Given that the method of revenue calculation is straight line method, the equation modeling this will be given by:
y=mx+c
where:
m=slope
x=time
c=initial value.
from our question:
slope,m=$7000
time=T
y(x)=R(t)
hence the formula after the sixth month will be:
R(t)=7000T+45000
There are 16 cups in 1 gallon:
16 x 2.75 = 44 cups
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:

We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.


Multiplying both sides of our equation by 7, we will get,

Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.
Step-by-step explanation:
x = the total money she had first.
x - x×1/4 - (x - x×1/4)×1/2 = 15
you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.
now, we can simplify :
(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4
x×3/4 - x×3/4 × 1/2 = 15
x×3/4 - x×3/8 = 15
we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :
x×3×2 - x×3 = 120
6x - 3x = 120
3x = 120
x = $40
she had $40 at the beginning.
Answer: 1.4 x 3 = 4.2
Step-by-step explanation:
1 x 3 = 3
.4 x 3 = 1.2
3 + 1.2 = 4.2