PLEASE HELP!!After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?
Linear equation: 1 /2 (x - 3) = 9
Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.
1. Substitute 21 for x in the original equation.
2. Substitute any number for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
5. The result of verifying Bobby’s work is 21 = 21.
Answers
Hi There!
Answer:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
Step-by-step explanation:
Linear Equation: 1/2 (x - 3) = 9
Bobby wants to substitute x for 21.
1/2 (21 - 3) = 9
1/2 (18) = 9
9 = 9
Bobby's claim is correct.
Hope This Helps :)
Answer:
1, 3, 4
Step-by-step explanation:
1. Substitute 21 for x in the original equation.
3. Bobby’s claim that x = 21 is correct.
4. The result of verifying Bobby’s work is 9 = 9.
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Answers
i = √-1
i² = -1
i³ = -√-1
i to the 4th power = +1
i to the 5th power = √-1
etc.
and all the higher powers keep going in the same 4-step cycle.
What's 29 divided by 4 ?
It's 7 with a remainder of 1.
So 29 with all the 4s thrown away is 1, and ' i ' to the 29th power is
the same thing as ' i ' to the 1st power = √-1 or just plain ' i '.
Answers
Answers
Y=x will be on the point of the graph
Y= x+2 will be two units up but still positive so they will never interest
Step-by-step explanation:
Hey there!!
Let's check!
The equation are:
y=x
x - y = 0......(i).
y = x+2
x - y +2 =0......(i).
From equation (i).
Therefore the slopeof 1st equation is 1.
Now,
From 2nd equation.
Therefore the slope of equation 2 is 1.
As per the condition of parallel lines,
m1= m2
From both equation we got,
m1=m2=1
So, the lines are parallel.
For perpendicular,
m1×m2 = -1
1×1 is not equal to -1.
So, they are not perpendicular.
So,TheanswerisOptionA.
Hopeit helps....
Answers
So multiply 380 x 280 = 106,400 would be the answer.
Answers
The car is traveling at 95 km/h, and the train is at 75 km/h.
Remember the train is 1 km long.
a)
With respect to the train the car is not moving as much as 75 km/h.
The car with respect to the train is moving as much as 95 - 75 = 20 km/h
Recall the train is 1 km long.
Time to cover the 1km long train = Distance / speed = 1 / 20 = (1/20) hour.
= (1/20)*60 minutes = 3 minutes.
So the car would pass the train in 3 minutes.
b)
Now if they are traveling in opposite directions;
the car with respect to the train = 75 + 95 = 170 km/h
Time to cover the 1km long train = Distance / speed = 1 / 170 = (1/170) hour.
= (1/170)*60 minutes = (6/17) minutes
= (6/17)*60 seconds = 360/17 seconds ≈ 21.176 seconds.
SameDirection: The car takes 3 minutes to pass the train and travels 4.75 km in this time.
Opposite Directions: The car takes about 0.35 minutes to pass the train and travels approximately 559 meters in this time.
SameDirection:
When the car overtakes the train, it has to cover the entire length of the train, which is 1.00 km.
Relative speed of the car with respect to the train = Car's speed - Train's speed
Relative speed = 95 km/h - 75 km/h
= 20 km/h
Now, we can calculate the time it takes for the car to overtake the train:
Time = Distance / Relative speed
Time = 1.00 km / 20 km/h
Time = 0.05 hours
=3 minutes(since 1 hour = 60 minutes, this is 0.05 x 60 = 3 minutes)
Hence, it takes the car 3 minutes to pass the train when they are traveling in the same direction.
Now, let's calculate how far the car has traveled in this time:
Distance traveled by the car = Car's speed x Time
Distance traveled by the car = 95 x 0.05
Distance traveled by the car = 4.75 km
So, when the car overtakes the train while traveling in the same direction, it takes 3 minutes, and the car will have traveled 4.75 km in that time.
Opposite Directions:
When the car and train are traveling in oppositedirections, they are moving towards each other.
In this case, the relative speed will be the sum of their speeds.
Relative speed of the car and train = Car's speed + Train's speed
Relative speed = 95 km/h + 75 km/h
= 170 km/h
To calculate the time it takes for the car to pass the train:
Time = Distance / Relative speed
Time = 1.00 km / 170 km/h
Time = 0.005882 hours (approximately 0.35 minutes)
So, it takes the car about 0.35 minutes to pass the train when they are traveling in opposite directions.
Now, let's calculate how far the car has traveled in this time:
Distance traveled by the car = Car's speed x Time
Distance traveled by the car = 95 km/h x 0.005882 hours
Distance traveled by the car = 0.5588 km (approximately 559 meters)
Hence, when the car and train are traveling in opposite directions, it takes about 0.35 minutes, and the car will have traveled approximately 559 meters in that time.
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Answers
Answer:
(s/√n) is the standard error of the sample mean. If the sample size n=25, the sample mean = 10 and the sample standard deviation s=6, create the 90% confidence interval for the population mean and interpret it. A. The confidence interval is [7.52 ,12.48] and 90% of the population values fall in this interval.