answer:We are given the equation: 3 begin{pmatrix} 2 -8 end{pmatrix} - 2 begin{pmatrix} X -7 end{pmatrix} = begin{pmatrix} 4 -10 end{pmatrix} To find the value of X, we can compare the corresponding components of both sides of the equation. For the first component: 3(2) - 2(X) = 4 Simplifying, we have: 6 - 2X = 4 Subtracting 6 from both sides of the equation, we find: -2X = -2 Dividing both sides of the equation by -2, we get: X = 1 The value of X is 1. The answer is: 1

answer:Julia purchased 3 packs of red balls, so she bought 3 * 19 = 57 red balls. She also purchased 10 packs of yellow balls, so she bought 10 * 19 = 190 yellow balls. And she purchased 8 packs of green balls, so she bought 8 * 19 = 152 green balls. Therefore, Julia bought a total of 57 + 190 + 152 = 399 balls. 399 The answer is: 399

answer:To solve this problem, we need to determine the value of x, which represents the population of New England. We know that New York is two-thirds as populated as all of New England. Therefore, the population of New York is (2/3)x. The combined population of both states is given as 3500000. We can set up the equation as follows: Population of New England + Population of New York = Combined population of both states x + (2/3)x = 3500000 Let's simplify and solve for x: (3/3)x + (2/3)x = 3500000 (5/3)x = 3500000 To isolate x, we multiply both sides of the equation by 3/5: (5/3)x * (3/5) = 3500000 * (3/5) x = 2100000 The value of x is 2100000. 2100000 The answer is: 2100000

answer:If one of Gordon's bags weighs three pounds and the other weighs seven pounds, then the total weight of Gordon's bags is 3 + 7 = 10 pounds. If Trace's five shopping bags weigh the same amount as Gordon's two shopping bags, then each of Trace's bags weighs 10 / 5 = 2 pounds. Therefore, the weight of one of Trace's shopping bags is 2 pounds. 2 The answer is: 2