Answer:
La edad actual de Beatriz es de:
30 años
Step-by-step explanation:
Planteamiento:
5e = 4b
(e+3) + (b+3) = 60
e = edad actual de José
b = edad actual de Beatriz
Desarrollo:
de la segunda ecuación del planteamiento:
e + b + 6 = 60
e + b = 60 - 6
e + b = 54
e = 54 - b
sustituyendo este último valor en la primer ecuación del planteamiento:
5(54-b) = 4b
5*54 + 5*-b = 4b
270 - 5b = 4b
270 = 4b + 5b
270 = 9b
b = 270/9
b = 30
e = 54 - b
e = 54 - 30
e = 24
Comprobación:
5e = 4b
5*24 = 4*30 = 120
Answer:
P = 12x +32
Step-by-step explanation:
The perimeter is found by using the formula
P =2(l+w)
We know the length and the width
P = 2(x+4 + 5x+12)
Combine like terms
P = 2(6x+16)
Distribute
P = 12x +32
Answer:
11/61
Step-by-step explanation:
cos b = adj side/hypotenuse
=11/61
Answer:
a₆ = 12
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂ = 5 and a₁₀ = 19 , then
a₁ + d = 5 → (1)
a₁ + 9d = 19 → (2)
Subtract (1) from (2) term by term to eliminate a₁
8d = 14 ( divide both sides by 8 )
d = 1.75
Substitute d = 1.75 into (1)
a₁ + 1.75 = 5 ( subtract 1.75 from both sides )
a₁ = 3.25
Then
a₆ = 3.25 + 5(1.75) = 3.25 + 8.75 = 12
