The quantity of lemonade that Regan sold on saturday given the amount sold by Mark is 1 11/12 gallons.
<h3>What are fractions?</h3>
Fractions are non-integers that consist of a numerator and a denominator. A proper fraction is a fraction in which the numerator is less than the denominator. e.g. 2/3. A mixed fraction is made up of a whole number and a proper fraction. An example is 2 7/8.
<h3>How much lemonade did Regan sell?</h3>
2 7/8 x 2/3
23/8 x 2/3 = 23/12 = 1 11/12 gallons
To learn more about multiplication of fractions, please check: brainly.com/question/1114498
Answer:
Final answer is 
.
Step-by-step explanation:
Given that two 6-sided number cubes are rolled. Now we need to find about what is the possibility of rolling a sum of 8.
From the sample space, you can see that there are total 36 possible outcomes.
out of those outcomes, there are only 5 outcomes that has sum = 8
which are {(2,6), (3,5), (4,4), (5,3), (6,2)}.
Hence probability of rolling a sum of 8 
.
Hence final answer is .
K Value is a steady state of the heat flow through a unit area of a homogeneous material induced by the unit temperature gradient. It can be determined by the flow of heat from a hotter surface to a colder surface. It is used to describe British thermal unit (BTU) per hour
Answer:
23
Step-by-step explanation:
Maybe you want to evaluate ...
f(x) = 3x^2 -2x +7
for x = -2.
Put the value of x where x is, then do the arithmetic.
f(-2) = 3(-2)^2 -2(-2) +7 = 3(4) +4 +7
f(-2) = 23
The first number is positive, so the second has to be positive too so that their product can be a positive number which is 48.
Suppose the first number is x and the second number is y.
We know that:
y = 4 + 2x (4 more meaning adding 4 to sthing and that sthing is twice x hence the 2x)
Moving on, we have x.y = 48 (we replace y by its other value that has x in it so that we have only one unknown variable that we need to find)
<=> x.(4 + 2x) = 48
<=> 4x + 2x^2 = 48
<=> 2x^2 + 4x - 48 = 0 (we add (-48) on both sides)
Now we have to solve the second degree equation, I don't know the exact names of things since I didn't study math in English, but we have to calculate the value of, say, b^2 - 4ac (ax^2 + bx + c)
in this case b = 4 , a = 2, c = -48
so b^2 - 4ac = 16 + 384 = 400, so the square root of that equals 20
now, we have two possible values for x, suppose x1 and x2
x1 = (-4 + 20)/2.a = (-4 + 20)/4 = 16/4 = 4
x2 = (-4 - 20)/2.a = (-4 - 20)/4 = (-24)/4 = (-6) (which is impossible giving that the two numbers must be positive)
So x has to be equal to x1 => x = 4
We find x, and since y = 4 + 2x <=> y = 4 + 2.4 = 4 + 8 = 12
As a conclusion, x = 4 , y = 12
