Answer:
approximately 8.16 times
Step-by-step explanation:
Answer:
Distance between two cities is 193.94 miles.
Step-by-step explanation:
We have,
Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.
Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°
We assumed, the diameter of earth is 7917.5 miles.
So, the radius = 
= 3958.75 miles
So, using the cosine formula, we have,
i.e. 
i.e. 
i.e. 
i.e. a= 193.94 miles.
Hence, the distance between two cities is 193.94 miles.
Answer: The three odd integers are 11, 13 and 15.
Step-by-step explanation: The first point to note is that the three unknown numbers are consecutive, which means they follow one after the other. Also we are told that the numbers are consecutive “odd integers.” This also means there is a two-digit interval between one number and the next. Hence, if the first number is A, the next number will be A + 2, and the third number will be A + 2 + 2 (that is, A + 4)
At this point we can now derive the following expressions based on the information we have been given, which is;
The sum of the first and third (A + {A + 4} )equals the sum of the second and 13 ({A + 2} + 13). Therefore we can write this out as follows;
A + {A + 4} = {A + 2} + 13
After removing brackets we now have
A + A + 4 = A + 2 + 13
2A + 4 = A + 15
By collecting like terms we now have
2A - A = 15 - 4
(Remember that when a positive value crosses to the other side of the equation it becomes negative, and vice versa)
2A - A = 15 - 4
A = 11
Hence, the three consecutive integers are 11, 13 and 15.
Answer:
x = 8
x = 21/14
x = 8
x = 15/21
x = 1/4
x = 7
Step-by-step explanation:
(For all instances of number, let it be x)
Double the sum of a number and 15. The result is the same as the product of 23 and the number.
2x + 15 = 23 + x
2x - x + 15 = 23 + x - x
x + 15 = 23
x + 15 - 15 = 23 - 15
x = 8
Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.
15x + 2 = 23 + x
14x + 2 = 23
14x = 21
x = 21/14
Double a number and add 15. The result is the same as the sum of 23 and the number.
2x + 15 = 23 + x
x + 15 = 23
x = 8
Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)
2x + 15 = 23x
15 = 21x
x = 15/21
Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.
15x + 2 = 23x
2 = 8x
2/8 = x
x = 1/4
Double the sum of a number and 15. The result is the same as the sum of 23 and the number.
2(x + 15) = 23 + x
2x + 30 = 23 + x
x + 30 = 23
x = 7
