If the value of y varies directly with the value of x. If the value of y is 20 when x is 1/2, what is the value of y when did 4 1/2?
Answer:
What is the value of y when the value of x is 1?
Step-by-step explanation:
60!
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?Assessment timer and count Assessment items Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?
Answer:
Time passes until the second bus catches up with the first bus = 2 hours
Step-by-step explanation:
One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour.
Speed of Bus 1 = 40 miles per hour
Time of leaving of Bus 1 = 4:00 p.m
The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.
Speed of Bus 2= 60 miles per hour
Time of leaving of Bus 2 = 5:00 p.m
We need to find when they catch up
That is the distance traveled by them are same,
Let the time of travel for bus 1 be t, so time of travel for bus 2 is t -1
We have
Distance = time x Speed
Distance traveled buy bus 1 = Distance traveled buy bus 2
40 x t = 60 x (t -1 )
40 t = 60 t - 60
20t = 60
t = 3 hours,
So after 3 hours of starting of bus 1 they catch up,
Time passes until the second bus catches up with the first bus = t- 1 = 2 hours
Time passes until the second bus catches up with the first bus = 2 hours
The second bus takes 2 hours to catch up with the first bus after closing a gap of 40 miles at a relative speed of 20 miles per hour.
Calculating the Time for the Second Bus to Catch Up
To determine how much time passes until the second bus catches up with the first bus, we need to calculate the distance that the first bus travels before the second starts and then use the relative speeds of the buses to find out when the second bus will have covered the same distance.
The first bus travels for one hour before the second starts, covering a distance of:
Distance = speed x time = 40 miles/hour x 1 hour = 40 miles.
When the second bus starts, it closes the gap at a relative speed, which is the difference in their speeds:
Relative speed = 60 miles/hour - 40 miles/hour = 20 miles/hour.
To find out how long the second bus takes to catch up, we use the formula:
Time = Distance / Relative speed = 40 miles / 20 miles/hour = 2 hours.
So, it will take the second bus 2 hours to catch up with the first bus.
HELP ASSSAP WITH THIS QUESTION
Make a 10 or 100 to subtract mentally 76-59 =
A test worth a total of 100 points contains multiple choice questions worth 3 points each and essay questions worth 11 points each. There are 20 questions on the test. Use the graphing method to determine how many questions there are of each type.
A) 3 essay and 17 multiple choice
B) 5 essay and 15 multiple choice
C) 6 essay and 14 multiple choice
D) 10 essay and 10 multiple choice
M+45=32 solve the equation
[tex](1 + 0.12 \div 12) { 12 \times 1 \div 2} - 1 \div 0.12 \div 12 = [/tex]
1/7 x 2/3 in simplest form
To solve 1/7 x 2/3, you multiply the numerators together and the denominators to get 2/21. However, you can simplify the fraction to get your final answer, which is 1/10.
Explanation:In mathematics, when you are multiplying fractions, you multiply the numerators together and the denominators together. So, in the case of the problem 1/7 x 2/3, you would multiply 1 (the numerator of the first fraction) by 2 (the numerator of the second fraction), and 7 (the denominator of the first fraction) by 3 (the denominator of the second fraction).
This results in 2/21. However, both 2 and 21 are divisible by 2, so we simplify this fraction to get the answer 1/10.
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write the number that has zero in the tens place.draw a quick for your number
At midnight the temperature was –3°F. By 5:00 a.m. the temperature had fallen by 12°F. What was the temperature at 5:00 a.m.? A. –15°F B. –9°F C. 9°F D. 15°F
Which number is not in scientific notation ? Which is correct
1.10•10^3
4.0•10^16
7.03•10^-2
350•10^2
Multiply 7 times 462 using place value and expanded form
james bought a cheeseburger, fries, and a drink for dinner. the cheeseburger was three times the price of the fries and the drink and the fries were the same price. if the entire meal was 12.50, what was the price of each item
The price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.
Explanation:Let's say the price of the fries is x. According to the given information, the cheeseburger is three times the price of the fries and the drink, and the fries and the drink have the same price.
So, the price of the cheeseburger would be 3x, and the price of the fries and the drink would be x.
Given that the entire meal costs $12.50, we can set up the following equation: x + x + 3x = 12.50.
Simplifying the equation yields 5x = 12.50. Dividing both sides by 5, we find that x = 2.50.
Therefore, the price of the fries and the drink is $2.50, the price of the cheeseburger is $7.50, and the total price of the meal is $12.50.
Suppose the market demand for a good is described by the equation P = 80 - 2Q. If a change in market supply results in price decreasing from P0 = $60 to P1 = $50, then the resulting change in consumer surplus is:
how do solve the problem 8n-(5n+6)=12
Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55. What is the youngest age Julio can be?
Answer:
11 years
Step-by-step explanation:
Let the age of Julio is x.
Age of Julio's father = 4 x
According to the question, the sum of their ages is not less than 55.
x + 4x > 55
5 x > 55
x > 11
Thus, the youngest age of Julio is 11 years.
what are 3 solutions to -4x+3y=-6
Evaluate 46 – 3v for v = 5.
What is the slope of the line passing through (-3, 5) and (5, -3)?
slope = -1
slope = 0
slope = 1
no slope
we know that
the formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
in this problem we have
[tex]A(-3,5)\ B(5,-3)[/tex]
substitute the values in the formula
[tex]m=\frac{-3-5}{5+3}[/tex]
[tex]m=\frac{-8}{8}[/tex]
[tex]m=-1[/tex]
therefore
the answer is the option
[tex]slope=-1[/tex]
Answer:
The Slope Is -1
Step-by-step explanation:
Fill in this equation with your own negative and positive numbers
Positive number + positive number - positive number + negative numbe r- negative number
=6___+___-___+___-___=6
Select any two non-equal negative integers at random and find their difference(always subtract the first number from the second number). Estimate the probability of getting a positive number as a result.
A running cheetah begins to slow down. For each meter the cheetah travels, its speed changes by −3.4 kilometers per hour. The cheetah travels a total of 21.5 meters. What is the total change in the cheetah's speed during this time?
it's speed reduces -3.4 km/h per meter
multiply distance traveled by reduction:
-3.4 x 21.5 = -73.1
The answer is -73.1
Answer: its -73.1 I legit did the quiz for 3.15
How do I solve: 3w/x=6e
How would a coupon change the unit rate/price per item?
the hallway id 440 inches long. 2.5 feet of the hallways length is not carpeted. What is the length, in inches, of the hall that is carpeted
To find the carpeted part of the hallway, convert the length of the uncarpeted part from feet to inches by multiplying it by 12. Then subtract this length from the total length of the hall in inches. Hence, the carpeted part of the hallway is 410 inches long.
Explanation:The subject of the problem is mathematics and it is about converting feet to inches to solve a subtraction problem. There are 12 inches in a foot. So, the uncarpeted part of the hallway, which is 2.5 feet, is 2.5 * 12 = 30 inches.
Now, we subtract the uncarpeted length from the total length of the hallway to find the carpeted length. The hallway is 440 inches long and if we subtract the 30 inches (uncarpeted part) from it, we will find the length of the carpeted part.
So, 440 inches - 30 inches = 410 inches. Hence, the carpeted part of the hallway is 410 inches long.
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A truck driver drove 120 miles in 1 3/4 hours. What is the speed of the truck in miles per hour?
Solve for x. 5x−2(x+1)=14
please help now !!
the root x = 1 has multiplicity 3 for the function
f(x)=x^3-x^2-x+1
true or false
Answer:
The answer is false for apex.
WILL GIVE BRAINLIEST!
9 out of 20 students will attend the Worldwide Day of Play at RMS what percentage of students will not attend
serious I need your help plz