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1 answer:
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Answer:
There must be 35 red marbles.
Step-by-step explanation:
This question can be solved using a rule of three.
A probability is the number of desired outcomes divided by the number of total outcomes.
The probability of randomly choosing a red marble is 7/9.
This means that for each set of 9 marbles, 7 must be red.
There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
How many red marbles out of 45?
7 red - 9 marbles
x red - 45 marbles
Simplifying by 9
There must be 35 red marbles.
3.
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)
Substitute.
x + 5 + 2x + 7 = 90
3x + 12 = 90
-12 -12
subtract 12 from both sides
3x = 78
Divide each side by 3 to get x by itself
x = 26
4. those two angles in the picture are vertical, which means they're congruent.
with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...
m/_w + 90 = 125
subtract 90 on both sides
m/_w = 35
m/_QOR + m/_ROS = 90 (because the two angels together make a right angle)
Substitute.
x + 5 + 2x + 7 = 90
3x + 12 = 90
-12 -12
subtract 12 from both sides
3x = 78
Divide each side by 3 to get x by itself
x = 26
4. those two angles in the picture are vertical, which means they're congruent.
with that in mind...the ray makes a right angle on one and the other, w, you dont know. so to get the whole angle you need to add both angles to get the whole thing so...
m/_w + 90 = 125
subtract 90 on both sides
m/_w = 35