Victor and his cousin are playing a game where they pick up colored sticks. Victor currently has 26 points and likes to pick up the purple sticks, earning 7 points every turn. His cousin just lost all his points on the previous turn, and has a strategy to catch up by getting all the red ones, earning 20 points per turn. In a certain number of turns, the score will be tied. How many points will they each have? How long will that take? Victor and his cousin will each have__ points in __turns.

They each will have 20 points

it will take 2 turns

Victor and his cousin will each have 20 points in 2 turns

Step-by-step explanation:

let the number of turns it will take be x

In x turns, the number of points Victor will have is;

26 + 7(x) = 26 + 7x

In x turns, the number of points the cousin will have is:

20 * x = 20x

so we can get x from here;

20x = 26 + 7x

20x-7x = 26

13x = 26

x = 26/13

x = 2

In two turns, the number of points will be 20(2) = 40 points

It will take 2 turns

Victor and his cousin will each have 40 points in 2 turns

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.