Mr.Anderson drove 168 miles in 3 1/2 horurs. He then drove the next 2 1/4 hours at a rate of 5 miles faster than the first rate. How many miles did Mr. Anderson drive during the 5 3/4 hours?
Answers
168/3.5=48mph
5mph more than 48=53
2.25 times 53=119.25
total is
168+119.25=287.25 miles
Related Questions
Katie spent $465 on DVDs and CDs. The CDs cost $15 each, and the DVDs cost $19 each. A total of 27 CDs and DVDs were purchased. How many of each did she buy?(solve by substitution or elimination methods only)
9x+10=11x-10Please show work
8 = -8A True© False????
Given the equations y = x2 - 4x - 5 and y + x = -1, one point that satisfies both equations is
Answers
Answer:
see below
Step-by-step explanation:
The line is AB with ↔ over it
The Plane requires 3 letters not all in a line
The plane name is ABD
Answers
About 914 card members would buy used dvds from the library.
A. a fraction between π/2 and π/3
B. an integer between –11 and –10
C. a whole number between 1 and 2
D. a terminating decimal between –3.14 and –3.15
Answers
Using the concept of dense numbers, it is found that the correct option is:
A. a fraction between π/2 and π/3
-----------------
- The rational numbers are dense in the real numbers because all irrational numbers can be closely approximated to a rational.
- There are no integers between -11 and -10, neither there are whole numbers between 1 and 2, thus, options B and C are incorrect.
- Terminating decimals between -3.14 and -3.15, such as -3.141, are rational numbers, so it does not show the density, and thus, option D is incorrect.
and
, just as
, are non-terminating decimals, thus they are irrational numbers. However, through rounding, all can be approximated to a rational number, and thus, it shows that rational numbers are dense in the real numbers, being the correct option.
A similar problem is given at brainly.com/question/17405059
Answer:
A terminating decimal between -3.14 and -3.15
Step-by-step explanation:
A natural number includes non-negative numbers like 5, 203, and 18476.
It is encapsulated by integers, which include negative numbers like -29, -4, and -198.
Integers are further encapsulated by rational numbers, which includes terminating decimals like 3.14, 1.495, and 9.47283.
By showing a terminating decimal between -3.14 and -3.15, you are showing that rational numbers include integers (because integers include negative numbers)
Answers
c) y=1/2sinx
d) -1/2xcosx
Answers
Answer:
Option (d)
Step-by-step explanation:
Given,
y" +y=sin x ...........(1)
The particular solution
Putting the value of y" and y in equation (1)
Therefore 2A =0 -2B=1
⇒A=0
Therefore
Final answer:
The solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).
Explanation:
To determine which of the given functions are solutions of the differential equation y'' + y = sin(x), we can substitute each function into the equation and check if it satisfies the equation. Let's go through each option:
- Substituting y = sin(x) into the equation, we get -sin(x) + sin(x) = sin(x), which is not true. So, y = sin(x) is not a solution.
- Substituting y = cos(x) into the equation, we get -cos(x) + cos(x) = sin(x), which is true. So, y = cos(x) is a solution.
- Substituting y = (1/2)sin(x) into the equation, we get -(1/2)sin(x) + (1/2)sin(x) = sin(x), which is true. So, y = (1/2)sin(x) is a solution.
- Substituting y = -(1/2)xcos(x) into the equation, we get (-1/2)xcos(x) + (1/2)xcos(x) = sin(x), which is true. So, y = -(1/2)xcos(x) is a solution.
Therefore, the solutions of the differential equation y'' + y = sin(x) are y = cos(x), y = (1/2)sin(x), and y = -(1/2)xcos(x).
Learn more about Solutions of a differential equation here:
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