Ben and Monica are building number patterns.
2 answers:
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Answer:
The price of each meal cost before tax is $ 6.367
Step-by-step explanation:
Given as :
The total price of three meals = $ 20.25
The sales tax included in the total price = 6 %
So, Let the cost of meal before sales tax = x
Or, x + 6 % of x = $ 20.25
or, x + 0.06 x = $ 20.25
Or, 1.06 x = $ 20.25
∴ x =
I.e x = $ 19.10
Or, price of three meals before tax = $ 19.10
so, The price of each meal = = $ 6.367
Hence The price of each meal cost before tax is $ 6.367 answer
Answer:
The complete area of the given figure is
Step-by-step explanation:
Total number of rows = 2
Squares in each row = b
So, the total number of squares in 2 rows = 2 x ( Squares in 1 row ) = 2 x b
Also, side length of 1 square = b cm
As we know, AREA OF SQUARE = SIDE x SIDE
So here, area of 1 square = Side x side = b cm x b cm =
⇒ The area of total (2b) squares = 2 b x ( Area of 1 square)
Hence, the complete area of the given figure is
The coordinates of the point S' is (2,1)
Explanation:
Given that the RST has vertices R(0,0), S(10,5) and T(5,-5)
The image R'S'T' is the image of RST after a dilation with center (0,0) and scale factor
We need to determine the coordinates of the point S'
The coordinates of S' can be determined by multiplying both the x and y - coordinates of the point S with the scale factor
Let us consider the x - coordinate of the point S and multiply it with the scale factor
Thus, we have,
x - coordinate of the point S' is given by
Thus, the x - coordinate of the point S' is 2
Similarly, the y - coordinate of the point S' can be determined by multiplying the point S with the scale factor
Thus, we have,
The y - coordinate of the point S' is given by
Thus, the y - coordinate of the point S' is 1
Hence, the coordinates of the point S' is (2,1)