The answer is: " 2 oz. " . (Assuming that EACH egg weighs the <em><u>sam</u></em><u></u><em><u></u></em><u></u><em><u>e</u></em>). ___________________________________________________________ Explanation: _______________________________________________________ Divide "1.5 lb" (that is, "1.5 pounds") ; {Note: "lb." = the abbreviation/symbol for weight in pounds}. __________________________________________________________ by "12" (note: "one dozen" of anything equals "12") ; to find the weight of one egg in "pounds" (lb.); This is assuming that EACH INDIVIDUAL EGG WEIGHS THE SAME AMOUNT. Then we convert this value (weight of one egg, in pounds); to: "weight of one egg in OUNCES (abbreviation = "oz.").
→ Note the exact conversion: 16 oz. = 1 lb. __________________________________________________ So; (⅛ lb) * (16 oz / 1 lb)
= (⅛ * 16) oz = (⅛ * ¹⁶⁄₁ ) oz. = ⁽¹ * ¹⁶ ⁾ ⁄₍₈ ₓ ₁₎ oz = ¹⁶⁄₈ oz = 2 oz. ______________________________________________________ The answer is: Each egg weighs 2 oz. (assuming that EACH eggs weighs the same.). ______________________________________________________ To check our work: Is our answer: "2 oz." (weight) per egg; reasonable?? _____________________________________________________________ Note: We have a dozen of eggs (quantity of "12"). The total weight (in "lb.", or "pounds", is "1.5 lb". (given in our problem). Since, 16 oz. = 1 lb. (exact conversion); let us convert the given "1.5 lbs" into oz.;
1.5 lb. * (16 oz / 1 lb) ; = (1.5 * 16) oz. = 24 oz.
2 oz. (weight) per egg * 12 eggs = 24 oz. . 24 oz. =? 24 oz. ? Yes! So our answer seems very reasonable! ______________________________________________________
To find the value of c to make the line pass through the point K = (2, -3), we just need to use the values of x = 2 and y = -3 in the equation, then we find the value of c.
So, we have that:
y - 1.5*x = c
(-3) - 1.5 * (2) = c
-3 - 3 = c
c = -6
So the value of c is -6
To check if the value is correct, we can use the value x = 2 and see if the value of y is -3:
