What we are going to do is use the DISTRIBUTIVE PROPERTY. This distributive the numbers, to make it easier to solve.
So we will break 64 up.
64 = 60 + 4
43 = 40 + 3
60 + 40 = 100
4 + 3 = 7
100 + 7 = 107
So, 64 + 43 = 107.
Hope I helped ya!!!!!!!
Answer:
A. (1, -2)
Step-by-step explanation:
We can substitute the variables of x and y into the inequality of 
.
Let's start with A, -2 being y and 1 being x.
The absolute value of 1 is 1, and negating that gets us -1.
Indeed, -2 is less than -1! So A is a solution to the inequality.
Let's test the rest of them, just in case.
For B:
Absolute value of 1 is 1, negating it is -1.
-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.
Let's try C.
Absolute value of 1 is 1, negating it is -1.
0 is GREATER than -1, so that is not a solution to the inequality.
Hope this helped!
Monday's gas, $3.80 rounded to the nearest tenth of a dollar would be $3.80 (its already there)
Tuesday' gas, $3.85 rounded to the nearest tenth of a dollar would be $3.90
Hope this helps!! and if you ever need anything else just ask! :)
Answer:
Step-by-step explanation:
a = 5b-10
a+b = 26
(5b-10)+b = 26
b = 6
a= 5b + 10 = 40
We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
