Answer:
54 gallons of 26 percent green dye and then 54 gallons of 16 percent green dye
Answer:
240 mi^3
Step-by-step explanation:
Base area = length x width = 10 x 8 = 80 mi^2
V = (base area x height)/3 = (80 x 9)/3 = 240 mi^3
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
Answer:
AB=8cm
Step-by-step explanation:
Since ABC is a right angled triangle,
Using pythagoras theorem,
h²=p²+b²
or, BC²=AC²+AB²
or, 17²=15²+AB²
or, 289=225+AB²
or, 289-225=AB²
or, AB² = 64
so, AB=8 cm
Answer: y=3(4)x
Explanation: I took the test
