Karmen purchased eight cookies and three chocolates for a total of $11.35. Marcus purchased three cookies and five chocolates for a total of $6.00. What is the price of one cookie and the price of one chocolate?

cookie $1.25

chocolate $0.45

Step-by-step explanation:

x=cookie y=chocolate

8x+3y=11.35

3x+5y=6

40x+15y=56.75

9x+15y=18

40x-9x=56.75-18

x=1.25

y=0.45

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680