The sum of two numbers is 27. One number is 2 times as large as the other. What are the numbers? Larger number:
Smaller number: ​

Let x be the larger number, and y be the smaller number.  

The sum of two numbers is 27. So the equation would be:

x+y=27

The larger number is 3 more than the smaller number. So:  

larger number = smaller number + 3  

or  

x=y+3

Now, we want to get rid of x and solve for y first. Since x=y+3, we can substitute y+3 for x in the equation x+y=27.  

Therefore:

(y + 3) + y = 27  

Combine like terms:

2y + 3 = 27  

Subtract 3 on both sides:

2y = 24  

Divide both sides by 2:

y = 12  

So the smaller number is 12. The larger number is 3 more than the smaller number, so:  

x = 12 + 3

x = 15  

The 2 numbers are 12 and 15. Check:  

12 + 15 = 27

I'm not 100% sure of which equation so I used both.

Step-by-step explanation:

a + b = 27

20 + 7 = 27

(a × 2) + b = 27

(6.75 × 2) + 13.5 = 27

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

both the histogram and the stem and leaf plot will visually show how many shoppers were of various ages within each range of data.   the histogram does not give us the specific ages of these shoppers unlike the stem and leaf plot.a histogram does not give us a true range of the data because we do not know exactly how old the shoppers were. a stem and leaf plot will give exact ages, so we can determine the exact range along with all measures of center and the others measures of center.   with the histogram, we cannot find any of these.

step-by-step explanation: