Answer:
The equation to find the profit made by business combined is 
.
Business A made $2 million profit and Business B made $8 million profit.
Step-by-step explanation:
Given:
Profit made in previous financial year = $10 million
We need to write an equation to find the profit made by the business.
Solution:
Let the profit (in millions) made by business A be 'x'.
Let the profit (in millions) made by business B be 'y'.
Now given:
business B making 4 times as much profit as business A.
so we can say that;
Now we know that;
Profit made in previous financial year is equal to sum of profit (in millions) made by business A and profit (in millions) made by business B.
framing in equation form we get;
Substituting the value of y in above equation we get;
Hence The equation to find the profit made by business combined is .
On Solving above equation we get;
profit (in millions) made by business A = 
profit (in millions) made by business B = 
Hence Business A made $2 million profit and Business B made $8 million profit.
Answer:
Explanation with the help of discrete variables and continuous variables.
Step-by-step explanation:
We have to tell that which of the following can be an exact number.
This can be done with the approach of discrete and continuous variables.
Discrete variables are the variables that are countable and cannot be expressed in decimal form. They are point estimated.
Continuous variable are the variable that are estimated with the help of an interval. Their values can be expressed with the help of a decimal expansion. They are not countable.
a) Mass of a paper clip, Surface are of dime, Inches in a mile, Ounces in pound, microseconds in a week
Since all mass, area, weight(ounces), time, length(inches) are continuous variable, they can be estimated with the help of an interval. Thus, they can have exact number but not always.
b) Number of pages in a worksheet
Since this is a discrete quantity and it is countable. Thus, it will always have a point estimation and are exact numbers always.
Answer:
Step-by-step explanation:
Please find the attachment.
Let us divide our given image in several parts and then we will find area of different parts.
First of all let us find the area of our red rectangle with side lengths 6 units and 7 units.
Now let us find area of yellow triangle on the top of red rectangle. We can see that base of triangle is 6 units and height is 1 unit.
Let us find the area of green triangle.
Now we will find the area of blue triangle, whose base is 6 units and height is 2 units.
Let us add all these areas to find the area of our figure.
Therefore, area of our given figure is 54 square units.
When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.
Hence, the system of equations
x + 4y = 2
7x = 14
will also have a solution of (2, 0).
