Answer:
15%
Step-by-step explanation:
The tank's capacity is 200,000 gallons.
170,000 gallons were used.
200,000 - 170,000 = 30,000
30,000 gallons of fuel are still there.
percent = part/total * 100%
percent = 30,000/200,000 * 100% = 15%
1/5(25-5a)=4-a
⇔5-a=4-a
<span>NO SOLUTION</span>
Answer: 
This is equivalent to 
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression is the same as after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
- This entire process only applies to 30-60-90 triangles.
- The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse is
units long. - You could use the tangent ratio to help isolate x. You would either say tan(30) = x/10 or tan(60) = 10/x as the first equation to set up.
Answer:
Current speed is 40mph
Step-by-step explanation:
We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.
Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.
In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have
Speed upstream = 8/t
Speed downstream = 24/t
Respectively.
Let speed of current be X, then
Speed downstream = 40 + X
Speed upstream = 40 – X
From the question we have:
(40 + x)/24 = (40 – X)/8
(40 + x)/3 = (40 – x)/1
3(40 – x) = 40 + X
120 – 3x = 40 – X
120 – 40 = 3x – X
2x = 80
X = 40.
Therefore, current speed is 40mph
Answer:
The equation that will be used to find y, the total time spent on homework is given by:
y=20+2x , where both x and y are integers.
with the constraints as:
x ≥ 0
and y ≥ 20
Step-by-step explanation:
Vlad spent 20 minutes on his Hisson our homework and then completely solved x math problems that each took 2 minutes to complete .
Hence, the time taken to solve maths problmem is: 2x minutes.
Let y represent he total time that Vlad spent on his homework.
Hence, the equation that is can be used to find the value of y is:
y=20+2x.
where x is any integer greater than or equal to 0.
i.e. x ≥0
and y will be an integer greater than or equal to 20.
i.e. y ≥ 20
