The expression equivalent to the total distance Rhonda drove is 51x = 275
Given:
Distance 1:
Number of miles = 51 miles
Number of hours = 5 hours
Distance 2:
Number of miles = 55 miles
Number of hours = x hours
<em>Ratio of miles to number of hours</em> = 51 miles : 5 hours
<em>Ratio of miles to number of hours</em> = 55 miles : x hours
Equate the ratios
51 : 5 = 55 : x
51/5 = 55/x
cross product
51 × x = 5 × 55
51x = 275
x = 275 / 51
x = 5.392156862745098
Approximately,
x = 5.4 hours
Therefore, the number of hours taken to travel 55 miles is 5.4 hours
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Answer:
DNE
Step-by-step explanation:
The left limit is +1; the right limit is -1. These are different, so the limit does not exist.
Answer: see proof below
<u>Step-by-step explanation:</u>

Answer:
m=1
Step-by-step explanation:
step 1: 8(m + 2) = 3(12 - 4m) remove the parentheses
step 2: 8 m + 2 = 3 12 - 4m move the terms
step 3: 8m+ 12m= 36 - 16 collect like terms and calulate
step 4: 20m=20 divide both sides
solution: m=1
Answer:
Step-by-step explanation:
Total number of marbles = 5 + 2 + 3 = 10
Probability of choosing 1 green marble = 2/10
Probability of choosing 1 yellow marble = 3/10
Notice (and this is important) that the denominator didn't change. Why?
Because you replaced the first marble into the bag. That word replacement is critical in a problem of this nature. There is the term non replacement which means that the second draw would have a denominator of 9.
So what is the probability of P(green then yellow)?
P(green then yellow) = 3/10 * 2/10 = 6/100
Answer: P(green then yellow) = 3/50 because 6 / 100 reduces.