The answer would be 77.38 pounds
Answer: The graph is shown below
The solution to the system is (x,y) = (2,3)
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Explanation:
To graph , we need two points. Generating any (x,y) point involves picking a random x value to find its paired y value. For instance, if you plugged in x = 0, you should get to y = -2 which is the y intercept. Then trying something like x = 2 will lead to y = 3. This line goes through (0,-2) and (2,3). This line is shown in red below.
The blue line is horizontal and goes through 3 on the y axis. Every point on this horizontal line has the same y coordinate of 3. The x value doesn't matter, so it's not part of the equation y = 3.
The intersection of the red and blue line is the solution to the system. That intersection occurs at (x,y) = (2,3). This means x = 2 and y = 3 pair up together to make both original equations true.
Since this system has at least one solution, we consider it a consistent system.
Answer:
Step-by-step explanation:
For this exercise it is important to know the definition of "Dilation".
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape but have different sizes.
If the Dilation is centered at the origin, and knowing the scale factor of , you need to multiply each coordinate of the point T by the scale factor in order to find the coordinates of the Image T'.
Knowing that the point T has the following coordinates:
You get that the coordinates of the Image T' are the shown below:
12 ounces of fertilizer for every 10 pounds.
How many pounds of fertilizer will the farmer need to make a mix that contains <span>120 pounds of soil?
120 </span><span>÷ 10 = 12
12 × 12 = 144</span>
When 12 ounces of fertilizer for every 10 pounds, when 120 pounds, you will need 144 ounces of fertilizer.
Convert from ounces to pound:
1 ounce = 0.0625 pounds
0.0625 ×144 = 9
144 ounces = 9 pounds
The farmer will need 9 pounds (144 ounces) of fertilizer to mix 120 pounds of soil.
ANSWER:
◻ Rational no. —: Addition & Multiplication (Yes) and Subtraction & Division (No)
◻ Integers —: Addition & Multiplication (Yes) and Subtraction & Division (No)
◻ Whole no. —: Addition & Multiplication (Yes) and Subtraction & Division (No)
◻ Natural no. —: Addition & Multiplication (Yes) and Subtraction & Division (No)