Answer:
Matt has 7 cards.
Step-by-step explanation:
Let K, M and Z represent number of cards that Kate, Matt and Zach have.
We have been given that together Kate and Matt have 47 cards. We can represent his information in an equation as:
We are also told that Kate and Zach combine cards they have 126. We can represent his information in an equation as:
Further, Matt and Zach combine they have 93. We can represent his information in an equation as:
Upon subtracting equation (3) from equation (2), we will get:
Upon substituting this value in equation (1), we will get:
Therefore, Matt has 7 cards.
Answer:
m = -1
Step-by-step explanation:
The slope of the line is -1
Answer:
The length of the third side is ( x - 2 )
Step-by-step explanation:
Volume of a box is the product of its length, width and height.
Volume of box = length × width × height.
One side is (x - 4) and another side is (2x + 1).
These given sides can be either length, height or width.
The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.
Product of the two given sides =
( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4
= 2x^2 - 7x - 4
The long division is shown on the attached photo
The length of the third side is ( x - 2 )
we have (-3,10) and (7,4), then
