Substitute the given values into the formula for area of a rectangle.
area = length*width
area = (4x^2)*(x +6)
Use the distributive property to eliminate parentheses.
area = 4x^3 +24x^2
Oooooooonnnnnneeeeeeeemmmmmmmmiiiiilllllllliiiiieeee
Answer:
Step-by-step explanation:
let the Cookie Dough kit be x
and Baker’s Delight kit be y
cost of Cookie Dough kit= $7
cost of Baker’s Delight= $15
so
x+y=220------------1
7x+15y=2100------2
solve for x and y we have
multiply eqn 1 by 7 and subtract
7x+7y=1540---------3
- 7x+15y=2100-------2
0x-8y=-560
8y=560
divide both sides by 8 we have
y=560/8
y=70
put y=70 in eqn 1 we have
x+70=220
x=220-70
x=150
x=220-70
x=150
A. How many of each type of kit should your band purchase to raise the most money
Cookie Dough kit= 150
Baker’s Delight= 70
B. What is the most money that your band can raise?
Cookie Dough kit profit= selling price-cost price= 12-7= $5
Baker’s Delight profit= selling price-cost price= 25-15= $10
Amount made for Cookie Dough = 150*5=$750
Amount made for Baker’s Delight = 70*10=$700
total= 750+700= $1450
y = -5x + 24
y = 4x - 21
Since both of these equations are equal to Y, theyre equal to each other.
So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.
-5x + 24 = 4x - 21
Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:
-5x + 24 - 24 = 4x - 21 - 24
-5x = 4x - 45
Now we subtract 4x from both sides so the 4x shift to the other side
-5x - 4x = 4x - 4x - 45
-9x = -45
Finally divide both sides by -9 so x is by itself
(-9)÷(-9x) = -(45)÷(-9)
x = 5
Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.
Now apply x = 5 to either of the initial equations to find the value of Y
y = -5x + 24 or y = 4x - 21
(I'll do both but u only need one)
y = -5(5) + 24
y = -25 + 24
y = -1
y = 4(5) - 21
y = 20 - 21
y = -1
Either way, X is 5 and Y is -1
Answer (5, -1)
Answer:
a. the ratio of the sides is 6: 8, or 3:4
b. the ratio of the surfaces is 
or 9:16, the square of the ratio of the sides.
c. the ratio of the volumes is 
or 27:64, the cube of the ratio of the sides.
