Ciara has a bag of 60 colored marbles. There are purple, green, and red marbles,. She empties the bag, sorts the marbles, and counts 11 purple marbles and 20 green marbles. She wants to write a ratio of the number of purple marbles to the number of red marbles. How can she find the number of red marbles without counting them?

The transitive property of equality states that: o if a = b, then bra o if a = b, then ac = bc o if a = b and b= c, then a = if a = b and c= c, then a + b = b + c

Solve this equation using substitution. {4x + y = −2} {4x + 6y = 44}

It is saturday morning and jeremy has discovered he has a leak coming from the water heater in his attic. since plumbers charge extra to come out on the weekends, jeremy is planning to use buckets to catch the dripping water. he places a bucket under the drip and steps outside to walk the dog. in half an hour the bucket is 1/5 of the way full. what is the rate at which the water is leaking per hour?