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astraxan [27]
3 years ago
6

X - x-2/6 = x-7/3 + 2/3

Mathematics
1 answer:
elena-s [515]3 years ago
3 0
X-x-2/6=x-7/3+2/3
-2/6+7/3-2/3=x
x= -2/6+5/3
x= 8/6
x= 4/3
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Substitution method <br><br> x-7y=-9<br> -x+8y=10
max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0
3 years ago
The data to represent average test scores for a class of 16 students includes an outlier value of 78. If the mean, including the
mestny [16]

Answer:

Step-by-step explanation:

Given that The data to represent average test scores for a class of 16 students includes an outlier value of 78.

We can find sum of all 16 test scores = 84(16) = 1344

Outlier found = 78

If outlier is removed new sum = 1344-78 = 1266

Number of entries without outlier = 15

New average = 1266/12 =84.4

We find that average of new data increases.

Also whenever we remove outlier std deviation also would be reduced.

7 0
3 years ago
Read 2 more answers
Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which of the three drove the greatest distance on the trip?(1) Al
Svetach [21]

Answer:

Pablo drove the greatest distance of 527 miles.

Missing Content:

Since information on Pablo is not given, it is impossible to solve this problem. Let us assume some scenario for Pablo. Say:

(3)Pablo averaged 52.7 miles per hour and drove for 10 hours.

Step-by-step explanation:

Using this information, we can find out the data on Al,

Al drove 1 hour longer than Pablo so,

Time Al drove= 10+1 =11 hours

Average rate of Al=Pablo's average rate-5= 52.7-5 = 47.7 miles per hour.

We know that,

Average Speed = \frac{Distance}{Time}

Distance =Average Speed x Time

Distance travelled by Al = 47.7 x 11 =524.7 miles

Distance Travelled by Marsha = 50 x 9=450 miles

Distance Travelled by Pablo= 52.7 x 10= 527 miles

<u>As we can see that Pablo drove the greatest distance which is 527 miles.</u>

6 0
3 years ago
A dominant ideology is a set of cultural beliefs that help to maintain powerful social, economic, and political interests. a sub
vodomira [7]

Step-by-step explanation:

A dominant ideology is a set of cultural beliefs that help to maintain powerful social, economic, and political interests. In dominant ideology voter are influenced by dominant groups and institutions of the society. At the end it these dominant groups that are benefited.

All other options are irrelevant with respect to dominant ideology.

5 0
3 years ago
A supermarket had bags of red grapes for $13.00 for 5 bags. They also had bags of green grapes priced at $5.08 for 2
boyakko [2]

Answer:

Green grapes are less expensive.

Step-by-step explanation:

5.08/2 = 2.54

Multiply that by 5

You get $12.70 for 5 bags.

6 0
3 years ago
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