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gregori [183]
2 years ago
12

Find the ordered pair of both 4x-3y=6 and 6x + y =42

Mathematics
1 answer:
WINSTONCH [101]2 years ago
7 0

Answer:

(-60/11,111/11)

Step-by-step explanation:

Solving simultaneously, 4x - 3y=6

-3(6x + y=42)

then it becomes, 4x - 3y=6

-18x - 3y= 126 subtracting the two equations,

22x= -120, x= -60/11 and y = 111/11

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PLEASE HELP 20 POINTS
Anika [276]
Hello!

A sample of Bromine-82 begins at 80 mL. We are given that this value will decrease by half of its current amount every 35 hours. First, we'll determine the number of times that 35 goes into 140. This will reveal the number of times we should divide the sample by 2:

140 ÷ 35 = 4

We have now proven that there are 4 periods of 35 hours in 140 hours. This means that we will divide the sample in half a total of 4 times, as follows:

1. 80 ÷ 2 = 40
2. 40 ÷ 2 = 20
3. 20 ÷ 2 = 10
4. 10 ÷ 2 = 5

We have now proven that an 80 mL sample of Bromine-82 will be reduced to only 5 mL after 140 hours. Therefore, the correct answer is 5 mL.

I hope this helps!
7 0
3 years ago
Read 2 more answers
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp
yKpoI14uk [10]

Answer:

Confidence Interval in 95% confidence level for the quality rating is (6.06,7.46)

Step-by-step explanation:

Confidence Interval can be calculated using the formula M±ME where

  • M is the mean of the sample
  • ME is the margin of error in a given confidence level

Using the sample obtained from 50 business travelers we get

  • Mean of the sample is 6.76
  • standard deviation of the sample is 2.526

Margin of error (ME) around the mean using the formula

ME=\frac{z*s}{\sqrt{N} } where

  • z is the corresponding statistic in 95% confidence level (1.96)
  • s is the standard deviation of the sample (2.526)
  • N is the sample size (50)

Using the numbers in the formula we get:

ME=\frac{1.96*2.526}{\sqrt{50} } ≈ 0.70

Then the confidence interval becomes 6.76±0.70

6 0
3 years ago
What is the estimate of a door in feet
AleksandrR [38]

The height of an interior residential door is about 7 ft.

Doors on commercial buildings or upscale residences may be taller. The usual width is about 3 ft.

_____

My front door measures 6 2/3 ft high by about 3 ft wide. My bedroom doors are 2 1/2 ft wide. The minimum for ADA-compliant doors is 2 2/3 ft.

8 0
3 years ago
The Booneville History Museum had 25,000 visitors in 1980. The number of visitors has decreased by 2.5% each
lina2011 [118]

Answer:

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation

6 0
3 years ago
The length of a rectangle is (x plus 3) inches long, and the width is 3 2/5 inches. If the area is 15 3/10 square inches, write
IgorC [24]

Answer: Explained in the step-by-step


Step-by-step explanation:

We want to isolate x, and remember, what we do to one side we do to the other:

(x+3) * 3  2/5 = 15  3/10

(x+3) * 3  2/5 divided by 3  2/5 = 15  3/10  divided by 3  2/5

x + 3 = 153/10 * 5/17

x + 3 = 765/170

x + 3 = 153/34

x + 3 = 4.5

x + 3 - 3 = 4.5 - 3

x = 1.5

Check:

(1.5+3) * 3  2/5 = 15  3/10

4.5 * 3  2/5 = 15  3/10

(3  2/5 = 3.4 and 15  3/10 = 15.3)

4.5 * 3.4 = 15.3

15.3 = 15.3

6 0
3 years ago
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