A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 poir points. If x is the number of 3-point questions and y is the number of 5-point questions, the system sho
represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
O The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
O The test contains 14 three-point questions and 10 five-point questions.
O The test contains 20 three-point questions and 8 five-point questions.

    The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

3x + 5y = 100, so:

x  - number of 3-point questions  

y - number of 5-point questions  

x + y = 24    ⇒  y = 24 - x

3x + 5y = 100

3x + 5(24-x) = 100

3x + 120 - 5x = 100

-2x = -20

  x = 10

y = 24 - 10 = 14

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

28

step-by-step explanation:

because that's the answer