Answer:
One Solution
Explanation:
7(y + 3) = 5y + 8
Simplify both sides of the equation
7(y + 3) = 5y + 8
(7)(y) + (7)(3) = 5y + 8 (Distribute)
7y + 21 = 5y + 8
Subtract 5y from both sides
7y + 21 − 5y = 5y + 8 − 5y
2y + 21 = 8
Subtract 21 from both sides
2y + 21 − 21 = 8 − 21
2y = −13
Divide both sides by 2
2y = −13
2y / 2 = -13 / 2
y = -13 / 2
-13 / 2 = -6.5
y = -13 / 2 or -6.5
Answer:
-69
Step-by-step explanation:
;)
Answer: 3060 ft^2
Step-by-step explanation:
We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.
For the rectangular prism:
SA= Ph + 2B
P = 36+36+10+10
P = 92
B = 36*10 = 360
SA = 92*20+2*360
SA = 1840+720
SA = 2560
We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360
Now for the triangular prism:
SA= Ph + 2B
P = 15+20+25
P = 60
B = 15*20/2
B = 150
SA = 60*10+2*150
SA = 600+300
SA = 900
Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700
Therefore, the total surface area = 2360+700 = 3060 ft^2
Answer:
a. 85.5 sq ft
b. 3 bottles
Step-by-step explanation:
a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.
The area of a rectangle is given as:
A = L * B
where L = length and B = breadth
Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:
A = 14 1/4 * 6
A = 57 / 4 * 6 = 85.5 sq feet
He needs to paint 85.5 sq feet of the cardboard.
b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:
85.5 / 40 = 2.14
Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.
To paint the entire cardboard, he must have 3 bottles of paint.
