Answer:
$0.40
Step-by-step explanation:
5.60/14 = .40
Answer:
the distance between the points is about 9.2 units
Step-by-step explanation:
It is well you should not understand it. <em>No question is asked</em>.
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The answer choices suggest you are to find the distance between the two points. There is only one choice in a reasonable range: 9.2 units.
Each point is more than 2 units from any axis, so 2 units is clearly not the answer. The size of the graph is much less than 81 units, so clearly that is not the answer.
The difference of coordinates in the x-direction is 6; in the y-direction the difference is 7 units. The distance between the points will be more than the longest of these (7) and less than about 1.5 times that (10.5). Only one choice is in this range: 9.2 units.
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The Pythagorean theorem is used to calculate the distance between points. The distance is considered to be the hypotenuse of a right triangle with legs of lengths equal to the differences of coordinates. Here, that means the distance (d) is ...
d² = 6² + 7² = 36 +49 = 85
d = √85 ≈ 9.2 . . . . grid squares, or "units"
Answer:
The surface area that Sergio needs to frost on each cake is 3,238 square centimeters
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The surface area of the cylindrical cake is equal to the lateral area plus the area of the top of cylinder (remember that the bottom of the cake does not need frosting)
so
we have
---> the radius is half the diameter
substitute the given values
Round up to the nearest whole number
therefore
The surface area that Sergio needs to frost on each cake is 3,238 square centimeters
Answer: one puppy weighs 5 pounds
Step-by-step explanation:
Let the weight of one puppy be x and the weight of adult dog be y.
Then from the first statement
3x + 3y = 60
Also from the second statement
4x + 2y = 50
combining the two equations together , we have
3x + 3y = 60 ............................... equation 1
4x + 2y = 50 ................................. equation 2
solving the system of linear equation by elimination method , multiply equation 1 by 4 and equation 2 by 3 , we have
12x + 12y = 240 ................................ equation 3
12x + 6y = 150 ....................................... equation 4
subtract equation 4 from equation 3
6y = 90
y = 15
substitute y = 15 into equation 1 to get the value of x.
3x + 3 ( 15 ) = 60
3x + 45 = 60
3x = 60 - 45
3x = 15
x = 5
1 puppy weighs 5 pounds and 1 adult dog weighs 15 pounds
