Joelle currently has 18 rocks in her collection and gains 4 each week. Lewis currently has 30 rocks in his collection and gains 3 each week. Set up a system of equations to show how many rocks each has in their collection.(6 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. a) Joelle has y = Response areax + Response area b) Lewis has y =
a) Joelle has y = 18 + 4x
b) Lewis has y = 30 + 3x
a) Joelle has y = 18 + 4x
b) Lewis has y = 30 + 3x
a) Joelle has y = 18 + 4x
b) Lewis has y = 30 + 3x
After how many weeks will Joelle and Lewis have the same number of rocks in their collections? Response area weeks
To find the number of weeks when Joelle and Lewis will have the same number of rocks in their collections, we need to set the two equations equal to each other and solve for x:
18 + 4x = 30 + 3x
By subtracting 3x from both sides:
18 + x = 30
By subtracting 18 from both sides:
x = 12
Therefore, Joelle and Lewis will have the same number of rocks in their collections after 12 weeks.
) How many rocks will Joelle and Lewis have when the amount of rocks in their collection is equal? They will each have Response area rocks in their collection.
To determine the number of rocks that Joelle and Lewis will have when the amount of rocks in their collection is equal, we can substitute the value of x (12) into either of the equations.
Let's use Joelle's equation:
y = 18 + 4x
Substituting x = 12:
y = 18 + 4(12)
y = 18 + 48
y = 66
Therefore, when the number of rocks in their collection is equal, Joelle and Lewis will each have 66 rocks in their collection.
Not including tax, a total of 19 pens and markers cost $11.50. The pens cost $0.25 each, and the markers cost $0.75 each. Write the system of equations that could be used to solve for the number of pens, p, and the number of markers, m, bought.(4 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. p + m = Response area Response area p + Response area m =
p + m = 19
0.25p + 0.75m = 11.50