Problem 11
<h3>Answer: h =
2A/b</h3>
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Explanation:
We need to get h by itself. To do so, we first multiply both sides by 2. Then we divide both sides by b
A = (1/2)*b*h
2A = b*h
b*h = 2A
h = 2A/b
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Problem 12
<h3>Answers:</h3>
- Equation: (n+2)/5 = 14
- Solution to that equation: n = 68
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Explanation:
The number n is increased by 2 to get n+2
Then we divide by 5 to get (n+2)/5
This is set equal to 14 to get the equation (n+2)/5 = 14
Solving the equation would look like this
(n+2)/5 = 14
n+2 = 5*14 .... multiply both sides by 5
n+2 = 70
n = 70-2 .... subtract 2 from both sides
n = 68
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Problem 13
<h3>Answer: Not a solution</h3>
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Explanation:
We'll replace every copy of x with -3 and simplify
-2x + 5 > 13
-2*(-3) + 5 > 13
6 + 5 > 13
11 > 13
The last inequality is false because 11 is not greater than 13. Since the last inequality is false, this makes the first inequality false when x = -3.
Therefore, x = -3 is not a solution.
<h2>
Hello!</h2>
The answers are:
<h2>Why?</h2>
To calculate the speed of the cars, we need to write two equations, one for each car, in order to create a relation between the two speeds and be able to calculate one in function of the other.
So,
Tet be the first car speed "x" and the second car speed "y", writing the equations we have:
For the first car:
For the second car:
We know that the speed of the second car is the speed of the first car plus 14 mph, so:
Now, from the statement that both cars met after 2 hours and 45 minutes, and the distance between to cover (between A and B) is 264 miles, so, we can calculate the relative speed between them:
If the cars are moving towards each other the relative speed will be:
Then, since we know that they covered a combined distance equal to 264 miles in 2 hours + 45 minutes, we have:
Writing the equation:
So, the speed of the first car is equal to 41 mph.
Now, for the second car we have that:
We have that the speed of the second car is equal to 55 mph.
Hence, the answers are:
Have a nice day!
Answer:
A = 413 sq feet
Step-by-step explanation:
The area of the yard = area of rectangle - area of semicircle
The radius of the semicircle, r = 10 feet
The length of the rectangle = 38.5 - 10 = 28.5 feet
So,
The area of the yard = lb - (πr²/2)
So, the required area is equal to 413 sq feet.
Answer:
14
Step-by-step explanation:
Answer:
k = 2
Step-by-step explanation:
y = kx
4 = 2k
k = 2 (slope)