To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y.
2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4
Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept.
y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b
Now use our new slope and new y intercept to write the new equation.
y = -5/2x + 19/2
Answer:
1.95
Step-by-step explanation:
Basically, you subtract: 5.82 - 13.87 = 1.95
Then, see: 15.82 - 1.950 = 13.87
Then you have your answer :D
Ashley has to pour 1.95 more grams of salt.
Brainliest, please??? :>
Answer:
42
Step-by-step explanation:
Let total no. of trees be 'X'
Lemon are (1/6) of X = X/6
Orange are (1/2) of X = X/2
Difference is 14
X/2 - X/6 = 14
Lcm is 6
(3X-X)/6 = 14
2X = 14×6
X = 42
Answer: 220 miles
Step-by-step explanation:
Let's write the equations for each case:
A Hertz Rent-a Car:
Charges a fixed amount of $40, plus a $0.10 per mile.
Then if you drive x miles, we get a total cost of:
C(x) = $40 + $0.10*x
Enterprise Rent-A-Car:
Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:
K(x) = $18 + $0.20*x
Now, we want to find how many miles you can drive such that you would pay the same in both companies.
Then we need to find x such that:
C(x) = K(x)
$40 + $0.10*x = $18 + $0.20*x
Let's solve this for x.
$40 - $18 = $0.20*x - $0.10*x
$22 = ($0.20 - $0.10)*x
$22 = $0.10*x
$22/$0.10 = x
220 = x
So if you drive exactly 220 miles, you would pay the same in both companies.
Answer:
5484 gallons
Step-by-step explanation:
Given that:
Delivery in 1 day = 457 dozen gallons
g = number of gallons delivered on that day
Recall :
1 dozen = 12
Therefore, the number of gallons delivered in 1 day :
457 gallons * 12 = 5484 gallons
