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3 years ago

3/4x+5/6=5x-125/3 solve for x

1 answer:

4 0

3/4x+5/6=5x-125/3
3/4x+5/6-5/6=5x-125/3-5/6
4/3x=5x-85/2
4/3x-5x=5x-5x-85/2
-17/4x=-85/2
(-4*-17/4x)=(-85/2*-4)
17x=170
x=170/17
x=10

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Is (3,-2) a solution to the system below? How do you know?

cricket20 [7]

Step-by-step explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.

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2 years ago

What is the slope of a linear function that passes between (2, 7) and (5, 12)?

Grace [21]

The formula of slope,

→ (y2 - y1)/(x2 - x1)

Then the slope will be,

→ m = (12 - 7)/(5 - 2)

→ [ m = 5/3 ]

Hence, thy slope is 5/3.

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1 year ago

The arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M. Find the probability

NeTakaya

Answer:

0.025

Step-by-step explanation:

Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.

If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40

Hence probability for arriving after 8.20 is 1/40

Prob he arrives at exactly 8.21 is 1/60

To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.

= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20

This is conditional probability and hence

= $P(professor arrives at 8.21)/P(professor arrives after 8.20)\\= \frac{\frac{1}{60} }{\frac{40}{60} } \\=\frac{1}{40} \\=0.025$

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4 years ago

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vfiekz [6]

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3 years ago

Whats the value of the 2 in 0.812 and write the underline digit as a fraction.

Snowcat [4.5K]

Answer:

the value of 2 in 0.812 is 2 thousandths/0.002

0.002 = 2/1000

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3 years ago