Answer:
The answer to your question is speed = 9 m/s
Step-by-step explanation:
Data
Winner Last runner
time = 45 s time = 48 s
speed = 9.6 m/s
Process
1) Calculate the distance they ran using the data of the winner
speed = distance / time
-Solve for distance
distance = speed x time
-Substitution
distance = (9.6)(45)
-Result
distance = 432 m
2.- Calculate the speed of the last runner
-Substitution
speed = 432/48
-Result
speed = 9 m/s
4x = 7(x-3)
1. Distribute that multiplicand 7: 4x = 7x - 21
2. Group the x terms together: Subtract 4x from both sides: 0 = 3x - 21
3. Solve for x: Add 21 to both sides: 21 = 3x
4. Divide both sides by 3 to obtain x = 7 (answer)
Answer:
975 students
Step-by-step explanation:
This is a dense question. Let's look at it piece by piece:
1. The ratio of boys to students in the class is 10/25. If there are 25 students and 15 girls, that leaves 10 boys.
2. The question says that the ratio is in proportion of boys to total students in the school. "In proportion" in this case means that if we convert 10/25 to a fraction with numerator 390, the denominator is the amount of students in school.
3. 10x39=390. What you do the numerator you must do to the denominator: 25x39=975.
4. This means 975 students go to the school.
Answer:
4.5 miles
Step-by-step explanation:
You times .75 and 6 and you should get 4.5 miles
The slope is 2
y=2x + b
Plug in a point to solve for b
8 = 2(3) + b
8 = 6 + b
b = 2
The equation is y = 2x + 2
