There are 23 animals in the barn. Some are geese and some are cows. There are 80 legs in all. How many of each animal are there?

17 cows and 6 geese

Step-by-step explanation:

1. set up two equations:

C + G = 23 (number of cows and geese = total number of animals)

4C + 2G = 80 (cows have 4 legs, geese have 2 legs and the total # of legs is 80)

2. 2(C+G)=2(23) ===> 2C + 2G = 46

3. subtract 4C + 2G = 80 and 2C + 2G = 46 to equal 2C=34, divide by 2 and C=17 (17 cows)

4. apply 17 back to the original (C + G = 23) equation to get: 17 + G = 23, subtract 17 from 23 and G=6 (6 geese)

i hope the way i explained it was clear! :)

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

2.2°  

step-by-step explanation:

let θ = the angle of elevation.

tanθ =77/2020

tanθ = 0.038 12

      θ = tan⁻¹0.038 12

      θ = 2.2°