Answer:
Step-by-step explanation:
Since the cost is $100 for deposit and $200 per hour, the function rule to find the total cost of renting the theatre for 'n' hours will be:
= 100 + 200(n)
= 100 + 200n
The total cost if you rented the theatre for 4 hours will be gotten by replacing n with 4. This will be:
= 100 + 200n
= 100 + 200(4)
= 100 + 800
= $900
Answer:
x = the first mystery number = 2
y = the second mystery number = 0.8
Step-by-step explanation:
Let
x = the first mystery number
y = the second mystery number
8*x + 10*y = 24
8x + 10y = 24
7*x + 10*y = 26
7x + 10y = 26
8x + 10y = 24 (1)
7x + 10y = 26 (2)
Subtract (1) from (2) to eliminate y
8x - 7x = 26 - 24
x = 2
Substitute x = 2 into (1)
8x + 10y = 24 (1)
8(2) + 10y = 24
16 + 10y = 24
10y = 24 - 16
10y = 8
y = 8/10
y = 0.8
x = the first mystery number = 2
y = the second mystery number = 0.8
Answer:
En el curso anterior había 430 alumnos.
Step-by-step explanation:
El curso tiene 473 alumnos. Nos dicen que respecto al curso anterior se ha producido un aumento de inscripciones del 10 %. Entonces, siendo x la cantidad de alumnos que había en el curso anterior, se puede plantear la ecuación:
x + 0.1*x= 473
Resolviendo se obtiene:
1.1*x=473
x= 473 ÷1.1
x= 430
<u><em>En el curso anterior había 430 alumnos.</em></u>
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
Answer:
The prime factors of 168 are 2, 3, and 7.
Step-by-step explanation:
