Answer:
The quotient would be 12.
Step-by-step explanation:
The first way to interpret it would be: 60 as the total amount of students, divided by 5 students per group which = 12 groups with 5 students in each.
The second way to interpret it would be: 60 as the total amount of students, divided into 5 groups which = 12 students in each group.
Answer:
x =5
Step-by-step explanation:
Distribute the 7
leaves you with 14x - 28 =42
Add 42 to both sides, cancelling out the 28 on the left
left with 14x = 70
70/14 = 5
x = 5
<h2>
Answer:</h2><h2>
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent</h2>
Step-by-step explanation:
A rental car agency charges $30.00 per day plus per mile $0.15.
Let x be the number of miles travelled by car
Their total cost = 30 + (0.15x) ... (1)
Another rental car agency charges $36.00 per day plus $0.10 per mile
Their total cost = 36 + (0.10x) ... (2)
Equating (1) and (2), we get
30 + (0.15x) = 36 + (0.10x)
36 - 30 = 0.15x - 0.10x
6 = 0.05x
x = 120 miles
They should travel 120 mils in one day for both rental agencies to cost the same amount to rent
First, let's put the second equation, <span>x-2.23y+10.34=0, in terms of y:
x - 2.23y +10.34 = 0
2.23y = x + 10.34
y = .45x + 4.64
Now we can substitute the right side of this equation for y in the first equation
</span><span>y=2x^2+8x
.45x + 4.64 = 2x^2 + 8x
Turn it into a quadratic by getting 0 on one side:
2x^2 + 8x - .45x - 4.64 = 0
2x^2 + 7.55x - 4.64 = 0 Divide both sides by 2
x^2 + 3.76x - 2.32 = 0
x =( -b +/- </span>√(b² - 4ac) ) / 2a
x =( -3.76 +/- √(14.14 + 9.28)) ÷ 2
x = .54 or -4.31
Plug the x values into y = .45x + 4.64
y = .45 (.54) + 4.64
y = 4.88 when x= .54
y = .45 (-4.31) + 4.64
y = 2.70 when x= -4.31
Solution set:
{ (0.54, 4.88) , (-4.31, 2.70) }