Alina bought an ice cream cone for $3. her 4 ounce scope of ice cream is melting at rate of 0.5

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

y=4-0.5x

Step-by-step explanation:

Step one:

given data

Alina bought an ice cream cone for $3

the weight of the ice cream is 4 ounce

the rate of melting is 0.5 ounce per minute

let the number of minutes taken for the ice cream to melt be x

and the weight after x minutes be y

Step two:

Hence the expression for the situation after x minutes is

y=4-0.5x

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Solve 6 - x - x = 18

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$\text{Hey there!}$

$\mathsf{Solve: 6 -x- x=18}$

$\mathsf{Combine\ your\ like\ terms}\\\mathsf{6 -\bf{x - x}\mathsf{= 18}}\\\mathsf{-x-x=-2x}\\\mathsf{Your\ new\ equation: -2x+6=18}\\\\\mathsf{Do\ the\ OPPOSITE\ symbol\ on\ both\ sides\ of\ the\ equation}\\\mathsf{Addition\ opposite\ symbol\ is\ subtraction}\\\mathsf{Subtract\ by\ 6\ on\ your\ sides}\\\mathsf{-2x+6-6=18-6}\\\mathsf{Cancel\ out{6-6\ because\ it\ gives\ us\ 0}}\\\mathsf{Keep:18-6\ because\ it\ helps\ us\solve\ for\ the\ answer}\\\\\mathsf{Next,\ divide\ both\ sides\ by\ -2}$

$\mathsf{\dfrac{-2x}{-2}=\dfrac{12}{-2}}\\\\\mathsf{Cancel\ out: \dfrac{-2x}{-2}\ because\ it\ gives\ you\ the\ result\ of 1}\\\\\mathsf{Keep:\dfrac{12}{-2}\ because\ it\ gives\ the\ answer\ of\ x}\\\\\\\boxed{\bf{Answer:\mathsf{x=-6}}}}}}}\checkmark$