Bayla enjoys using a special loom and bands to make bracelets for herself and for her friends. She has bands in 10 different colors. Bayla wants to make a bracelet that has bands in only 7 different colors. How many different combinations of 7 colors can Bayla use to make a bracelet?
Bayla made a Simple Loop bracelet for Griffin using 10 black bands and 11 red bands. For Myoko, Bayla made a more intricate Starburst bracelet using only red and black bands in the ratio 27:57. The fewest number of bands Bayla could have used to make Myoko’s bracelet is how many times the total number of bands Bayla used to make Griffin’s bracelet?
Bayla’s favorite bracelet design, the Ladder, requires a total of 76 bands. Bayla decides to use all of the bands she had previously set aside to make a Ladder bracelet to make a Simple Loop bracelet instead. She noted that a Simple Loop bracelet, made of 21 bands, measures 12.5 cm from end to end, when straightened, as shown. (Note: Bayla’s measurement does not include the clasp.)
Based on this, when Bayla’s Simple Loop bracelet, made of 76 bands, is straightened and measured from end to end, not including the clasp, what would be its length, in centimeters? Express your answer as a decimal to the nearest tenth.