All categories

3 years ago

If 2x + y = 6 and m - n = 2, what is the value of (4x + 2y)(4m - 4n)

Mathematics

2 answers:

Keith_Richards [23]3 years ago

6 0

Answer:

Step-by-step explanation:

(4x + 2y)(4m - 4n) = ?

We have an equation

2x+y =6

Multiply it by 2

2(2x+y) = 2*6

Distribute

4x+2y = 12

Substitute 12 in for 4x+2y into the original problem

12(4m - 4n) = ?

We have an equation

m-n = 2

Multiply this by 4

4(m-n) = 4*2

Distribute

4m-4n = 8

Substitute 8 in for 4m -4n in 12(4m - 4n) = ?

12 * 8 = ?

Free_Kalibri [48]3 years ago

3 0

Answer:

Step-by-step explanation:

If m - n = 2, then 4m - 4n = 4(m - n) = 4(2).

Then (4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y).

But we are told that 2x + y = 6. Multiplying all terms by 2, we get

4x + 2y = 12. Substituting 12 for 4x + 2y, we get our final answer:

(4x + 2y)(4m - 4n) equals (4x + 2y)(8), or 8(4x + 2y), or 8(12) = 96

You might be interested in

Multi step equations

miv72 [106K]

-86 = -6(-3p - 3) - 5p

Distribute the -6 into the parentheses:

-86 = (-6 * -3p) + (-6 * -3) - 5p

-86 = 18p + 18 - 5p

Simplify:

-86 = 13p + 18

Subtract both sides by 18:

-86 - 18 = 13p + 18 - 18

-104 = 13p

Divide both sides by 13:

$\frac{13p}{13}$ = $\frac{-104}{13}$

$\frac{p}{1}$ = $\frac{-8}{1}$

p = -8

Good luck! If you have any questions, don't be afraid to ask :))

-T.B.

6 0

3 years ago

Read 2 more answers

If the average adult produces $110,000 of output per year, how much output is lost annually as a result of adult deaths from sec

posledela

The answer to the given question above would be $47,859,000,000 or $48 billion. Given that the average adult produces $110,000 of output per year, the amount of output that is lost annually as a result of adult deaths from secondhand smoke is $48 billion.
600,000 total deaths
165,000 children 
435,000 adults 
435,00 times $110,00 output per year = $47,859,000,000
Hope this helps.

3 0

3 years ago

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o

Fofino [41]

The answer is -|0.35 t -14| +14

Step-by-step explanation:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.