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
Not sure about the summer part, but the answer should be 1 / 6. Maybe your question is wrong.
Answer:
La cantidad de dinero
Celia tiene = x = 9.33 €
Quique tiene = y = 4.67 €
Step-by-step explanation:
Representemos la cantidad de dinero
Celia tiene = x
Quique tiene = y
Entre Celia y Quique suman 14 €.
x + y = 14
x = 14 - y
Si Celia tuviera 1 euro, tendría el doble de dinero que Quique.
Por lo tanto,
x = 2 años
Nosotros sustituimos
2y + y = 14
3 años = 14
y = 14/3
y = 4.67 €
x = 14 € - y
x = 14 € - 4.67 €
x = 9.33 €
Por lo tanto,
La cantidad de dinero
Celia tiene = x = 9.33 €
Quique tiene = y = 4.67 €
9x^2+t+25=(ax+b)^2
9x^2+t+25=a^2*x^2+2abx+b^2 so
a^2=9 so a=3
b^2=25 so b=5 then
t=2ab using a and b from above
t=2*3*5=30
So the missing term is 30x