Answer:
Step-by-step explanation:
We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10.
Let x be the distance in miles between airport and Ann's home. The fare per mile taxi ride is $2.10, therefore, the fare for x miles of taxi ride will be 2.10x.
We can see that $5 will be constant value for our equation as it will remain same. 
will be total amount paid by Ann for x miles of taxi ride including tip.
We can write an equation to determine the distance between airport and Ann's home by equating fare of x miles plus tip given by Ann's to driver with total amount paid by Ann.
Therefore, an equation representing the distance in miles between airport and Ann's home will be .
The equations are:
x + y = 200
x = y - 40; substituting x from this equation to the first:
y - 40 + y = 200
2y = 240
y = 120
Corresponding value of x:
x = 120 - 40
x = 80
The solution to this system is (80, 120)
Answer:
The area of the square is 25
.
Step-by-step explanation:
In the given square, the length of the side = 5d.
Area of a square = side × side
Given: Side = 5d
Now plug in side 5d in the above area formula, we get
Area of the square = 5d × 5d
= 25
Therefore, the answer is 25.
Answer:
a = 3, b = 5
Step-by-step explanation:
Given
x² - 6x + 4 = 0 ( subtract 4 from both sides )
x² - 6x = - 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = - 4 + 9
(x - 3)² = 5 ( take the square root of both sides )
x - 3 = ± 
( add 3 to both sides )
x = 3 ± ← in the form a ± 
with a = 3 and b = 5
Tenemos que
la capacidad del frasco es igual a 3/8 de litro
cuatro litros y medio es igual a decir 4 1/2 litros----> (4*2+1)/2----> 9/2 litros
realizamos una regla de tres
si un frasco tiene capacidad para--------------> 3/8 litros
X frascos-----------------------------------------> para 9/2 litros
X=(9/2)/(3/8)--------> 72/6-----> 12 frascos
la respuesta es
12 frascos
