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Step-by-step explanation:
Tyler has 7 dimes and 36 quarters.
<u><em>Explanation</em></u>
Suppose, the number of dimes is
As the number of quarters is eight more than four times the number of dimes, so the number of quarters 
Value of one dime is $0.10 and value of one quarter is $0.25
Given that, total value of all dimes and quarters is $9.70
So, the equation will be....

So, the number of dimes is 7 and the number of quarters 
Let the first number be x.
Therefore second number is (x+2).
Therefore third number is (x+4).
Therefore forth number is (x+6).
Hence,
(x+x+2+x+4+x+6+x+8)/4 = 15
(4x+12)/4 = 15
x+3 = 15
x = 12
So,
The number is 12, 14, 16, 18.
Hope it helps : )
Answer:
Se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.
Step-by-step explanation:
De acuerdo con el enunciado,
es la cantidad mínima de artículos a un precio de
. Además, los ingresos totales deben ser de un mínimo de 1200. En consecuencia, tenemos el siguiente sistema de ecuaciones:
(1)
(2)
Aplicando (2) en (1), tenemos la siguiente ecuación polinómica:


(3)
Por la Fórmula de la Cuadrática tenemos las raíces del polinomio:
, 
De acuerdo con el resultado anterior, se debe vender un mínimo mensual de 40 artículos para tener un ingreso mínimo de 1.200 dólares.
Answer:
2/5
Step-by-step explanation:
To get the ratio as a pure number, it must be expressed as the quotient of two values that have the same units. For the purpose here, it is convenient to convert both values to units of seconds.
__
<h3>units conversion</h3>
The conversion factor between minutes and seconds is ...
1 minute = 60 seconds
Multiplying this equation by 3 gives ...
3 minutes = 180 seconds
__
<h3>ratio of interest</h3>
Then the desired ratio is ...
(72 seconds)/(3 minutes) = (72 seconds)/(180 seconds) = 72/180
= (36×2)/(36×5)
= 2/5
The ratio in its simplest form is 2/5.