Create some expressions.
1# number: x
2# number: 33x
3# number: 100 + x
this all equals to 310310 when added so
x+33x+(x+100) = 310310
Solve what you know first then rearrange it.
34x + x + 100 = 310310
35x = 310310-100
35x = 310210
x = 310210/35
x = 8863.142857
Substitute the x into the expressions made and you'll find the 2# and 3# number. You've already found the 1# number since it's only x.
Answer:
A)
58/3 = 19.33 hours
B)
84.00 hours
C)
2074.29 miles
Step-by-step explanation:
Under the assumption the earth is a perfect circle, then in a complete rotation ( 24 hours) the earth will rotate through 360 degrees or 2π radians.
A)
In one day or 24 hours the earth rotates through 360 degrees. We are required to determine the duration it takes to rotate through 290 degrees. Let x be the duration it takes the earth to rotate through 290 degrees, then the following proportions hold;
(24/360) = (x/290)
solving for x;
x = (24/360) * 290 = 58/3 = 19.33 hours
B)
In 24 hours the earth rotates through an angle of 2π radians. We are required to determine the duration it will takes the Earth to rotate through 7π radians. Let x be the duration it takes the earth to rotate through 7π radians, then the following proportions hold;
(24/2π radians) = (x/7π radians)
Solving for x;
x = (24/2π radians)*7π radians = 84 hours
C)
If the diameter of the earth is 7920 miles, then in a day or 24 hours a point on the equator will rotate through a distance equal to the circumference of the Earth. Using the formula for the circumference of a circle;
circumference = 2*π*R = π*D
= 7920*3.142
= 24891.43 miles
Therefore a point on the equator covers a distance of 24891.43 miles in 24 hours. This will imply that the speed of the earth is approximately;
(24891.43miles)/(24 hours) = 1037.14 miles/hr
The distance covered by the point in 2 hours will thus be;
1037.14 * 2 = 2074.29 miles
Answer:
{x,y} = {25/9,23/9}
Step-by-step explanation:
// Solve equation [2] for the variable x
[2] x = -4y + 13
// Plug this in for variable x in equation [1]
[1] 5•(-4y+13) + 2y = 19
[1] - 18y = -46
// Solve equation [1] for the variable y
[1] 18y = 46
[1] y = 23/9
// By now we know this much :
x = -4y+13
y = 23/9
// Use the y value to solve for x
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