3(2x+1)=2(x+1)+1
6x+3=2x+2+1
6x+3=2x+3
minus 2x
4x+3=3
minus 3
4x=0
divide by 4
x=0
her work is correct
her conclusion is wrong; there is one solution which is x=0
The sum of three consecutive odd integers is 76 less then seven times the middle number. The three integers are 17, 19 and 21 respeectively
<h3><u>Solution:</u></h3>
Since each consecutive odd integer is separated by a difference of 2
Let "n" be the first integer
n + 2 be the second integer
n + 4 be the third integer
Given that the sum of three consecutive odd integers is 76 less then seven times the middle number
Which means,
The sum of ( n, n + 2, n + 4) is equal to 76 less than seven times the middle number ( 7(n + 2))
That is,
n + n + 2 + n + 4 = 7(n + 2) - 76
3n + 6 = 7n + 14 - 76
4n = 68
n = 17
So we get:
First integer = n = 17
Second integer = n + 2 = 17 + 2 = 19
Third integer = n + 4 = 17 + 4 = 21
Thus the three consecutive odd integers are 17, 19 and 21 respeectively
9514 1404 393
Answer:
A. CCW 180° about the origin
Step-by-step explanation:
Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...
- reflection across the origin
- rotation 180° CW about the origin
- rotation 180° CCW about the origin
- reflection across the x-axis followed by reflection across the y-axis
- reflection across the y-axis followed by reflection across the x-axis.
Answer:
6
Step-by-step explanation:
The rate can be calculated as follows
x + x -16
2x-16
(2x-16)×5
10x - 80= 800
10x = 300-80
10x, = 220
x = 220/10
= 22
22-16
= 6 mph
Hence the rate of the west bound tsin is 6mph
Those are alternate interior so congruent angles,
2x + 15 = 3x
15 = x
Choice A