Answer:
20 minutes
Step-by-step explanation:
The mean, or average of a data set can be found by adding all the values together, and dividing by the number of values.
The data set is: 20 minutes, 22 minutes and 18 minutes
1. Add the values together
Add all the numbers in the set together.
Data set: 20, 22, 18
Add them: 20+22+18
60
2. Divide by the number of values
Count how many numbers are in the set.
In this set, there are 3 numbers.
Divide 60 by 3
60/3 =20
20 minutes
His mean time is 20 minutes.
Answer:
Step-by-step explanation:
All other things being equal (and there are a lot of other things) the 50 gram mass will show a larger temperature
increase than the 100 gram mass.
Why?
The formula is the same from both masses of water (50 grams and 100 grams)
The amount of heat added is the same. (Instead of using hot water, we'll a hot plate on a very low temperature but above what they are now.).
We'll leave it on until we see a rise in temperature delta(t1) = 10 degrees
mc delta(t) = m1 * c * delta(t1)
m = 100
m1 = 50 grams.
c is going to be divided out
we'll solve for the ratio of delta(t) / delta(t1)
100 * delta(t) = 50 (delta(t1)
100 * delta(t) = 50*10
delta(t) = 50*10/100
delta(t) = 5 degrees.
Though this may look rather convoluted, the result is telling us is that delta(t1) for the 50 gram mass is twice as big as as for the 100 gram mass.
The 100 gram mass only rises 5 degrees.
The 50 gram mass rises 10 degrees.
Answer:
MY=80
Step-by-step explanation:
MX=MY ( since M is the midpoint)
2x+10=3x-5
10+5=3x-2x
15=x
MX+MY=MX
2x+10+3x-5=MY
2(15)+10+3(15)-5=MY
MY=80
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
