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.

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .