The solution to given expression 
is 
or 3.8571
<em><u>Solution:</u></em>
Given expression is:
<em><u>First let us convert the mixed fraction to improper fraction</u></em>
Multiply the whole number by the denominator.
Add the answer from Step 1 to the numerator.
Write answer from Step 2 over the denominator.
Thus we get,
Now the given expression becomes,
Convert the problem to multiplication by changing the division sign to multiplication and inverting the fraction to the right of the sign
Multiply the numerators, multiply the denominators, and leave the product in factored form
In decimal form we get,
Thus the solution to given expression is or 3.8571
Answer:
y = -2x
Step-by-step explanation:
We have direct variation means
y =kx
We know y and x
10 = k (-5)
Solve for k by diving by -5
10/-5 = k (-5)/-5
-2 = k
y = -2x
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
Answer: 12/5
Step-by-step explanation:
Answer: 
Step-by-step explanation:
Given
The height of the cylinder is 
The volume of the cylinder is 
The volume of the cylinder is the product of area and height
Insert the values
Thus, the area of the cross-section is
