Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
The y-coordinate of the midpoint of a line segment is the average of the y-coordinates of the endpoints of the line segment.
This is: call y1 the y-coordinate of one endpoint and y2 the y-coordinate of the other endpoint of the line segment, then the midpoint is [y1 + y2] / 2.
The method, then, is to add the two y-coordinates and divide by 2.
For the vertical line segment with endpoints (0,0) and (0,15) theprocedure is [0 + 15] / 2 = 15/2 = 7.5, and the result is 7.5
Answer:
x^4 * (1/y^2)
Step-by-step explanation:
A negative exponent is just the reciprocal of the positive version of the exponent.
We conclude that after the discount and the coupon, Will paid $36 for the skateboard.
<h3>
How much did Will pay for the skateboard?</h3>
We know that the original price was $60, and two discounts were applied. One of 20% and other of 25%.
Then the amount that he paid is given by:
P = $60*(1 - 20%/100%)*(1 - 25%/100%)
P = $60*(0.8)*(0.75) = $36
We conclude that after the discount and the coupon, Will paid $36 for the skateboard.
If you want to learn more about discounts:
brainly.com/question/843074
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