Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S
Let the speed of boat in still water be x mph
Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles
Time taken in both distances is equal.
Therefore,
30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph
The speed of boat in still water is 16 mph.
Answer:
x = 6
Step-by-step explanation:
If A, B and C lies on a straight line in order, then;
AB+BC = AC
x+12+2x-4 = 26
x+2x+12-4 =26
3x+8 = 26
3x = 26-8
3x = 18
x = 18/3
x = 6
Hence the value of x is 6
Answer:
1..JANE FISH FIRST.
2..BEN WAS LAST.
3..20 MIN AHEAD OF RITA
4..BEN WAS 25 MIN BEHIND ALL AND 5 MIN BEHIND RITA
5..9.45 IS THE AVERAGE TIME OF 3 STUDENTS
Step-by-step explanation:
<h3>MARK AS BRAINLIAST</h3>
Answer:

Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
Algebraic expression: 100 = 25 + n
Answer: n = 75