Compatible numbers are numbers which are easy to do mental calculation.
For example is when doing division like 25 and 5, 100 and 10, and 36 and 6.
First, we know that: 7 pounds=5 pounds + 2 pounds
or 7=5+2
In mathematics, the word “of” means to multiply. So:
grapes
given away = 7 * (2/5)
Replacing 7 with 5 and 2:
=
(5+2)*(2/5)
Using the distribution principle:
=5*(2/5)
+ 2*(2/5)
=2+
4/5
=2
4/5
So grapes given away is 2 4/5 pounds.
I would recommend MathPapa for this.
The answer is the second option, option B, which is: B. <span>W'(2,8), X'(2,2), Y'(8,2)
</span> The explanation is shown below:
You have the Triangle WXY has coordinates W(1,4), X(1,1), and Y(4,1) and the Triangle of the option B has coordinates W'(2,8), X'(2,2), Y'(8,2). As you can notice, the coordinates of the new triangle are the result of multiply the coordinates of the original triangle by a scale of factor of 2. Therefore, in other words, the Triangle WXY was dilated with a scale of factor of 2.
Given:
The three equations for the three numbers are
To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get
In the same way find b and c.
The third number is
The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
