Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor = 
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor = 
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
Answer: $2,000,000
Explanation: Let X be the amount of Avery's investment. Since she will receive $40,000 every year for the next six years, the most she will earn is
$40,000 × 6 = $240,000.
Since she wants to earn 12% on her investment, her earnings is equal to 12% of X = 0.12X. Since the most she will earn is $240,000,
0.12X ≤ 240,000
X ≤ 240,000 ÷ 0.12 = 2,000,000 (Divide both sides by 0.12)
Hence X ≤ 2,000,000. Therefore, the most amount she should invest is $2,000,000.
44 because it goes into 2 and also goes into 11
Answer:
638 in.²
Step-by-step explanation:
Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.
SA = PH + 2LW
where
P = perimeter of base = 2(L + W),
H = height of prism
L = length of base
W = width of base
SA = 2(16 + 7)(9) + 2(16)(7)
SA = 638
Using <u>linear function concepts</u>, it is found that the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A linear function is modeled by:
In which:
- m is the slope, which represents by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem:
- The explanatory variable fat is the input.
- The response variable calories is the output.
The equation is:
- The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
- The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.
Thus, the correct option is:
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
A similar problem is given at brainly.com/question/16302622
