Renee is in charge of the school carnival for 380 students. she has 47 boxes of prizes. each box has 22 prizes. she wants to make sure she has enough prizes for each student to win 2 prizes. does renee have enough prizes? explain how you solved your problem.

Hello mate!

There are 380 students, and Renee wants to make sure that she has enough prizes for each student to win 2 prizes.

Then she needs at least 2*380 = 760 prizes.

We know that she has 47 boxes whit 22 prizes each, then the total number of prizes that she has is:

47*22 = 1034

Then she has more prizes than the 760 needed, so she has enough prizes.

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

- "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."