Answer:
35 pounds of tea for 80 cents.
Step-by-step explanation:
Equation::
value + value = value
80x + 60(50-x) = 74*50
80x + 60*50 - 60x = 74*50
20x = 14*50
x = 35 lbs (amt. of 80 cent tea to use)
50-x = 15 lbs (amt. of 60 cent tean to use)
Answer:
The coordinates of other point are: (5,1)
Step-by-step explanation:
Given coordinates are:
M(x,y) = (2,4)
R(x_1,x_2) = (-1,7)
We have to find the coordinates of other point (x2,y2)
The formula for mid-point is given by:

Putting the values we get

Putting respective elements equal

Hence,
The coordinates of other point are: (5,1)
Answer:
<h2>The time needed is 10 months.</h2>
Step-by-step explanation:
The given points are (0, 3500) and (5, 1750).
First, we use the formula below to find the slope of the line

Which means the function is deacrasing with a ratio of 350 feet per month.
Now, we use the slope and one point to find the equation

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

Therefore, the time needed is 10 months.
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Answer:
See below. The answer is incomplete, I couldn't post it.
Step-by-step explanation:
Considering a function
, it is said to be discontinuous when it has a hole or breaks, it means places where
cannot be evaluated. For example, when the denominator equals to 0, it is not defined.