There are x boys playing in the park. the number of girls playing in the park is equal to the square root of the number of boys. if the total number of boys and girls playing in the park is 42, find the number of boys. a. 36 b. 6 c. 49 d. 7

Option A. 36

Step-by-step explanation:

Let

x-------> the number of boys

y------> the number of girls

we know that

-----> equation A

-----> equation B

using a graphing tool to solve the system of equations

Remember that the solution is the intersection point both graphs

The solution is the point (36,6)

see the attached figure

therefore

The number of boys is 36

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

40 x 50 = 2000

step-by-step explanation: