Answer:
1150 km/hr
Step-by-step explanation:
Formula for Average Speed is given as = Distance in Kilometers/ Time in Hours
In the question we are given the following parameters.
The length of a planet's orbit around a star = Distance = 17,650,000 km.
Time taken to complete a full orbit = 640 Earth days
Step 1
We need to convert the time in days to hours
1 Earth day = 24 hours
640 Earth days =
We cross multiply
640 Earth days × 24 hours
= 15360 hours.
Step 2
Average Speed = Distance in Kilometers/ Time in Hours
Average Speed = 17,650,000 km. /15360 hours
Average Speed = 1149.0885417 km/hr
Approximately to 3 significant figures=
1150 km/hr
Therefore, the planets average speed in kmh-1 to 3sf is 1150 km/hr
Hello there!
3x - y = 3
-x + y = 3
We need to solve 3x - y = 3 for y
Let start by adding -3x to both sides
3x - y = 3
3x - 3x - y = 3 - 3x
-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1
-y * -1= (3 - 3x)-1
y = 3x - 3
Substitute 3x -3 for y in -x+y=3
-x + y = 3
-x + 3x - 3 = 3
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
Now substitute 3 for x in y=3x -3
y = 3x - 3
y = 3(3) - 3
y= 9 - 3
y= 6
Thus,
The answer is x=3 and y=6
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Answer:
27 hours
Step-by-step explanation:
Let her work "x" hours for paperwork
Since, patrolling amount of hours is THREE TIMES that,
Patrolling = 3x hours
Total Hours = 36
That is including paperhour work (x) and patrolling (3x). So we can setup an equation in x and solve for x first:
x + 3x = 36
4x = 36
x = 36/4
x = 9 hours
Amount of Hours for Patarolling = 3x hours = 3(9) = 27 hours
So, she spends 27 hours patrolling
Answer:
x = 2.3202
Step-by-step explanation:
Given equation:
on taking log both sides, we get
now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
