Answer:
24
Step-by-step explanation:
To find the range, you must subtract the lowest value from the highest value in the data set. If you organize the set from least to greatest, 72 is the lowest, and 96 is the highest.
So, 96 - 72 = 24, which is the range.
In both of these you are looking at a 45-45-90 triangle, which has special properties. In these triangles, the hypotenuse is (leg)<span>√2
10: AB=7
It is also an isosceles triangle
11: AB=5 </span><span />
There are 19 true or false questions. Therefore there are 19 options for true, 19 options for false, and 19 options to leave each question blank. So 19 + 19 + 19 = 57. There are 57 possibilities to answer (or leave blank) the questions.
Answer:
a one solutions x=3
b one solution x=36
c infinite solutions
Step-by-step explanation:
(a) 4x + 2(x – 1) = 10 + 2x
Distribute
4x+2x-2 = 10+2x
Combine like terms
6x-2 = 10+2x
Subtract 2x from each side
6x-2x-2 = 10+2x-2x
4x-2 = 10
Add 2 to each side
4x-2+2 =10+2
4x=12
Divide by 4
4x/4 = 12/4
x=3
There is one solution
(b) 30 – x = 10 – (6 + 10)
Distribute the minus sign
30-x = 10-6-10
30-x=-6
Subtract 30 from each side
30-x-30 = -6-30
-x = -36
Multiply by -1
x = 36
(c) 8x = 4x + 4x + 10(x-x)
Parentheses first
8x = 4x+4x+10(0)
8x=4x+4x
Combine like terms
8x=8x
Subtract 8x from each side
8x-8x=8x-8x
0=0
This is always a true statement
x =all real numbers
infinite solutions