 v - 8:

-64 v - 8 - 2 = -394

Grouping like terms, -64 v - 8 - 2 = -64 v + (-8 - 2):

-64 v + (-8 - 2) = -394

-8 - 2 = -10:

-10 - 64 v = -394

Add 10 to both sides:

(10 - 10) - 64 v = 10 - 394

10 - 10 = 0:

-64 v = 10 - 394

10 - 394 = -384:

-64 v = -384

Divide both sides of -64 v = -384 by -64:

(-64 v)/(-64) = (-384)/(-64)

(-64)/(-64) = 1:

v = (-384)/(-64)

The gcd of -384 and -64 is -64, so (-384)/(-64) = (-64×6)/(-64×1) = (-64)/(-64)×6 = 6:

Answer: v = 6

3 0

3 years ago

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The amount of time it takes a swimmer to swim a race varies inversely as the average speed of the swimmer. A swimmer finishes a

yarga [219]

Answer:

5 average speed

Step-by-step explanation:

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2 years ago

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Help me please

deff fn [24]

Answer:

(x-1)^2 + y^2 = 25

Step-by-step explanation:

center C ( ( xA + xB)/2 , (yA+yB)/2 ) = ( 1 , 0)

AB = 10

radius = AB / 2 = 5

equation formula: (x - xC)^2 + (y-yC)^2 = radius^2

Hence:

(x-1)^2 + y^2 = 25

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2 years ago

Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 450 seconds a

Gnoma [55]

Answer:

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Step-by-step explanation:

Mean = 450 seconds

Standard deviation = 50

First, we determine the probability that the expected response time is between 400 seconds and 500 seconds, P(400<x<500)

Using the Z-Score,

$P(\frac{x-\mu}{\sigma}$

From the Z-Score table

P(-1<x<1) = 0.68269

The probability that the expected response time is between 400 seconds and 500 seconds is 0.68269.

Since there are 160 Emergencies

Number whose expected time is between 400 seconds and 500 seconds

$=160 X 0.68269 \approx 109$

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