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.
Answer: $1117.42
Step-by-step explanation:
Given: The amount predicted by Economist =$1180
Let x be the amount spent by Americans on Summer vacation in 2014.
Therefore, According to the question, we have
5.6% of x+x=1180
Hence, the amount spent by Americans on Summer vacation in 2014 = $1117.42
So, the area of the trapezoid is 287 cm².
Answer:
(0.1,1.1)
Step-by-step explanation:
we have
Solve the system of equations by graphing
The solution is the intersection point both graphs
The solution is the point (0.081,1.093)
see the attached figure
Round to the nearest tenth ----> (0.1,1.1)
Answer:
x^2 - 8xy + 3y^2 - 2
Step-by-step explanation:
(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2
- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2
- unknown = -x^2 + 8xy - 3y^2 + 2
Unknown = x^2 - 8xy + 3y^2 - 2
Check:
(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)
= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2
= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2
= x^2 + 2
