What do you do when adding and subtracting fractions?01
2 answers:
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If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
=
= 0.2777.
- So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
<h2>Explanation:</h2>
The complete question is in a comment above. The statements says that:
- Sean wrote the equation
is the cost per pound.
- The equation show the relationships between the total cost, $9.25, and the number of pounds of pears.
So we are asked to write an write an equation to show the cost y of x pounds of pears. In other words, we need to write an equation such that y is given in terms of x, where x is the pounds of pears. So:
From the equation we can determine as:
So each pound costs $1.85. The equation tells us that 5 pounds of pears result costs $9.25. Then, by proportion:
So choosing the number of pounds as 0, 1, 2, 3, 4, 5, the table would be:
From the table we can know that the graph is a line. that passes through all these points. Since this line passes through the origin, then y varies directly as x (Direct Proportion).