Let the cost of each drink is $x and the cost of each hot dog is $y.
According to the given data, 3 drinks and 2 hot dogs cost $4.80. In equation form, we can write it as:
1 drink and 1 hot dog costs $2.00. In equation form, we can write it as:
Using this value of x in first equation, we get:
Thus the cost of one hot dog is $1.20
Answer:
x/4=3.6
x=3.6 x 4
x=14.4
Step-by-step explanation:
Answer:
1/-14 or 1 over - 14
Step-by-step explanation:
The equation you need is: y2-y1 over x2-x1
So if you plug it in it becomes 2-1 over -17 -(-3) so 2 - 1 is 1 that's the easy part, 17 - (-3) is the hard part because you can't minus a negative. So it becomes -17+3 which is still -14 because you take the sign of the bigger number. Sorry if it's hard to understand :(
Answer:
The speed of the current is 3 miles per hour
Step-by-step explanation:
The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r
Let x = speed in still water
Let c = speed of the current
The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.
Distance Rate Time
Upstream x − c
Downstream x + c
The distance column with the numbers from the problem and the value for speed in still water for x.
Distance Rate Time
Upstream 4 5 − c
Downstream 16 5 + c
The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time
Upstream 4 5 − c
5 − c
4
Downstream 16 5 + c
5 + c
16
“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:
4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3
