Consider the nutritional content per ounce for Food​ A, B an…

Consider the nutritional content per ounce for Food​ A, B and C. Food A contains 2g of​ fat, 4g of​ protein, and 1g of fiber. Food B contains 1g of​ fat, 2g of​ protein, and 1g of fiber. Food C contains 8g of​ fat, 16g of​ protein, and 5g of fiber. Let x represent Food​ A, y represent Food​ B, and z represent Food C. How much of Food​ A, Food B and Food C can provide exactly 14g of​ fat, 27g of​ protein, and 10g of​ fiber?   Find the augmented matrix of the corresponding linear system that solves for​ x, y and z.

Police use the formula to estimate the speed s of a car in…

Police use the formula to estimate the speed s of a car in miles per​ hour, where d is the distance in feet that the car skidded and f is the coefficient of friction. If the coefficient of friction on a certain dry road is 0.81 and a car was traveling on it at a rate of 30 mph, how far will the car​ skid? (Round to the nearest​ foot.)