Esteban's grandmother asked him how many children were on his soccer team. Since he knows that his grandmother loves a challenge, he replied, "After last Saturday's game, all of the children on my team exchanged high-fives with each of their teammates. When they were done congratulating each other, 150 high-fives had taken place." Esteban's grandmother replied that he must be mistaken. Esteban replied, "Oh, you're right! I transposed my digits. There were actually 105 high-fives."

its c or d   take a lucky guess my dude

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.