Answer:
C=$(4.30xy+5.40(xz+yz))
Step-by-step explanation:
Surface Area of a Cuboid=2(LW+LH+HW)
Since the top is open
Surface Area = LW+2(LH+HW)
If Length = x feet,
Width =y feet
Height = z feet
Surface Area = xy+2(xz+yz)
Area of the base=xy
If it costs $4.30 per square foot to build the base
Cost of the base=Cost Per Square Foot X Area = $4.30xy
Area of the sides =2(xz+yz)
If it costs $2.70 per square foot to build the sides
Cost of the sides=Cost Per Square Foot X Area of the sides
= 2.70 X 2(xz+yz)
=5.40(xz+yz)
Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.
Therefore,
C=$(4.30xy+5.40(xz+yz))
You can write a proportion because the two triangles are similar
= 
(the second fraction is longer because I added the full lengths of the larger triangle) cross multiply to get (x)(x + 1 + x - 2) = (x - 2)(x + x + 5)
which simplifies to (x)(2x - 1) = (x - 2)(2x + 5)
then 2x² - x = 2x² + 5x -4x - 10
then 2x² - x = 2x² + x - 10
then 2x² = 2x² + 2x - 10
subtract 2x² from both sides to get 0 = 2x - 10
add 10 to both sides to get 10 = 2x
divide both sides by 2 to get 5 = x
Answer:
x = 45.25 and 2x + 9.50 < 100
Step-by-step explanation:
Okay, so I dont know if you want am explanation but here I go
if for each game shipping is 4.75, you multiply by 2 to find the total there, hence 9.5.
and you dont want to go over $100, so the amount you spent has to be less then $100
and you're going to buy 2 games, x stands for the price.
2x + 9.50 < 100
2x < 90.5 (i just subtracted 9.5 on each side)
2/2x = 90.5/2
x = 45.25
Answer:
Complete the table :
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41 70
Does not like burritos 81 54 135
Total 110 95 205
54 do not like both hamburgers and burritos
Hence % = (54/205) * 100 = 26.34 %
marginal relative frequency of all customers that like hamburgers
= 110/205
= 22/41
Step-by-step explanation:
