Drag each tile to the correct cell in the table. Ari has a total of 22 coins consisting of pennies and nickels. The total value of the coins is $0.54. How many pennies does he have? Let p represent the number of pennies. Complete the table to organize this information.

HELP ASAP

Ari has 14 pennies.

Step-by-step explanation:

                           Number             Value             Total value

Pennies                  p                      $0.01                  0.01p  

Nickels               (22 - p)                $0.05             $(22 - p)0.05  

Total                       22                        -                      $0.54

Since Ari has total value of the coins = $0.54

0.01p + (22 - p)0.05 = 0.54

0.01p - 0.05p + 1.1 = 0.54

-0.04p = -0.56

p =

p = 14

Therefore, total number of pennies Ari has = 14

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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