Answer:
x = 14, y = 18
Explanation:
19x + 47y = 1000
^^^This is a Diophantine equation.
gcd (47,19) = 1
<em>1 is divisible by 1000 -> Euclidean Algorithm.</em>
47=2 (19)+9
19=2 (9)+1 (1 is the gcd )
1=19–2 (9)=19–2 [47–2 (19)=5 (19)-2 (47)
5000 (19)-2000 (47)=1000.
1000 =(5000–47)19 -(2000–19)47
=(5000–106×47)19 - (2000–106×19)47
=18×19-(-14)47
=342 +658
x = 18, y = 14
check: 14 x 47 = 658, 18 x 19 = 342, 658 + 342 = 1000.
translation:
indicate whether or not you hear the following words in the culture flash episode
you decide the answer
Answer:
¡Cierto! (true)
Explanation:
A healthy diet should include fruits, vegetables, whole grains, low-fat dairy products and lean meats. In addition to eating well, you should reduce the consumption of cholesterol, sodium, sugar and saturated fats. Along with regular exercise, a healthy diet can reduce the risk of heart problems, osteoporosis, type 2 diabetes, high blood pressure and some types of cancer.
If you are overweight, eating healthy and exercising regularly can help you lose weight safely and not recover. If you have no weight problem, physical activity and a healthy diet can help you maintain your current weight and reduce the risks of gaining weight as you get older. Healthy food is generally low in calories and high in nutrients compared to other foods, and regular physical exercise burns the extra calories to maintain a healthy physique.
