Answer:
It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.
Step-by-step explanation:
Answer:
Option B: If two lines are parallel, then alternate interior angles are
congruent.
Step-by-step explanation:
Notice that angles 3 and 6 are INTERNAL relative to the parallel lines, that is located in between the parallel lines. They are also alternate angles. Therefore, the correct answer is:
"If two lines are parallel, then alternate interior angles are congruent."
Answer:
b
Step-by-step explanation:
The variability of the proportion of blemishes for Mary's sample will be greater than the variability of Pat's.
Answer:5/1
Step-by-step explanation:5 times 1 is 5 so for every female it’s 5 male
Answer:
Weight of nuts = 6 pounds.
Weight of cereal squares = 6 pounds.
Step-by-step explanation:
Let the weight of nuts used in the trial mix to be x pounds and the weight of cereal squares used in the trial mix to be y pounds. Total weight of the mixture is 12 pounds. Therefore: x + y = 12. This implies y = 12 - x (Equation 1).
Cost of nuts per pound = $8 and cost of cereal squares per pound = $3. Cost of the mixture per pound = $5.5. Total mixture = 12 pounds. Since x pounds of nuts and y pounds of cereal squares are used, therefore: 8x + 3y = 5.5 * 12.
8x + 3y = 66. (Equation 2).
Put equation 1 in equation 2.
8x + 3(12 - x) = 66.
8x + 36 - 3x = 66.
5x = 30.
x = 6.
Put x = 6 in equation 1.
y = 12 - 6.
y = 6.
Therefore, the weight of nuts used in the trial mix will be 6 pounds and the weight of cereal squares used in the trial mix will be 6 pounds!!!