A student is raising money for a local food pantry. A local business agrees to donate an additional 15% of what the student raises, while the principal of the student's school also agrees to donate 5% of what the student raises. If the student raises $380.00, how much will the food pantry receive

Answer :

$456

Step-by-step explanation:

Donation by local business :

= $57

Donation by the principal of the student's school :

= $19

The total money received by the food pantry :

$380 + $57 + $19

= $456

0.15 (380) = 57

0.05 (380) = 19

Let p = Food Pantry money in total

p = 380 + 57 + 19

p = $456

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

1; 35 is the ratio

step-by-step explanation: