Answer:
n = 5.75
Step-by-step explanation:
original equation
n - 31/4 = 2
multiply everything by 4
n * 4 - 31/4 * 4 = 2 * 4
simplify
4n - 31 = 8
add 31 to both sides
4n - 31 + 31 = 8 + -31
simplify
4n = -23
divide both sides by 4
4n/4 = -23/4
simplify
n = 5.75
Latitude and longitude or go old school and use a map and protractor
Taking x as the number to be found,
x=32a+30=58b+44 where a and b are the quotients you get on dividing x by 32 and 58.
Simplifying this equation you get 16a+15=29b+22
16a= (16+13)b+22-15 or 16a=16b+13b+7
16(a-b)=13b+7
Now I have to find a value for b where 13b+7 is divisible by 16. The least common multiple of these numbers can be found by
going through the multiplication tables of 13 and 16 and 13x13+7=176,
while 16x11 is also 176.
Now that the value of b is found to be 13, we can substitute it in our first equation, x=58b+44=58x13+44=798.
Now find the least common multiple of 58 and 32
LCM (n,m)=nm/GCD (n,m) where GCD is the greatest common divisor of n and m
LCM (58, 32)=58x32/2 as 2 is the GCD of 58 and 32
LCM (58, 32)= 1856/2= <em>928</em>
Add this LCM to the previous answer, ie, 798 to get the next answer in the series. 798+928=1726
Add the LCM again to the last answer to get the final answer, that is less than 3000=1726+928=2654
Answer:
76
Step-by-step explanation:
Answer:
El precio del saco del azúcar es de 72.
Step-by-step explanation:
Sean , los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:
(i) <em>El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3</em>:
Aquí se menciona una igualdad entre expresiones racionales, es decir:
(1)
(ii) <em>El producto de ambos precios es numéricamente 3456</em>:
(2)
Ahora resolvemos el sistema de ecuaciones, despejamos en (1):
Y la aplicamos en (2):
El precio del saco del azúcar es de 72.