Wilbur and eugene are selling cheesecakes for a school fundraiser customers can buy french silk cheesecakes and apple cheesecakes wilbur sold 13 french silk cheesecakes and 12 apple cheesecakes for a total of $331 eugene sold 2 french silk cheesecakes and 3 apple cheesecakes for a total of $74 what is the cost each of one french silk cheesecake and one apple cheescake

one french silk cheesecake = $7

one apple cheescake = $20

Step-by-step explanation:

Let the cost of one french silk cheesecake be represented by a

Let the cost of one apple cheescake be represented by b.

We are told that wilbur sold 13 french silk cheesecakes and 12 apple cheesecakes for a total of $331 . This can be written as:

13a + 12b = 331 equation i

Eugene sold 2 french silk cheesecakes and 3 apple cheesecakes for a total of $74. This can be written as:

2a + 3b = 74 equation ii

13a + 12b = 331 equation i

2a + 3b = 74 equation ii

Multiply equation i by 2

Multiply equation ii by 13

26a + 24b = 662 equation iii

26a + 39b = 962 equation iv

Subtract equation iv from iii

-15b = -300

b = 300/15

b = 20

The cost of one apple cheescake is $20.

From equation ii,

2a + 3b = 74

2a + 3(20) = 74

2a + 60 = 74

2a = 74 - 60

2a = 14

a = 14/2

a = 7

The cost of one french silk cheesecake is $7.

y=-2.5x+12.5

step-by-step explanation:

5y=2x+10

y=0.4x+2

slope=-2.5

5=-2.5*3+b

b=12.5

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus