Answer:
(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal
Step-by-step explanation:
Simplify the following:
(12 + 2/3)/(2 + 1/3)
Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:
(12 + 2/3)/((3×2)/3 + 1/3)
3×2 = 6:
(12 + 2/3)/(6/3 + 1/3)
6/3 + 1/3 = (6 + 1)/3:
(12 + 2/3)/((6 + 1)/3)
6 + 1 = 7:
(12 + 2/3)/(7/3)
Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:
((3×12)/3 + 2/3)/(7/3)
3×12 = 36:
(36/3 + 2/3)/(7/3)
36/3 + 2/3 = (36 + 2)/3:
((36 + 2)/3)/(7/3)
36 + 2 = 38:
(38/3)/(7/3)
Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:
(38×3)/(3×7)
(38×3)/(3×7) = 3/3×38/7 = 38/7:
Answer: 38/7
Answer:
Its 8.5
Step-by-step explanation:
I calculator
12.4+-3.9=8.5
Answer:
$39.24
Step-by-step explanation:
Let's determine the sale price before tax:
0.40($60) = $24 is the discount, so
the sale price is $60 - $24, or $36.
Multiplying this result by 1.09 results in the total price, including tax. It is $39.24.
The answer is: "
11 " .
____________________________________________________ → "
x = 11 " .
____________________________________________________Explanation:____________________________________________________Set up the ratio/ proportion as a fraction:
6 cm / 48 cm = 5 cm / (3x + 7) ;
→ The "cm" units cancel out; since: "cm/cm = 1 " ;
→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) = " 1/8 " ;
→ Rewrite as:

;
Now, we can "cross-multiply" :
__________________________________________________<u>Note</u>: 
;

;
{b

; d

} .
__________________________________________________ As such:
1 * (3x + 7) = 8 * 5 ;
→ 3x + 7 = 40 ;
Subtract "
7" from each side of the equation:
→ 3x + 7 − 7 = 40 <span>− 7 ;
</span>
to get:
→ 3x = 33 ;
Now, divide each side of the equation by "
3" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 3x / 3 = 33 / 3 ;
to get:
____________________________________________________ → "
x = 11 " .
____________________________________________________ →
The answer is: "
11 " .
____________________________________________________