On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?
Answer:
1.6 hours or 1 hour 36 minutes
Step-by-step explanation:
We have been given an equation [tex]t=\frac{1}{500}d[/tex], where d represents distance traveled in miles and t represents time in hours.
To find the time taken by the flight to travel 800 miles, we will substitute [tex]d=800[/tex] in our given equation as:
[tex]t=\frac{1}{500}\times 800[/tex]
[tex]t=\frac{800}{500}[/tex]
[tex]t=\frac{8}{5}[/tex]
[tex]t=1.6[/tex]
1 hour equals 60 minutes.
0.6 hours = 0.6*60 minutes = 36 minutes.
Therefore, it will take the plane 1.6 hours or 1 hour 36 minutes to travel 800 miles.
Using the equation, it is found that it will take 1.6 hours for the airplane to travel 800 miles.
The equation that relates the time in hours needed to travel d miles is given by:
[tex]t = \frac{1}{500}d[/tex]
In this problem, we want the time needed to travel 800 miles, thus [tex]d = 800[/tex], and:
[tex]t = \frac{1}{500}(800) = \frac{800}{500} = 1.6[/tex]
It will take 1.6 hours for the airplane to travel 800 miles.
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Write the prime factorization of 216 in exponencial from.
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______ numbers can be written as a product of _______ factors.This called the prime factorization of a number.
For the function f(x)=-5x witch ordered park will be a point on the graph
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Which expression is equivalent to-8+7.25-6+0.5
The expression equivalent to -8+7.25-6+0.5 is calculated by first adding the positive numbers to get 7.75, then adding the negative numbers to get -14, and finally combining these to get an equivalent expression of -6.25.
Explanation:To find an expression equivalent to -8+7.25-6+0.5, you need to perform addition and subtraction operations in the order they appear because they have the same level of precedence. Adding positive and negative numbers together is simplified by combining like terms, often starting with the positive numbers for easier calculation.
First, add the positive numbers together: 7.25 + 0.5 equals 7.75. Next, add the negative numbers: -8 + (-6) equals -14. Finally, combine the sum of the positive numbers with the sum of the negative numbers: 7.75 + (-14) equals -6.25.
The equivalent expression is hence -6.25.
Jones middle school has 850 students and gets 5 new students per month. Roberts Middle School has 985 students and 10 students withdrawal each month. After how many months will Jones Middle School have students than Roberts Middle School
Jones Middle School will have more students than Roberts Middle School after 9 months.
Explanation:To find out after how many months Jones Middle School will have more students than Roberts Middle School, we need to determine the point at which the number of students at Jones Middle School exceeds the number of students at Roberts Middle School. Let's calculate the number of months it takes for this to happen:
Number of students at Jones Middle School = 850 + 5n (n represents the number of months)
Number of students at Roberts Middle School = 985 - 10n (n represents the number of months)
We need to find the value of n when the number of students at Jones Middle School is greater than the number of students at Roberts Middle School:
850 + 5n > 985 - 10n
Simplifying the inequality:
15n > 135
n > 9
Therefore, after 9 months, Jones Middle School will have more students than Roberts Middle School.
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Maddie has 2 times as many stickers on her notebook as meg. together they have 15 stickers. how many stickers are on maddie's notebook?
while alex was surfing he rose 36 feet above the water as he rode a wave. within seconds he fell 48 feet where he hit the ocean floor. how deep was the ocean where alex was surfing?
The ocean where Alex was surfing will be 12 feet deep.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Alex was surfing he rose 36 feet above the water as he rode a wave. within seconds he fell 48 feet where he hit the ocean floor.
The position of Alex will be:-
Deepness = 336 - 48
Deepness = -12 feet
| Deepness | = |-12| feet = 12 feet
Therefore, the ocean, where Alex was surfing, will be 12 feet deep.
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PLEASE HELP GEOMETRY Use the word bank to help you with possible answers (there are extra options that are not to be used)
Word Bank:
ASA
SAS
BC=EF
BC=ED
Given
CPCTC
BC = EF
the art teacher asks her students to cut out apples from construction paper five apples can be cut from each sheet of paper. if she needs 1045 apples how many sheets of paper does she need? write an equation to find the unknown then find the unknown
Find a degree 3 polynomial having zeros -3, 3 and 7 and the coefficient of x^3 equal 1.
Simplify the following expression 12 1/2 + (-25)
Select the next two terms in the pattern. 243, 81, 27, 9, . . .
If i have two similar parallelograms that have areas of 18in squared and 32in squared . how do i find the ratio ?
Francisco spent 25 minutes on the internet yesterday is this is 5/6 of the time she spent on the computer how long did she spend on the computer but not on the internet
True ir false: multiplying 7x43, a reasonable estimate of the product is 280? Why?
Multiplying 7 by 43 gives an exact result of 301. Thus, estimating this product as 280 isn't entirely accurate but might be seen as a reasonable approximation in certain contexts.
Explanation:The statement 'multiplying 7 by 43, a reasonable estimate of the product is 280' is known as the question. For this multiplication equation, 7 x 43, the accurate result is 301. Therefore, estimating the product as 280 is not fully correct, however it is relatively close and might be considered a reasonable approximation depending on the context. For a stronger approximation, the product could be rounded up to 300.
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If (5^4)^m = 5^12, what is the value of m?
Answer Choices:
A:2
B:3
C:5
D:8
A 32 mb memory stick can hold up to 491 images. How many images can 7 memory sticks hold?
To find out how many images 7 memory sticks can hold, multiply the number of images one memory stick can hold by the number of memory sticks.
Explanation:To find out how many images 7 memory sticks can hold, we need to multiply the number of images one memory stick can hold by the number of memory sticks. In this case, each memory stick can hold 491 images, so to find out how many images 7 memory sticks can hold, we calculate:
Number of images = Number of memory sticks × Number of images per memory stick = 7 × 491 = 3437 images
Therefore, 7 memory sticks can hold 3437 images.
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Eric conducted a survey of the cars in four parking lots and wrote the following observations: 15 of the 36 cars in lot 1 were blue 43 of the 92 cars in lot 2 were blue 12 of the 30 cars in lot 3 were blue 32 of the 52 cars in lot 4 were blue based on the survey, which parking lot had the greatest present age of blue cars
The percentage of blue cars in the lot is the ratio of the number of blue cars to the total number of cars in each lot ; Hence, lot D has the greatest percentage of blue cars
Percentage of blue cars in each lot :
Number of Blue cars / total number of carsLot A :
% blue cars = 15 / 36 = 0.4167
Lot B :
% blue cars = 43 / 92 = 0.4673
Lot C :
% blue cars = 12 / 30 = 0.40
Lot D :
% blue cars = 32 / 52 = 0.615
Therefore, lot D has the greatest percentage of blue cars.
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Solve for c.
a=11+4b−4c
A)c=a+b-11/-4
B)c=a+4b+11/-4
C)c=a-4b-11/-4
D)c=a-b+11/-4
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What decimal can be added to 0.0545454 To get 0.1545454
The decimal that needs to be added to 0.0545454 to get 0.1545454 is 0.1. This was determined by subtracting 0.0545454 from 0.1545454.
Explanation:The student asked: What decimal can be added to 0.0545454 to get 0.1545454? The solution requires simple subtraction. You need to subtract the given number (0.0545454) from the result you want to achieve (0.1545454). So the calculation is as follows:
0.1545454 - 0.0545454 = 0.1000000
Therefore, the decimal that needs to be added to 0.0545454 to result in 0.1545454 is 0.1.
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Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?
n = 35 • 0.63; 22.05
n = 0.35 • 63; 22.05
n = 35 • 63; 2,205
n • 0.35 = 63; 180
Answer:
n = 0.35 • 63 = 22.05Step-by-step explanation:
To find the 35% of 63, we first should transform the percentage in a fraction, and then operate.
SO, we know that
[tex]35\%=\frac{35}{100}[/tex]
Multiplying this with 63, we have:
[tex]n=\frac{35}{100}63=0.35(63)=22.05[/tex]
Therefore the right answer is the second choice.