Silas had 3 times as much money as Raja. Silas spent $84 of his money to buy a birthday gift for his grandma while Raja was awarded $42 for winning a competition. In the end, they had the same amount of money. How much did they have altogether at first?

Total money they had at first $252.

Step-by-step explanation:

Let,

x be the amount Silas had originally

y be the amount Raja had originally

According to given statement;

x = 3y     Eqn 1

x - 84 = y + 42    Eqn 2

Putting x=3y in Eqn 2

3y - 84 = y + 42

3y - y = 42 + 84

2y = 126

Dividing both sides by 2

Putting y = 63 in Eqn 1

x = 3(63)

x = 189

Total money they originally had = 189 + 63 = $252

Hence,

Total money they had at first $252.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

(x+3)(x+7)

step-by-step explanation: