Acake recipe suggests a cooking temperature of 325 °f if the batter is less than one inch thick and 350 °f if the batter is more than one inch thick. if the cake batter has a volume of 110 in3 and your cake pan is 9 inches by 11 inches, what does the oven need to be set at if the oven temperature settings are in degrees celsius? (round to nearest whole number) a) 140 °c b) 163 °c c) 177 °c d) 190 °c

Answer C

the shape of cake pan is usually cuboid

volume of cuboid = length * breadth * height

110 = 9 *11 * height

height = 10/9 = 1.11 inches

so, the batter is more than 1 inch thick,

the temperature required is 350 degree F or 177 degree C

x is variable or an unknown value to find

example:

2x = 5 which means x = 3

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3