Answer: the length is 11 cm.
The width is 7 cm.
Step-by-step explanation:
Let L represent the length of the rectangular plastic box.
Let W represent the width of the rectangular plastic box.
The area of the rectangular top of the box is 77 square cm. This means that
LW = 77- - - - - - - ;- - - -1
The plastic box has a length 4 cm longer than its width. This means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
(W + 4)W = 77
W² + 4W = 77
W² + 4W - 77 = 0
W² + 11W - 7W - 77 = 0
W(W + 11) - 7(W + 11) = 0
W - 7 = 0 or W + 11 = 0
W = 7 or W = - 11
Since the width cannot be negative, then W = 7cm
L = 77/7 = 11 cm
Answer:
-23x^3+20x^4+25x^2+84x-84
Step-by-step explanation:
1 Expand by distributing sum groups.
4x^2(3x+5x^2-6)-7x(3x+5x^2-6)+14(3x+5x^2-6)
2 Expand by distributing terms.
12x^3+20x^4-24x^2-7x(3x+5x^2-6)+14(3x+5x^2-6)
3 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+14(3x+5x^2-6)
4 Expand by distributing terms.
12x^3+20x^4-24x^2-(21x^2+35x^3-42x)+42x+70x^2-84
5 Remove parentheses.
12x^3+20x^4-24x^2-21x^2-35x^3+42x+42x+70x^2-84
6 Collect like terms.
(12x^3-35x^3)+20x^4+(-24x^2-21x^2+70x^2)+(42x+42x)-84
7 Simplify.
-23x^3+20x^4+25x^2+84x-84
Answer:
6
Step-by-step explanation:
46, 48, 64, 68, 86, 84
Answer:
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Step-by-step explanation:
Given that:
Rent per day of company A = $70
Per mile charges = $0.20
Let,
x be the number of miles.
A(x) = 0.20x + 70
Rent per day of company B = $20
Per mile charges = $0.40
B(x) = 0.40x + 20
For make Company A better deal,
A(x) > B(x)
0.20x+70 > 0.40+20
0.20x-0.40x>20-70
-0.20x>-50
Dividing both sides by -0.20
Hence,
For Company A to have a better deal, the truck must be driven more than 250 miles per day.
Answer:
28,980
Step-by-step explanation:
69 x 420 = 28,980
Beatifully written story/play!!!
Very innovative and just awesome!!!
