Answer:
Let F = Fran's income
Let W = Winston's income
Combined income is 80000 ==> F + W = 80000
One quarter of Winston's income is the same as one-sixth of Fran's income ==>
(1/4)*W = (1/6)*F
Multiply the 2nd equation by 12 to clear the fractions
3*W = 2*F
Solve this equation for F
F = (3/2)*W
Substitute this value for F into the 1st equation
(3/2)*W + W = 80000
(5/2)*W = 80000
W = (2/5)*80000 = 32000
So F = 80000 - 32000 = 48000
So Winston earns 32000 and Fran earns 48000
Check: One quarter of Winston's income is 32000/4 = 8000
One sixth of Fran'e income is 48000/6 = 8000
Step-by-step explanation: Hope this helps
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
Answer:
a) $654
b) 27 unidades cuadradas
c) 721
Step-by-step explanation:
a) ¿Cuál es el valor de un bolígrafo cuando la docena se compra por $ 7848?
Una docena = 12
Por eso:
12 bolígrafos = $ 7848
1 bolígrafo = $ x
Cruz multiplicar
12 bolígrafos × $ x = 1 bolígrafo × $ 7848
$ x = 1 bolígrafo × $ 7848/12
$ x = $654
b) Área de un triángulo ¿9 unidades de base y 6 unidades de altura?
Área de un triángulo =
= 1/2 × Base × Altura
1/2 × 9 × 6
= 27 unidades cuadradas
c) Cien veces la suma de 4.5 con 2.71
Esto se calcula como:
100 × (4,5 + 2,71)
= 100 × (7.21)
= 721
Answer:
A,B,D
Step-by-step explanation:
right on edge
Answer:
Step-by-step explanation:
Given [Missing from the question]
Equation:
Interval:
Required
Determine the values of 
The given expression:
... shows that the value of is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:
Take arccos of both sides
--- In the first quadrant
In the fourth quadrant, the value is:
So, the values of in degrees are:
Convert to radians (Multiply both angles by 
)
So, we have:
