Charles is saving $5 each week. he earns an extra $15 by mowing his neighbor's lawn. write the inequality to show how to find how many weeks, w,will he need to save in order to save at least $75.

Minimum number of weeks = 4

Step-by-step explanation:

Charles earns $5 each week .Also he makes $15 each week by mowing his neighbours lawn.

Thus , in total , he earns a total of $20 each week.

We have to find the minimum number of weeks needed to make $75 .

Number of weeks required =

                                   =

                                    =3.75

Since the number of weeks, W, is an integer, choose the next highest integer.

Hence the minimum number of weeks required = 4

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'.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4