The combined volume of the two shapes is 3510 cubic inches.
To find the volume of each shape, use the formula: V = LWH.
The small shape is: 16 x 15 x 6 = 1350
The large shape is: 24 x 15 x 6 = 2160
Answer:
y = 8x + 15
Step-by-step explanation:
Let x represent the number of cds, and let y represent the total cost.
Since each cd is $8, we can represent the extra cost from cds with the term 8x.
And, since the membership costs $15, this cost can be represented in the equation by +15.
Put these together:
y = 8x + 15 will be the equation representing this
Answer:
x = $34.45
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
We are to determine the profit maximizing selling price ( x )
From the properties of a parabola equation of the form:
The vertex ( turning point ) or maximum/minimum point is given as:
The profit maximizing selling price of widgets would be x = $34.45.
The equation that is shown on the graph is y = x - 3, because the value of y is x - 3. :)
#1)
The area of the rectangular section in the middle is given by 15(12)=180ft².
The area to the right can be broken into a rectangle, whose area is 8(10)=80ft², and a triangle, whose area is (1/2)(5)(8)=20ft².
The area to the left can be represented as a rectangle minus a triangular area. The dimensions of the complete rectangle would be 15(5)=75ft². However it is missing a triangle at the top whose area would be (1/2)(5)(5)=12.5ft². Thus we have 180+80+20+75-12.5=242.5ft².
#2)
The area of the weight room is given by 28(30)=840ft². The area of the Dance Studio is given by 33(42)=1386. There is a corner that is counted twice, however. The area of this corner is 14(14)=196ft². Our total area is then 840+1386-196=2030ft².
