Answer:
g < 10
Step-by-step explanation:
-6g + 3g + 12 > -18
Combine like terms
-3g +12 > -18
Subtract 12 from each side
-3g+12-12 > -18-12
-3g > -30
Divide each side by -3, remembering to flip the inequality
-3g/-3 < -30/-3
g < 10
Answer:60
Step-by-step explanation:
Just do 6x10
A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.
Effect of Dilation on Perimeter
Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.
Effect of Dilation on Area
When a figure is dilated by a scale factor of , the area of the figure is dilated by a scale factor of
Example-
Lets imagine a rectangle with length 10 cm and width 8 cm
So area becomes = 10*8 = 80 square cm
Lets suppose the rectangle is reduced by a scale factor of to produce a new rectangle.
So we will find the square of scale factor =
Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4
=
Hence, area becomes 20 square cm.
the amount of watermelon consumed was greater than 8 1/2 pounds.
To determine if the amount of watermelon consumed was less than or greater than 8 1/2 pounds, we need to find the total weight of the watermelons Mr. Hoya brought and then subtract the total amount consumed by the 153 people.
1. Find the total weight of the watermelons:
Total weight = 8 1/4 + 9 1/4 + 8 7/8 + 9 5/8 + 10 3/4
2. Convert all the fractions to a common denominator:
Total weight = (33/4) + (37/4) + (35/4) + (39/4) + (43/4)
3. Add the fractions:
Total weight = (33 + 37 + 35 + 39 + 43) / 4
4. Find the sum:
Total weight = 187 / 4
Now, we'll find the total amount consumed by 153 people:
Total amount consumed = 153 * 1/4
Now, we can compare the total amount consumed to 8 1/2 pounds:
8 1/2 = 17/2 = 34/4
Now, let's compare the values:
Total amount consumed = 153 * 1/4 = 153/4 ≈ 38.25
8 1/2 pounds = 34/4 = 8.5
The total amount consumed (38.25) is greater than 8 1/2 pounds (8.5). Therefore, the amount of watermelon consumed was greater than 8 1/2 pounds.
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The top and bottom are each triangle with base 6 in and height 3 in. So, 6 * 3 / 2 is 9 in^2 for each the top and bottom.
There are 2 rectangles with sides 5 in and 12 in, and 1 rectangle with sides 6 in and 12 in. The areas of the first rectangles are 60 in^2, and the second rectangle is 72 in^2.
Add up the 5 shapes, and you'll have:
9 + 9 + 60 + 60 + 72 = 210 in^2