Mr. martin is giving a math test next period. the test, which is worth 100 points, has 29 problems. each problem is worth either 5 points or 2 points. write a system of equations that can be used to find how many problems of each point value are on the test. let x be the number of questions worth 5 points and let y be the number of questions worth 2 points.
a. x + y = 29, 5x + 2y = 100
b. x + y = 100, 5x + 2y = 29
c. 5x + y = 29, 2y + x = 100
d. 2x + y = 100, 5y + x = 29

A is correct.

Step-by-step explanation:

From the second sentence , we can deduce that the total number of problems is 29.

Now, x represents the number of problems that award 5 marks, while y represents the number of problems that award 2 marks.

Hence x + y = 29.

There are a total of 100 marks. This mean each x has a mark of 5, so total x marks equal 5x. Also, each y has a mark of 2. total y marks equal 2y. Since total marks equal 100. This mean 5x + 2y = 100 which gives our second equation.

This shows A is correct.

d

gimmee one of those gold crowns!

~coco

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)