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Likurg_2 [28]
3 years ago
5

The sum of six times a number and nine is equal to the difference of the number and eleven. Find the number. Round your answer t

o the nearest integer, if necessary.
Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0

Suppose the number in this case to be n.

According to the statement given, six times of number would be 6n

and

the sum of 6 times the number (6n) and nine would be ---> 6n + 9

is equal to the difference of the number (6n) and eleven ---> n - 11.

So, the final equation becomes:

6n + 9 = n - 11

Solving this, place both the values of n on one side and the numbers on the other side but do not forget to change the sign of the value that you change the side of.

6n - n = -11 -9 (here we changed the signs of positive n to -n and positive 9 to -9 because we changed their sides)

5n = -20

n = -20/5

n = -4

storchak [24]3 years ago
3 0

the equation would be 6*n+9=n-11

the answer is -4

i think

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Step-by-step explanation:

4 0
3 years ago
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Help please with algebra problem
Strike441 [17]
Number of weekend minutes used: x
Number of weekday minutes used: y

This month Nick was billed for 643 minutes:
(1) x+y=643

The charge for these minutes was $35.44
Telephone company charges $0.04 per minute for weekend calls (x)
and $0.08 per minute for calls made on weekdays (y)
(2) 0.04x+0.08y=35.44

We have a system of 2 equations and 2 unkowns:
(1) x+y=643
(2) 0.04x+0.08y=35.44

Using the method of substitution
Isolating x from the first equation:
(1) x+y-y=643-y
(3) x=643-y

Replacing x by 643-y in the second equation
(2) 0.04x+0.08y=35.44
0.04(643-y)+0.08y=35.44
25.72-0.04y+0.08y=35.44
0.04y+25.72=35.44

Solving for y:
0.04y+25.72-25.72=35.44-25.72
0.04y=9.72

Dividing both sides of the equation by 0.04:
0.04y/0.04=9.72/0.04
y=243

Replacing y by 243 in the equation (3)
(3) x=643-y
x=643-243
x=400


Answers:
The number of weekends minutes used was 400
The number of weekdays minutes used was 243
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E
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Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

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