All categories

4 years ago

Solve 3m+7/2=−2m+5/2 what is m

2 answers:

5 0

Solve for m:3 m + 7/2 = 5/2 - 2 m
Put each term in 3 m + 7/2 over the common denominator 2: 3 m + 7/2 = (6 m)/2 + 7/2:(6 m)/2 + 7/2 = 5/2 - 2 m
(6 m)/2 + 7/2 = (6 m + 7)/2:(6 m + 7)/2 = 5/2 - 2 m
Put each term in 5/2 - 2 m over the common denominator 2: 5/2 - 2 m = 5/2 - (4 m)/2:(6 m + 7)/2 = 5/2 - (4 m)/2
5/2 - (4 m)/2 = (5 - 4 m)/2:(6 m + 7)/2 = (5 - 4 m)/2
Multiply both sides by 2:6 m + 7 = 5 - 4 m
Add 4 m to both sides:6 m + 4 m + 7 = (4 m - 4 m) + 5
4 m - 4 m = 0:6 m + 4 m + 7 = 5
6 m + 4 m = 10 m:10 m + 7 = 5
Subtract 7 from both sides:10 m + (7 - 7) = 5 - 7
7 - 7 = 0:10 m = 5 - 7
5 - 7 = -2:10 m = -2
Divide both sides of 10 m = -2 by 10:(10 m)/10 = (-2)/10
10/10 = 1:m = (-2)/10
The gcd of -2 and 10 is 2, so (-2)/10 = (2 (-1))/(2×5) = 2/2×(-1)/5 = (-1)/5:Answer: m = (-1)/5

Dovator [93]4 years ago

4 0

Answer:

-2/5

Step-by-step explanation:

3m + 7/2 = -2m + 5/2

3m + 7 = -2m + 5

5m = -2

m = -2/5

You might be interested in

Find the measure of angle J. 123° 237° 57° 115°

Bumek [7]

Answer:

57. You Take 180 And Subtract It From The 65 And 58 To Get Your Answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

A total of 12,650 voters completed an online survey that asked if they are going to vote for a certain political canidate in an

Masteriza [31]

Answer:You have roughly the same chance of being called as anyone else living in the United States who has a telephone. This chance, however, is only about 1 in 154,000 for a typical Pew Research Center survey. To obtain that rough estimate, we divide the current adult population of the U.S. (about 235 million) by the typical sample size of our polls (usually around 1,500 people). Telephone numbers for Pew Research Center polls are generated through a process that attempts to give every household in the population a known chance of being included. Of course, if you don’t have a telephone at all (about 2% of households), then you have no chance of being included in our telephone surveys.

Step-by-step explanation:

5 0

3 years ago

Given the following function, find f(-5), f(0), and f(2). f(x) = - 3x-5 f(-5) =

solniwko [45]

Answer:

10, -5, -11

Step-by-step explanation:

f(x) = - 3x-5

f(-5) = -3(-5) - 5 => 15 - 5 => 10

f(0) = -3(0) - 5 => 0 - 5 => -5

f(2) = -3(2) - 5 => -6 - 5 => -11

4 0

3 years ago

What’s the solution to the system of equations graphed below?

Dmitriy789 [7]

Looks like the two lines meet at (1,-1) so B is the answer.

4 0

4 years ago

A scooter travels 18 miles in the same time a bike covers 8 miles. If the rate of the scooter is two miles per hour than twice t

blsea [12.9K]

ANSWER:

A scooter travels 18 miles in the same time a bike covers 8 miles.The rates of both scooter and bike are 8 miles per hour and 18 miles per hour

SOLUTION:

Given, a scooter travels 18 miles in the same time a bike covers 8 miles.

The rate of the scooter is two miles per hour than twice the rate of the bike

We need to find both rates of scooter and bike.

Let the speed of scooter be x and speed of bike be y.

And, time taken to travel be t.

Then, for scooter:

$\bold{distance = speed \times time}$

$18 = x \times t$

$t=\frac{18}{x}$ --- (1)

For bike:

$\bold{distance = speed \times time}$

$8=y \times t$

$\mathrm{t}=\frac{8}{y}$ --- (2)

Now, equate both (1) and (2)

$\frac{18}{x}=\frac{8}{y}$

On cross-multiplication we get

18y = 8x

4x – 9y = 0 ---- (3)

We also know that, rate of the scooter is two miles per hour than twice the rate of the bike.

x = 2 + 2y ---- (4)

Now substitute (4) in (3)

4(2 + 2y) – 9y = 0

8 + 8y – 9y = 0

9y – 8y = 8

y = 8.

Again substitute y value in (4)

x = 2 + 2(8) = 2 + 16

x = 18.

Hence, the rates of both scooter and bike are 8 and 18 miles per hour

8 0

4 years ago