Answer:
the number is 5
Step-by-step explanation:
We have to find the equation to solve the problem.
Let the number be x
lets write one more than seven times the difference of a number and 4 in mathematical form
1. Difference of number and 4 will be written as x - 4
now
2. seven times the difference of a number and 4 will be written as
7*( x - 4)
3. one more than seven times the difference of a number and 4 is expressed as
1 + 7*( x - 4)
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1 + 7*( x - 4) is equal to twice the difference of the number and 1
4. difference of the number and 1 is x - 1
5. twice the difference of the number and 1 is 2*(x-1)
Thus,
1 + 7*( x - 4) = 2*(x-1)
=> 1 + 7x - 28 = 2x -2
=> 7x - 27 = 2x - 2
adding 27 both sides
=> 7x - 27 + 27 = 2x - 2 + 27
=> 7x = 2x + 25
subtracting 2x from both sides
7x -2x = 2x + 25 - 2x
=> 5x = 25
dividing both side by 5
5x/5 = 25/5
x = 5
Thus, the number is 5 answer
Answer:
3x + 1y = $163
2x + 3y =$174
Step-by-step explanation:
Adult tickets to space amusement park cost x dollars children’s tickets cost y dollars.
Henson family bought 3 adults and 1 child's tickets for $163
x + y = 163
3x + 1y = 163
The Garcia family bought 2 adults and 3 child’s ticket for $174.
x + y = $174
2x + 3y = $174
Therefore the equations representing both families cost are
Henson family
3x + 1y = $163
Garcia family
2x + 3y = $174
The mixed number is a fraction so the question is not able to be solved.
Hope this helps.
<span> Slope = 1.000/2.000 = 0.500 x-intercept = -6/1 = -6.00000<span> y-intercept = 6/2 = 3</span></span>
