If m + 4n = 2n + 8m ; what is the ratio of n to m ?a) 1:4, b) 1:-4, c) -4:1, d) 2:7, e) 7:2

Answers

Answer 1

Answer: m + 4n = 2n + 8m

To answer the ratio, massage this equation around to find ' n/m ' .

Let's subtract 'm' from each side:

4n = 2n + 7m

Subtract '2n' from each side:

2n = 7m

Divide each side by 'm' :
2 (n/m) = 7

Divide each side by 2 :

n/m = 7/2 . . . . . there's your ratio. That's choice-'e'.

Answer 2

Answer: $m + 4n = 2n + 8m\n 7m=2n\n m=(2)/(7)n\n\n (n)/(m)=(n)/((2)/(7)n)=(7)/(2)$

Related Questions

Three of the thirty computers are out of service (not working). What percent are working?
Write the equation in standard form 6x=y+3
Explain why 1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2. (please i need help on this)
Identify the range of the function. A) (2, 8) B) [2, 8] C) (−5, 9) D) [−5, 9]

Please help! Question above

Answers

2nd answer is corrrrrect

Ryan has an eight-year loan for $6,000. He is being charged an interest rate of 5 percent, compounded annually. Calculate the total amount that he will pay.

Answers

Given:
Principal : $6,000
Interest Rate: 5%
Term : 8 years, compounded annually.

The term compounded annually is a hint that informs us to use the compounded interest formula instead of the simple interest formula.

Compounded interest formula is:

A = P(1 + r/n)^nt

where:
A = future value of loan or investment including the interest
P = principal
r = rate
n = the number of times the interest is compounded per year
t = the number of years the money is borrowed or invested

A = P (1 + r/n)^nt
A = 6,000 (1 + 0.05/1)¹ * ⁸
A = 6,000 (1.05)⁸
A = 6,000 (1.48)
A = 8,880

The total amount Ryan will pay after 8 years is $8,880.00

Can someone help please!!!!!

Answers

Answer:

${x}^(2) - 3$

Year 9 students from a school were asked to choose one language to study this table shows information on their choices.language number of students
french 17
german 35
itallian 38

Answers

Answer:

Step-by-step explanation:

Darnell's car used 8 gallons of gasoline to travel 340 miles. after a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. If the price of the gasoline was approximately $4.00 per gallon, how much lest to the nearst cent per mile, did it cost to run the car after the mechanic worked on it?

Answers

so, after the mechanic worked on it, it only does 7 gallons for 350miles, how many gallons will it be at that rate, for 340 miles then?

$\bf \begin{array}{ccll}gallons&miles\n\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\n7&350\nx&340\end{array}\implies \cfrac{7}{x}=\cfrac{350}{340}\implies \cfrac{7\cdot 340}{350}=x\implies 6.8=x$

well, each gallon is 4 bucks, for 6.8 gallons that'd be 6.8*4.

we already know that before the mechanic worked on it, it was doing 8gallons for the same 340 miles, and at 4 bucks a gallon that'd be 8*4.

how much is her savings?

$\bf \stackrel{\stackrel{\textit{gallons cost}}{\textit{before being fixed}}}{(8\cdot 4)}\qquad -\qquad \stackrel{\stackrel{\textit{gallons cost}}{\textit{after it was fixed}}}{(6.8\cdot 4)}$

Which equation is quadratic in form?2(x + 5)2 + 8x + 5 + 6 = 0
x6 + 6x4 + 8 = 0
7x6 + 36x3 + 5 = 0
4x9 + 20x3 + 25 = 0