Answer: 11/21
Step-by-step explanation: Subtract: 67 - 26 = 6 · 67 · 6 - 2 · 76 · 7 = 3642 - 1442 = 36 - 1442 = 2242 = 2 · 112 · 21 = 1121
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(7, 6) = 42. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 6 = 42. In the next intermediate step , cancel by a common factor of 2 gives 1121.
hope this helps
Answer:
The fish will be at a distance of 5 3/4 ft from the water surface at 4:00 pm
Step-by-step explanation:
Here, we want to find a rational number that represents the position of the Fish at 4pm
Initially it was at a depth of 2 1/2 ft below the water surface
At 4pm, it went 3 1/4 ft further
Thus, its position with respect to the water surface at 4 pm will be;
2 1/2 + 3 1/4
= 5/2 + 13/4 = (10 + 13)/4 = 23/4 = 5 3/4 ft
Answer:
The difference in the populations of the cities when t=4 is 25,800.
Step-by-step explanation:
Given equations each of the city:
-150t+50,000
and
50t+75,000
To find the difference between the population when t=4, we first have to solve both equation when t=4.
For both equations, substitute 4 into t:
-150(4) + 50,000 = 49,400
50(4) + 75,000 = 75,200
Now subtract 49,400 from 75,200 and you get 25,800.
The difference in the populations of the cities when t=4 is 25,800.
Answer:
Step-by-step explanation:
Total number of students in the class = 26
Number of boys in the class = 10
Number of girls in the class = 26 - 10 = 16
The formula for probability is :
In this case the favorable outcomes would be the number of girls in the class and total outcomes would be the total number of students in the class.
Eduardo has to pull out two names from the hat. Since there are 16 girls in the class of 26, the probability that the first name will be of the girl will be = 
After picking up the 1st name, there would be 25 names in the hat with 15 names of girls as one of the girl is already been chosen. So,
The probability that the second name would belong to a girl = 
The probability that both the partners will be girls will be equal to the product of two individual probabilities as both the events are independent.
Therefore,
The probability that both of Eduardo's partners for the group project will be girls = 
Looks like (0,1) and (2,4) are on the line.
(0,1) is the y intercept, b=1
The slope is m=(4 - 1)/(2 - 0) = 3/2
Answer: y = (3/2) x + 1
