The percentage decrease in the number of cookies is given by the equation A = 62.5 %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage decrease be represented as A
Now , the equation will be
The initial number of cookies = 48 cookies
The final number of cookies = 18 cookies
So , the change in number of cookies = 48 - 18 = 30 cookies
So , the percentage decrease in cookies = ( change in number of cookies / initial number of cookies ) x 100
Substituting the values in the equation , we get
The percentage decrease in cookies A = ( 30/48 ) x 100
On simplifying the equation , we get
The percentage decrease in cookies A = 0.625 x 100
The percentage decrease in cookies A = 62.5 %
Therefore , the value of A is 62.5 %
Hence , the percentage decrease is 62.5 %
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Answer:
40 games
Step-by-step explanation:
We can use ratios to solve
8 passes x passes
--------------- = -----------
3 games 15 games
Using cross products
8 * 15 = 3 *x
120 = 3x
Divide each side by 3
120/3 = 3x/3
40 = x
Answer:
Bobby catches 40 passes
Step-by-step explanation:
(8 ÷ 3) × 15
8 ÷ 3 is to find how many passes Bobby catches per game.
Multiply the catches per game by 15 to find the total catches.
Hope this helps!
Prove that the quadrilateral whose vertices are I(-2,3), J(2,6), K(7,6), and L(3, 3) is a rhombus.
I think in these problems the first step is to express each side as a vector. A vector is the difference between points. When two sides have the same vector (or negatives) it means they're parallel and congruent. So in a rhombus IJKL the vectors IJ and LK should be the same, as should JK and IL. That much assures a parallelogram; we check IJ and JK are congruent to complete the crowing of the rhombus.
Let's calculate these vectors:
IJ = J - I = (2,6) - (-2,3) = (2 - -2, 6 - 3) = (4, 3)
LK = K - L = (7, 6) - (3, 3) = (4, 3)
IJ = LK, so far so good
(Note: If you haven't got to vectors yet you can just show the two sides are the same length, 5, and have the same slope, 3/4, both of which can be read off the vectors.)
JK = K - J = (7,6) - (2,6) = (5,0)
IL = L - I = (3, 3) - (-2, 3) = (5, 0)
Those are the same too.
Now we have to show IJ ≅ JK
The length of IJ is the cliche √4²+3² = 5, the same as JK, so IJ ≅ JK
We showed all four sides are congruent and we have two pair of parallel sides, so we have a rhombus.