9514 1404 393
Answer:
x = 115
Step-by-step explanation:
The sum of angles in a hexagon is 720°.
x +118 +90 +112 +131 +154 = 720
x = 115 . . . . . . . subtract 605
The speed of current will be "4.5 mph" and the rate Pratap can row in still water will be "8.5 mph".
What does "speed" mean in mathematics?
- Speed is what it means. the speed of a change in an object's location in any direction.
- Speed is defined as the ratio of distance to the amount of time it took to cover that distance.
- Speed is a scalar quantity because it just has a direction and no magnitude.
Given:
Distance "26 miles" in time "2 hours".
Let,
Speed of water = y
Pratap speed when rowing in still water = x
As we know,
Speed = distance/time
then,
x + y = 26/2
x + y = 13
x = 13 - y
In return trip took him time "6.5 hours",
x - y = 26/6.5
x - y = 4
By substituting the value of "x", we get
13 - y - y = 4
13 - 2y = 4
2y = 13 - 4
2y = 9
y = 9/4 = 4.5 mph (Rate of the current)
By substituting the value of "y", we get
x = 13 - a
x = 13 - 4. 5 = 8.5 mph (Pratap can row in still water)
Learn more about speed
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Answer:
I think it’s step 2 where she distributed the exponents incorrectly but she got it right so since no explanation is really needed then I guess it’s step 2.
step 1 where she divided 5 on both sides. Step 3 is also correct since the answer is 0. so step 2 had the mistake.
Answer:
Chocolate Chips cost $2.25 and Walnuts cost $3.25 per pound each
Step-by-step explanatChocion:
Let x = cost of pounds of chocolate chip cookies and y = cost of pounds of walnuts.
From the question, we get 5x+3y = 21 and 2x+6y = 24. To solve the equation, we use substitution. From the first equation, we get y = (21-5x)/3. We substitute the y into the second equation to get 2x + 6(21-5x)/3 = 24. This turns out to be 2x+(42-10x) = 24. Adding like terms you should get 42-8x = 24. Solving for x, x = $2.25 per pound. Plugging this into the first equation, we get 5(2.25)+3y = 21. Solving for y, we get $3.25 per pound of walnuts. If we plug in the numbers into the 2 equations, we will get the right total.
it's 5 days, if you need an explanation feel free