The Johnsons and the Wilsons went to the Burger Barn for dinner. The Johnsons bought 2 burger meals and 5 hot dog meals for $46. The Wilsons bought 5 burger meals and 2 hot dog meals for $52. When you solve, you get a solution of (8, 6). (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. What does the 8 mean in context? What does the 6 mean in context? Who got the better deal
The 8 represents the cost of one burger meal. The 6 represents the cost of one hot dog meal. The Wilsons got the better deal because their total cost for the meals was $52.
The 8 in context refers to the number of burger meals bought by the Wilsons. The 6 in context refers to the number of hot dog meals bought by the Johnsons. To determine who got the better deal, we need to compare the total for each family.
To understand what the numbers 8 and 6 mean in this context, we need to interpret them based on the information provided.
In this scenario, the numbers (8, 6) represent the number of burger meals and hot dog meals purchased respectively.
So, the Johnsons bought 8 meals in total, consisting of 2 burger meals and 5 hot dog meals. This means that the number 8 represents the total number of meals the Johnsons bought.
Similarly, the Wilsons bought 6 meals in total, consisting of 5 burger meals and 2 hot dog meals. Hence, the number 6 represents the total number of meals the Wilsons bought.
To determine who got the better deal, we need to compare the prices they paid. The Johnsons spent $46 for their meals, while the Wilsons spent $52. Thus, the Johnsons got the better deal as they spent less money for their meals.
Both of these tables represent linear graphs: Does the line through the first set of points intersect with the line through the second set of points? (1 point) Responses No…these lines are parallel No…these lines are parallel Yes…these lines are not parallel nor perpendicular Yes…these lines are not parallel nor perpendicular Yes…these lines are parallel Yes…these lines are parallel Yes…these lines are perpendicular Yes…these lines are perpendicular No…these lines are perpendicular No…these lines are perpendicular You cannot tell without a graph
You cannot tell without a graph.
the first graph goes x -3 x -2 x - 1 x 0 x 1 x 2 x 3 x 4 y 8 y 10 y 12 y 14 y 16 y 18 y 20 y 22
the second graph goes x - 3 x - 2 x - 1 x 0 x 1 x 2 x 3 x 4 y - 2 y 0 y 2 y 4 y 6 y 8 y 10 y 12
The line through the first set of points (8, -3), (10, -2), (12, -1), (14, 0), (16, 1), (18, 2), (20, 3), (22, 4) does not intersect with the line through the second set of points (-2, -3), (0, -2), (2, -1), (4, 0), (6, 1), (8, 2), (10, 3), (12, 4).
Thus, the correct response is: No, these lines are parallel.
Does the line through (3, 7) and (-2, -5) intersect with the line through (4, 8) and (10, -2)?(1 point) Responses Yes…these lines are not parallel Yes…these lines are not parallel No…these lines are parallel No…these lines are parallel Yes…these lines are perpendicular Yes…these lines are perpendicular No…these lines are perpendicular No…these lines are perpendicular You cannot tell without a graph You cannot tell without a graph Yes…these lines are parallel
To determine if the line through (3, 7) and (-2, -5) intersects with the line through (4, 8) and (10, -2), we can calculate the slopes of the two lines.
The slope of the line through (3, 7) and (-2, -5) is (7-(-5))/(3-(-2)) = 12/5.
The slope of the line through (4, 8) and (10, -2) is (8-(-2))/(4-10) = 10/(-6) = -5/3.
Since the slopes are not equal, the lines are not parallel.
To determine if the lines intersect, we need to compare the y-intercepts of the two lines. The equation of a line in slope-intercept form is y = mx + b, where b represents the y-intercept.
For the line through (3, 7) and (-2, -5), we can solve for the y-intercept:
7 = (12/5)(3) + b
7 = 36/5 + b
b = 7 - 36/5 = 35/5 - 36/5 = -1/5.
So, the equation of the line through (3, 7) and (-2, -5) is y = (12/5)x - 1/5.
For the line through (4, 8) and (10, -2), we can solve for the y-intercept:
8 = (-5/3)(4) + b
8 = -20/3 + b
b = 8 + 20/3 = 24/3 + 20/3 = 44/3.
So, the equation of the line through (4, 8) and (10, -2) is y = (-5/3)x + 44/3.
To determine if the lines intersect, we need to verify if the lines have the same solution for x and y. By substituting x and y values into the equations, we can see that they do not intersect.
Thus, the correct response is: No, these lines do not intersect.