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irga5000 [103]
2 years ago
8

How do you solve the equation 2/7m-1/7=3/14

Mathematics
1 answer:
photoshop1234 [79]2 years ago
8 0
Add 1/7 to both sides to get 2/7m=3/14+1/7 find common denominater (14) so multipy 1/7 by 2 to get 2/14 than add that to 3/14 to get 5/14 than take 2/7 and 5/14 turn into a decimals than divide the 2/7 on both sides to get m=?
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Solve the inequality. Using a verbal statement, in simplest terms, describe the solution of the inequality. Be sure to include t
rodikova [14]
-2x + 3 > 3(2x - 1)

the inequality sign > means 'greater than'.

First simplify the right side of the equation by distributing the 3 over the parentheses:-

-2x + 3 > 6x - 3

Now add -6x to both sides of the inequality  which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6

The next step is to divide  both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide  the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes  less than (<):-

-8x / -8 < -6/-8

x <  3/4  is your answer.
7 0
2 years ago
Every year the United States Department of Transportation publishes reports on the number of alcohol related and non-alcohol rel
Damm [24]

Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

17,209

Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.

The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

From the graph:

Year - - - - - - - - - - Number of fatalities

2001 - - - - - - - - - - 17401

2002 - - - - - - - - -  17525

2003 - - - - - - - - -  17013

2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

2006 - - - - - - - - - 17738

To get the average :

Sum of fatalities / number of years

(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6

= 103256 / 6

= 17209.333

Average number of alcohol related fatalities is 17,209 (to the nearest whole number)

6 0
2 years ago
What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)
alexandr1967 [171]
Is 12 I think so !! try it
5 0
2 years ago
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t
pentagon [3]

Answer:

P(R\ and\ B) = 0.0256

Step-by-step explanation:

Given

Red = 22

Yellow = 38

Green = 20

Purple = 28

Blue = 26

Orange = 16

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

P(R\ and\ B) = P(R)\ and\ P(B)

This is then solved further as:

P(R\ and\ B) = P(R)\ *\ P(B)

P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}

P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}

P(R\ and\ B) = \frac{22*26}{150*149}

P(R\ and\ B) = \frac{572}{22350}

P(R\ and\ B) = 0.02559284116

P(R\ and\ B) = 0.0256

3 0
1 year ago
Statistics show that the sales force of Golden Wholesalers successfully closed 1,711 sales out of 1,950 sales calls. What was th
Arisa [49]
1711 sales out of 1950 calls. The success rate is quite impressive: 1711/1950=87.7%
8 0
2 years ago
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