Answer:
3 1/4
Step-by-step explanation:
3/4 + (1/3 divided by 1/6) - (- 1/2)
first calculate between the brackets.
(1/3) / (1/6)
Division is the inverse of multiplying.
(1/3) * (6/1)
multiply both numerators and multiply both denominators
1*6 / 3*1 = 6/3 = 2
3/4 + (2) - (- 1/2)
make all denominators into 4
3/4 + (8/4) - (- 2/4)
- ( - = plus
3/4 + (8/4) + 2/4
3/4 + 8/4 + 2/4
add all numerators since the denominators are all the same.
( 3 + 8 + 2 ) / 4
13/4
3 1/4
3.25
Answer:
There are 1240 students at Washington middle school.
Step-by-step explanation:
Percentages and Portions
We can find portions of a whole by correctly managing the percentages of each part. We know 25% of all students at Washington middle school were on the honor roll. From that portion, 60% of the students are seventh graders. That means 40% of the 25% are eight graders, i.e. 40*25%=10% were from eight grade.
We have 10% of all students are 124, thus the number of students are 124/10%=1240
There are 1240 students at Washington middle school.
Let's test the answer. 25% of 1240 students are on the honor roll, which is 310 students. 40% of 310 students are from 8th grade, 40%*310 = 124 as stated in the problem
Answer:
Probability (bid accepted) = 0.48
Step-by-step explanation:
Probability density is given byF(y)= 1/(b-a)
a=9500
b= 14700
F(y)= 1/(14700-9500) =1/5200=0.00019
Probability (bid accepted)= (12000-9500)÷1/5200
P( bid accepted) = 2500×0.00019=0.475 approximately 0.48
This problem is an example of solving equations with variables on both sides. To solve, we must first set up an equation for both the red balloon and the blue balloon.
Since the red balloon rises at 2.6 meters per second, we can represent this part of the equation as 2.6s. The balloon is already 7.3 meters off of the ground, so we just add the 7.3 to the 2.6s:
2.6s + 7.3
Since the blue balloon rises at 1.5 meters per second, we can represent this part of the equation as 1.5s. The balloon is already 12.4 meters off of the ground, so we just add the 12.4 to the 1.5:
1.5s + 12.4
To determine when both balloons are at the same height, we set the two equations equal to each other:
2.6s + 7.3 = 1.5s + 12.4
Then, we solve for s. First, the variables must be on the same side of the equation. We can do this by subtracting 1.5s from both sides of the equation:
1.1s + 7.3 = 12.4
Next, we must get s by itself. We work towards this by subtracting 7.3 from both sides of the equation:
1.1s = 5.1
Last, we divide both sides by 1.1. So s = 4.63.
This means that it will take 4.63 seconds for both balloons to reach the same height. If we want to know what height that is, we simply plug the 4.63 back into each equation:
2.6s + 7.3
= 2.6 (4.63) + 7.3
= 19.33
1.5s + 12.4
= 1.5 (4.63) + 12.4
= 19.33
After 4.63 seconds, the balloons will have reached the same height: 19.33 meters.
640,700 :- the four in this number is 40,000
67,040 :- the four in this number is 40
Now, we need to find out how many times greater 40,000 is than 40.
40,000/40 = 1000
Answer: It is 1000 times greater.
