Answer:
<u>1. C.</u>
<u>2. B.</u>
<u>3. A.</u>
Step-by-step explanation:
First situation given:
An adult and 5 children rent skates. It costs $ 4 per adult for skates and a total of $ 16.
Correct equation: C
<u>4 + 5 x = 16</u>
Second situation given:
It costs Mikael $ 4 to make a bike bag, and he sells each for $ 5. He has made a profit of $ 16, so far.
Correct equation: B
<u> ( 5 − 4 ) x = 16</u>
Third situation given:
It was 16°C. It began falling 4°C per hour until it reached 5°C.
<u>Correct equation: A</u>
<u>16 − 4 x = 5</u>
Let <em>a</em> and <em>b</em> be the two numbers. Then
<em>a</em> + <em>b</em> = -4
<em>a b</em> = -2
Solve the second equation for <em>b</em> :
<em>b</em> = -2/<em>a</em>
Substitute this into the first equation:
<em>a</em> - 2/<em>a</em> = -4
Multiply both sides by <em>a</em> :
<em>a</em>² - 2 = -4<em>a</em>
Move 4<em>a</em> to the left side:
<em>a</em>² + 4<em>a</em> - 2 = 0
Use the quadratic formula to solve for <em>a</em> :
<em>a</em> = (-4 ± √(4² - 4(-2))) / 2
<em>a</em> = -2 ± √6
If <em>a</em> = -2 + √6, then
-2 + √6 + <em>b</em> = -4
<em>b</em> = -2 - √6
In the other case, we end up with the same numbers, but <em>a</em> and <em>b</em> are swapped.
Answer:
distance divided by time
Step-by-step explanation:
distance is the speed of the moving object multiplied by the time taken to complete a certain distance therefore the speed is the distance covered divided by the time taken.