12a)
5x + 45 + 3x - 25 = 180
8x + 20 = 180
8x = 160
x = 20
12b)
2x - 5 = 2(20) - 5 = 40 - 5 = 35
3x - 25 = 3(20) - 25 = 60 - 25 = 35
y = 180 - (35+35)
y = 180 - 70
y = 110
Hey there! I'm happy to help!
Let's call our fraction x.
x=3.777......
We want to get rid of the repeating stuff. If we multiply our fraction by 10, we get 10x=37.7777.
We see that if we subtract x from 10x, the repeating numbers will be cancelled out. Let's do this.
10x=37.7777
-
x=3.77777
=
9x=34
We divide both sides by 9.
x=34/9=3 7/9.
Have a wonderful day! :D
Since you know that there was 96 total bracelets and Jackie made them for 8 days, if you are finding how much was made each day, it is division.
96/8=the number of bracelets made each day
If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
=
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.