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salantis [7]
3 years ago
15

What is the inverse of division

Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
The inverse operation of division is multiplication.
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What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
6 0
3 years ago
Simplify 4a – 7b + 2ab – a + b.<br><br> -ab<br><br> 15ab<br><br> 4a – 7b + 2ab<br><br> 3a – 6b + 2ab
gizmo_the_mogwai [7]

The answer is 3a-6b+2ab

5 0
3 years ago
Read 2 more answers
A student always spends Thanksgiving with their family, who lives 99 miles away from their home in Houston. If it took them 9 ho
Harman [31]
The average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11
6 0
3 years ago
Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 c
Marat540 [252]

Answer:After choosing the color she still has the choices of brands and style so:

Tahari has 4*3=12 options left.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please helpppppppppp<br>​
sp2606 [1]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
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