Your little sister has made up a card game where different types of cards are worth different points. face cards are worth 12 points, cards with red numbers are worth 5 points, and cards with black numbers are worth 9 points. let f be the number of face cards in your hand r be the number of cards with red numbers in your hand and b be the number of cards with black numbers in your hand.  what algebraic expression models the total number of points that you have in your hand? suppose you have 3 face cards, 6 cards with red numbers, and 8 cards with black numbers. how many points do you have 12f+5r+9b; 138 3f+6r+8b; 153 12f+5r+9b; 153 3f+6r+8b; 138

the real answer is 12F+5R+9B;138

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."