Uncle eddie asked mckenna and lara to order 54 new wheels for the 21 skateboards and bicycles in his repair shop. how many bicycles and how many skateboards are in uncle eddies shop? to solve this problem you need to find the values of two different variables and represent two related conditions in the situation. what are the variables whose values you need to find

There are 6 skateboards and 15 bicycles.

Step-by-step explanation:

Consider the provided information.

Let x is the number of skateboards and y is the number of bicycles in his repair shop.

Uncle Eddie asked McKenna and Lara to order 54 new wheels for the 21 skateboards and bicycles in his repair shop.

There are 21 skateboards and bicycles in his repair shop.

......(1)

Each skateboard has 4 wheels, for x skateboards he needs 4x wheels, each bicycle has 2 wheels, for  y bicycles he needs 2y wheels. In total there should be ordered 54 wheels, so

Substitute the value of x in above equation.

Substitute the value of y in equation 1.

Hence, there are 6 skateboards and 15 bicycles.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be