Astudent missed 10 problems on a history test and received a grade of 17%. if all the problems were of equal value, how many problems were on the test?

12 problems

Step-by-step explanation:

All problems were of equal value

Let x be the number of problems in the test

We apply a rule of three

x  100%

(x-10) 17%

(x-10)*100%/(x)   = 17%

(x-10)/(x)   = 0.17

(x-10)   = 0.17*x

0.83*x = 10

x = 12.05

x = 12 problems

for finding the midpoint of any given 2 pair of points simply add the respective x coordinates with other x coordinate and the y coordinate with other y coordinate and divide them by 2

in your question it will be :

(3+1)/2 for the x coordinate of mid point i.e 2

[8+(-4)]/2 for the y coordinate of midpoint i.e 2

so coordinates of mid point of points (3,8) and (1,-4) will be (2,2)

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42