Abox contains both cubes and five-sided pyramids. the total number of objects in the box is 17. the total number of sides for the cubes and pyramids is 95. how many cubes are in the box?

Answer with Step-by-step explanation:

We know that number of sides in cube=6

and number of sides in pyramid=5

Let there be c cubes and p pyramids.

The total number of objects in the box is 17.

⇒ c+p=17

⇒ p=17-c

The total number of sides for the cubes and pyramids is 95.

⇒ 6c+5p=95

⇒ 6c+5(17-c)=95

⇒ 6c+5×17-5c=95

⇒ c+85=95

⇒ c=95-85

⇒ c=10

Hence, number of cubes in box are:

10

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: