Answer:
5 1/6
Step-by-step explanation:
Note that - ( -7 1/3) = 7 1/3. The two ' - ' signs cancel each other.
Thus, the original expression becomes -2 1/6 + 7 1/3.
Here the LCD is 6. We re-write the above expression as -2 1/6 + 7 2/6.
Reversing the order of these terms makes the work a bit easier.
7 2/6 - 2 1/6 comes out to 5 1/6
Answer:
Sqrt32 = 4
, Sqrt28 = 2
, Sqrt12 = 2
Step-by-step explanation:
Square root of 32:
First we find the prime factors of the number by making a factor tree.
32 splits into 8 and 4.
8 splits into 4 and 2
4 splits into 2 and 2
4 splits into 2 and 2
This becomes the square root of 
x x 2. It will simplify to:
4
Square root of 28:
The prime factors of this number are:
2, and 2
This simplifies to 2
Square root of 12:
The prime factors of this are:
3, 2, 2
This simplifies to:
2
Answer:
$3.75
Step-by-step explanation:
This is the answer! Just trust me!
Multiply the exponent outside the () with every exponent inside the ()
Answer:
15
Step-by-step explanation:
Let n, d, q represent the numbers of nickels, dimes, and quarters. The problem statement tells us ...
n +d +q = 37
n = d +4
q = n +2
___
Rearranging the second equation gives ...
d = n -4
Substituting that into the first, we get ...
n + (n -4) +q = 37
2n +q = 41 . . . . . . . add 4 and simplify
Rearranging the third original equation gives ...
n = q -2
Substituting into the equation we just made, we get ...
2(q -2) +q = 41
3q = 45 . . . . . . . . add 4 and simplify
q = 15 . . . . . . . . . divide by 3
Joe has 15 quarters.
_____
<em>Check</em>
The number of nickels is 2 fewer, so is 13. The number of dimes is 4 fewer than that, so is 9. The total number of coins is 15 + 13 + 9 = 37, as required.
