Emily's scooter riding speed is 0.36 miles per minute. Multiplying this rate by 120, the number of minutes in 2 hours, we find that she would be able to travel a distance of 43.2 miles in 2 hours.
Explanation:To answer your question, we first need to find what Emily's speed is. That's how fast she's going. We know that Emily can ride her scooter 18 miles in 50 minutes. So, her speed is 18 miles/50 minutes. When we calculate this, it comes out to be 0.36 miles per minute.
The problem wants us to determine how far Emily can ride in 2 hours if she continues at this same speed. Since there are 120 minutes in 2 hours, we have to multiply her rate by 120.
Doing the multiplication: 0.36 miles/minute * 120 minutes = 43.2 miles. So, Emily could travel 43.2 miles in 2 hours at the same rate.
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describe and correct the error in describing the relationship between the angles
how many 5 3/4 inch pieces of yarn can be cut from a roll that has 60 inches of yarn?
packet of sour worms contains four strawberry, four lime, two black currant, two orange sour, and three green apples worms.
What is the probability that Dylan will choose a green apple sour worm?
To calculate the probability of Dylan choosing a green apple sour worm, divide the number of green apple sour worms (3) by the total number of sour worms (15), resulting in a probability of 1/5 or 20%.
The probability that Dylan will choose a green apple sour worm is calculated by dividing the number of green apple sour worms by the total number of sour worms. Dylan has four strawberry, four lime, two black currant, two orange sour, and three green apple worms in his packet. This gives us a total of 15 sour worms.
To calculate the probability, we use the formula P(E) = Number of favorable outcomes / Total number of outcomes.
Therefore, the probability that Dylan picks a green apple sour worm is P(green apple) = Number of green apple worms / Total number of worms = 3 / 15 = 1 / 5.
So, the probability is 0.20 or 20%.
What's 149590 rounded to the nearest 100,000
The sum of the measures of two complementary angles is 90°. If one angle measures 24° more than twice the measure of the other, find the measure of the smaller angle.
Q. 1 Find the value of |-8| + 4(-5 + 9) ÷ 2.
16
12
24
0
Q 2. Simplify -6(2tiny) ÷ 12 - 2(-7).
-17
35
11
-35
Which property should Remus use to solve the equation below?
7q=49
Answer:
division property of equality
Step-by-step explanation:
7q= 49
To solve this equation we need to get 'q' alone
In order to get 'q' alone, we need to remove 7 from 'q'
Here 7 is multiplied with 'q'
To remove any number we always do opposite operation
Opposite operation of multiplication is division
So we divide both sides by 7
q= 7
Here we used division property of equality
There are 75 customers in the store at 1:00. The store must be emptied of customers when it closes at 5:00. How many customers must leave the store between 4:00 and 5:00?
y = mx + b (b) Your answer: b = y - mx b = x- ym b = y + mx b = mx-y
Simplify the expression (-3) ^4
Can someone help me with this please it would be a big help
How much sleep does a Jaguar get in a year
A swimmer swam 48 kilometers in d days.What is the value of d if the swimmer swam a average of 3.2 kilometers a day
True or False. 170 is 1/10 of 17
Solve. There were 58 adults who completed the 16-mile charity bike ride. There were 65 (1 pt) children who completed the 10-mile charity bike ride. What is the total number of miles ridden by all the adults and children in the bike
A falling stone is at a certain instant 250 feet above the ground and 3 seconds later it is only 10 feet above the ground. From what height was it dropped?
Final answer:
By applying the equations of motion for an object in free fall, it's determined that the stone was dropped from 404 feet above the ground, considering its positions at two separate times and using the acceleration due to gravity.
Explanation:
To find the original height from which the stone was dropped, we can use the equations of motion under constant acceleration due to gravity. Since we are dealing with a vertical motion and we are given the stone's positions at two different times, the most appropriate equation to use is:
h = h0 + v0t - ½gt²
Where:
h is the final height of the object above the ground,h0 is the initial height of the object above the ground,v0 is the initial velocity (which is 0 for a dropped object),g is the acceleration due to gravity (approximately 9.8 m/s², but since we are using feet, we use 32 ft/s²), andt is the time in seconds.We know that the stone is 250 feet above the ground at a certain instant and 10 feet above the ground 3 seconds later. Thus, we can use these values to solve for h0 in two steps. Firstly, convert the given heights to the same unit of measurement if necessary (in this case, they are already in feet). Then, substitute the given values into the equation:
At t = 3 seconds, h = 10 feet:
10 = h0 - ½(32)(3)²
Solving this equation gives us:
h0 = 10 + ½(32)(3)² = 10 + 144 = 154 feet
However, this calculation only accounts for the latter part of the fall. To find the total height from which it was dropped, we need to consider the height above the 250 feet mark.
Since we initially observed the stone at 250 feet and then at 10 feet above the ground, it implies the stone was dropped from 250 feet + 154 feet = 404 feet above the ground.
What is the midpoint of a line that begins on (-2,6) and ends on (4,-10)
The sum of 3 consecutive even numbers is 132. What is the third number in this sequence?
The third number in the sequence is 46, found by adding 4 to the first number, which is 42, as the sum of three consecutive even numbers is 132.
Let's call the three consecutive even numbers x, x + 2, and x + 4.
According to the problem, the sum of these three numbers is 132:
x + (x + 2) + (x + 4) = 132
Now, let's solve for x:
x + x + 2 + x + 4 = 132
Combine like terms:
3x + 6 = 132
Subtract 6 from both sides:
3x = 126
Divide both sides by 3:
x = 42
Now we have the first number in the sequence: x = 42.
To find the third number, we add 4 to x:
[tex]\[ x + 4 = 42 + 4 = 46 \][/tex]
So, the third number in the sequence is [tex]\( \boxed{46} \).[/tex]
10 quarts = _ pints? I dont understand. help me pls
370 is greater than or less than to 248
hellppppp 6=1/5w+7/5w-4
list three ways to express 3 to the 5th power as a product of powers?
H+20=35-4h please help
passes through (-1,2), parallel to the graph of x-3y=14
A one-celled organism measures 32 millimeters in length in a photograph. If the photo has been enlarged by a factor of 100, what is the actual length of the organism?
A 0.32 millimeters
B 3.2 millimeters
C 320 millimeters
D 3,200 millimeters
Is 3.6 repeating equal to 11/3?
Yes, 3.6 repeating is equal to 11 /3 .
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Number is,
⇒ 11 /3
Now, We know that;
⇒ 11 / 3
After divide we get;
⇒ 3.666666...
Thus, 3.6 repeating is equal to 11 /3 .
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The number 'N' of cars produced at a certain factory in 1 day after 't' hours of operation is given by N(t)=100t-5t^2, 0< or equal t < or equal 10. If the cost 'C' (in dollars) of producing 'N' cars is C(N)=15,000+8000N, find the cost 'C' as a function of the time 't' of operation of the factory
Then Interpret C(t) when t=5 hours as a new function.
Answer:
We know that:
[tex]C_{(N)}=15000+8000N[/tex]
So first we need to substitute the next equation in the C(N) equation
[tex]N_{(t)} = 100t-5t^{2}[/tex]
And therefore we have:
[tex]C_{(t)}=15,000 + 8000*(100t-5t^{2})\\C_{(t)}=15,000 + 800000t-40000t^{2}[/tex]
Finally we replace at t = 5 in the equation above and we have:
[tex]C_{(5)}=15,000 + 800000*5-40000*5^{2}\\C_{(5)}= 3015000[/tex]
The interpretation is that after 5 hours of operation, we have wasted 3015000 dollars producing cars.
To calculate the cost of production as a function of time, substitute the production function N(t) into the cost formula C(N). After simplifying, the cost function is C(t) = 15,000 + 800,000t - 40,000t². At 5 hours, the cost is 3,015,000 dollars.
Explanation:To find the cost C as a function of the time t of operation of the factory, we first use the formula for the number of cars produced N(t) = 100t - 5t². Then we substitute the expression for N(t) into the cost function C(N) = 15,000 + 8000N.
Substituting N(t) into C(N), we get:
C(N(t)) = 15,000 + 8000(100t - 5t²)C(t) = 15,000 + 8000(100t) - 8000(5t²)C(t) = 15,000 + 800,000t - 40,000t²This is the cost C as a function of time t.
When t = 5 hours, the function becomes:
C(5) = 15,000 + 800,000(5) - 40,000(5²)C(5) = 15,000 + 4,000,000 - 1,000,000C(5) = 3,015,000 dollarsThis result means that the cost of production after 5 hours of operation is 3,015,000 dollars.
The quotient of two negative integers results in an integer.How does the value of the quotient compare to the value of the original two integers?
how can you show that the ratios 10:4 abd 15:6 are equivalent
Answer:
10:4 On dividing both the number by 2 and 15 : 6
On dividing both the number by 3
Step-by-step explanation:
Given : ratios 10:4 and 15:6 .
To find : you show that the ratios 10:4 abd 15:6 are equivalent.
Solution : We have given 10:4 and 15:6 .
For 10 : 4
On dividing both the number by 2
5 : 2
For 15 : 6
On dividing both the number by 3
5 : 2.
So, we can see both are equal in ratio 5 : 2 .
Therefore, 10:4 On dividing both the number by 2 and 15 : 6
On dividing both the number by 3
Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 10 to positive 10 in increments of 2 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 8 and 0, 0 and 4, 8.Please help as fast as possible!!!!!!
Answer:
The equation of line is y = 2x.
Step-by-step explanation:
Consider the provided information.
A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 10 to positive 10 in increments of 2 for each grid line.
The slope intercept form of an equation of line is: y = mx + c
Where m is the slope and c is the y intercept.
[tex]Slope = m = \frac{Rise}{Run}[/tex]
Increments or decrements in x axis value represent the Run. Increments or decrements in y axis value represent the Rise.
It is given that "y axis values are from negative 10 to positive 10 in increments of 2 for each grid line."
Thus the Rise is 2 unit.
The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line,
Thus the Run is 1 unit.
Hence the slope is: [tex] Slope=m=\frac{Rise}{Run}=2[/tex]
It is given that line passing through (0,0) it means the y intercept is 0.
Now substitute the value of m and y intercept in slope intercept form..
y = 2x + 0
y = 2x
Hence, the equation of line is y = 2x.