2.- Al llegar a casa José comenta con su familia que ha comprado una nueva pantalla, revisa el ticket y aparece que por concepto de IVA ha
pagado $1464 ¿Cuál era el costo de la pantalla sin I. V.A.?¿Cual será el
costo de la pantalla con I. V.A.?
Porcentaje de aumento o Cantidad que aumenta o
Cantidad Original
Cantidad final
descuento
disminuye
+$ 1464
+16%​

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

Prove that the value of the expression 7^8–7^7+7^6 is divisible by 43.

Three numbers x, y, and z are in the ratio 2: 7: 8. if 12 is subtracted from y, then three numbers form a geometric sequence (in the order x, y–12, z). find x, y, and z. there are 2 sets.