solve the following equation(2m)/3 + 1/2 - m/5 = (4m)/5 + 5​

Answers

Answer 1

Answer:

m = - 13.5

Step-by-step explanation:

Given

[tex]\frac{2m}{3}[/tex] + [tex]\frac{1}{2}[/tex] - [tex]\frac{m}{5}[/tex] = [tex]\frac{4m}{5}[/tex] + 5

Multiply through by 30 ( the LCM of 3, 2, 5 ) to clear the fractions

20m + 15 - 6m = 24m + 150 , that is

14m + 15 = 24m + 150 ( subtract 24m from both sides )

- 10m + 15 = 150 ( subtract 15 from both sides )

- 10m = 135 ( divide both sides by - 10 )

m = - 13.5


Related Questions

Write
3
_
6
in lowest terms.

Answers

Answer:

1/2

Step-by-step explanation:

3 is half of 6  so the smallest term would be 1/2.

1/2 is the correct answer, hope this helps

3 divided by 45 I need help I stink at division

Answers

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning



Is Beryllium a gas, solid, or liquid? *

Answers

Answer:

solid

Step-by-step explanation:

solid..... ......!!!!!!!!

Answer:

beryllium is a solid substance

Step-by-step explanation:

beryllium solid at room temperature

Find the x- and y-intercepts of each line and write the equation in standard form.

y=-4/3x+6

Answers

Answer:

Standard form: [tex]4x + 3y = 18[/tex]

x-intercept:  [tex](\frac{9}{2} ,0)[/tex]

y-intercept: [tex](0,6)[/tex]

Graphed:

Monique has 12$ in her account, and she withdraws 40$ from the ATM.

Answers

Well she will either get denied or over draft to make her total -28$

Answer: -$28

Step-by-step explanation: Since Monique has $12, then she subtracts $40 from that. 12 - 40 = -28.

Hope this helps!

Solve:
a. 5y – 3 = – 18
b. -3x – 9 = 0
c. 4 + 3(z - 8) = -23
d. 1 – 2(y – 4) = 5

Answers

Answer:

a. y = -3

b. x = -3

c. z = - 1

d. y = -7

Step-by-step explanation:

a. 5y - 3 = - 18

5y = -18 +3

5y = -15

y = -15/5

y = - 3

b. -3x - 9 = 0

-3x = 9

x = 9/-3

x = -3

c. 4 + 3(z-8)= -23

4 + 3z-24 = -23

3z - 20 = -23

3z = -23 + 20

3z = -3

z = -3/3

z = - 1

d. 1 - 2(y-4) = 5

1 - 2y + 8 = 5

9 - 2y = 5

-2y = 14

y = 14/-2

y = -7

evaluate x^2 for x=.5, 1, -1​

Answers

Answer:

Step-by-step explanation:

5^2=.25

1^2=1

-1^2=-1

Find x if the perimeter is 23.

Answers

[tex]\\ \sf\longmapsto 4x+3x-5+2x+1=23[/tex]

[tex]\\ \sf\longmapsto 7x+2x-5+1=23[/tex]

[tex]\\ \sf\longmapsto 9x-4=23[/tex]

[tex]\\ \sf\longmapsto 9x=23+4[/tex]

[tex]\\ \sf\longmapsto 9x=27[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{27}{9}[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

First, we know that the perimeter in total is 23. So, we need to make sure that all of the sides combined are 23. The equation becomes:

3x - 5 + 2x + 1 + 4x = 23

Let's simplify this.

3x + 2x + 4x - 5 + 1 = 23

Simplify again.

3x + 2x + 4x - 5 + 1 = 23

5x + 4x - 5 + 1 = 23

9x - 5 + 1 = 23

9x - 4 = 23

Now we have the simplified equation of 9x - 4 = 23. Now we must solve for x.

9x - 4 (+ 4) = 23 (+ 4)

9x = 27

9      9

x = 3

Now we can see that x = 3, which should be our answer. To make sure, let's plug it into the equation.

[3(3) - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + 12 = 23

4 + [6 + 1] + 12 = 23

4 + 7 + 12 = 23

11 + 12 = 23

23 = 23

As you can see, we got the answer 23 = 23. That indeed means that x = 3. Hope this helps!

the difference between a number f and 2

Answers

Answer:

f-2

Step-by-step explanation:

difference means subtractions

f-2

Can someone explain me how to do this

Answers

8) v = -3

9) m = 4

Explanation:

8)

[First distribute the factored terms on the left side of the equation]

2(v + 4) + 3(4v + 5) = -19 →

2(v) + 2(4) + 3(4v) + 3(5) = -19 →

2v + 8 + 12v + 15 = -19 →

[Next, add the like terms together]

(2v + 12v) + (8 + 15) = -19 →

14v + 23 = -19 →

[Subtract 23 from both sides to isolate the constant term]

14v + 23 – 23 = -19 – 23 →

14v = -42 →

[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]

14v / 14 = -42 / 14 →

v = -3

9)

[Start by distributing the factored term on the left side of the equation]

2(m – 1) = 10 – m →

2m – 2 = 10 – m →

[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]

2m – 2 + m = 10 – m + m →

3m – 2 = 10 →

[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]

3m – 2 + 2 = 10 + 2 →

3m = 12 →

[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]

3m / 3 = 12 / 3 →

m = 4

-4a-(8a+1)= -169

Explain

Answers

[tex] - 4a - (8a + 1) = - 169 \\ \\ 4a + 8a + 1 = 169 \\ \\ 4a + 8a = 169 - 1 \\ \\ 12a = 169 - 1 \\ \\ 12a = 168 \\ \\ a = \frac{168}{12} \\ \\ a = 14 \\ \\ this \: was \: helping \: you[/tex]

Step-by-step explanation:

Okay so remember the BODMAS rule where u start with brackets right; Since we're proving that RHS =LHS ,we look at the side which is more complicated and solve it first.

RHS: -4a-(8a+1) =-169

-4a-8a-1=-169

-4a-8a= -169+1 ( N:B like terms)

-12a= -168

-12a/-12= -168/-12

a= 14

Then go back to the original equation and subtitute .

where u see a u put the value u calculated.

-4a-(8a+1)=-169

-4(14)-(8(14)+1)= -169

-169= -169 and u DONE!!

can someone pls help

Answers

Answer:

x = 35

Step-by-step explanation:

Sum of angles of triangle = 180°

60 + 60 + 4x - 80 = 180 40 + 4x = 180 4x = 140x = 140/4 x = 35°

❒ Required Solution:

We are here to find the three angles with the help of the angle sum property (Sum of the angles of a triangle = 180°). So, using this property we can find all the angles.

❍ According to the question :

[tex]\\ \tt \implies \: 60{}^{ \circ} + 60{}^{ \circ} +(4x - 80) {}^{ \circ} = 180{}^{ \circ} \\ \\ \\ \implies \tt \: 120{}^{ \circ} - 80{}^{ \circ} + 4x = 180{}^{ \circ} \: \: \: \: \: \: \\ \\ \\ \implies \tt 40{}^{ \circ} + 4x = 180{}^{ \circ} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies \tt \: 4x = 180{}^{ \circ} - 140{}^{ \circ} \: \: \: \: \: \: \\ \\ \\ \tt \implies \: 4x = 140{}^{ \circ} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \implies \tt \: x = \frac{140}{4} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \tt \implies \: { \boxed{ \mathfrak{ \pmb{ \pink{x = 35}}}}} \bigstar \\ \\ \\ [/tex]

Help pleaseeeeeeeeeee

Answers

Answer:

3(x+5)

hope it helps you

The area of a circle of radius 3 cm is approximately equal to

Answers

28.27 to be exact. 28.3 if rounding up, 28 if rounding down

Solve each equation 3m-3/5=2m-1/2

Answers

Answer:

m= 1/10

Step-by-step explanation:

1. Move the terms so that will be 3m - 2m=-1/2 + 3/5

2. Subtract the m values so that will be 3m - 2m= 1 or m

3. Calculate the sum.

4. So the answer will be m= 1/10. M because we subtracted 2 from 3 which make us 1 so we say it m and 1/10 by doing 1/2 + 3/5.

Answer:

Step-by-step explanation:

3m - 3/5 = 2m - 1/2

3m - 2m = 3/5 - 1/2

m = 0.1

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP DECIMAL WORD PROBLEM INTO EQUATION

Answers

Answer:

136 miles

Step-by-step explanation:

Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.

Let x = number of miles.

The total cost is the cost per mile plus the base fee.

1 mile costs $0.90

2 miles cost $0.90 * 2

x miles cost $0.90 * x, or simply 0.9x

The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95

The equation

c = 0.9x + 16.95

gives you the cost, c, for a rental of x miles.

We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.

139.35 = 0.9x + 16.95

Switch sides.  

0.9x + 16.95 = 139.35

Subtract 16.95 from both sides.

0.9x = 122.4

Divide both sides by 0.9

x = 122.4/0.9

x = 136

Answer: 136 miles

(6x^2-3)-(4x+7)

Help fast please!!

Answers

Answer:

6x^2-4x-10

Step-by-step explanation:

Do you need to show work?

Find the distance between the points (

18,4) and (

18,

20).

Answers

Answer:

(-18,4) is 16 units below (-18,20). hope this helps

Step-by-step explanation:

- Zombie

what is -9/14 + 2/7 as a fraction in simplest form

Answers

Answer:

-5/14 (change 2/7 to 4/14 and it’ll help)  

in the figure below the measure of <1=5x°, the measure of <2=y°, and the measure of <3=85°. Find the value of each variable.

(for the first one <1=5x° I found out x=17 so I just need the rest if you can) ​

Answers

Answer:

y=95

Step-by-step explanation:

17x5=85

180-85=95

y=95

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles. The value of x and y is 17 and 95, respectively.

What are vertical angles?

Each of the pairs of opposite angles made by two intersecting lines is called a pair of vertical angles.

The measure of ∠1 and ∠3 will be equal since the two angles are vertical angles. Therefore, we can write.

∠1 = ∠3

5x° = 85°

x = 85° / 5

x = 17°

Also, the sum of measures ∠1 and ∠2 will be equal to 180°, this is because the two angles form a pair of linear angles. Therefore, we can write,

∠1 + ∠2 = 180°

5x + y = 180°

Substitute the value of x,

5(17°) + y = 180°

85° + y = 180°

y = 180° - 85°

y = 95°

Hence, the value of x and y is 17 and 95, respectively.

The complete question is mentioned below.

Learn more about Vertical Angles here:

https://brainly.com/question/24460838

#SPJ2

could someone break this down to me

Answers

Answer:

2

Step-by-step explanation:

1. 2^2 = 4

|7+4|

2. 7+4 = 11

|11|

3. 4 * 11 = 44

2+44

4. 44 + 2 = 46

46

5. 4 * 2 = 8

[8 + 5 * 3]

6. 5 * 3 = 15

[8+15]

7. 8 + 15 = 23

46/23

8. 46/23 = 2

2

FINAL ANSWER:

2

the set of whole numbers and their opposites​

Answers

Answer:

Integers

Step-by-step explanation:

Robert,Susan,and Todd are standing in a line. How many ways can they be arranged.

Answers

Answer:

They can be arranged 6 times

Step-by-step explanation:

Robert, Susan, Tod... Tod, Susan, Robert... Susan, Robert, Tod... Tod, Robert, Susan... Susan, Tod, Robert... Robert, Tod, Susan.

PLEASE HELP THIS IS DUE TODAY :((

The picture is attached below

The question is

Given the piecewise function shown below select all of the statements that are true

Answers

A is true: 1 > 0, and f (1) = 1² - 1 = 0.

B is false: -2 < 0, so f (-2) = -(-2) + 1 = 3.

C is false: 4 > 0, and f (4) = 4² - 1 = 15.

D is true: -1 < 0, so f (-1) = -(-1) + 1 = 2.

Which of the following is the graph of f(x) = |xl translated 2 units right, 2 units up, and dilated by a factor of 1/3?

Answers

Answer:

Its the C graph

Step-by-step explanation:

To take a taxi, it costs $3.00 plus an additional $2.00 per mile traveled. You spend $20 on the taxi. How many miles did you go?

Answers

Answer: 8.5 miles

Step-by-step explanation:

Given information

Base fee = $3.00

Fee per mile = $2.00

Distance = x

Total money spend = $20

Set equation

3 + 2x = 20

Subtract 3 on both sides

3 + 2x - 3 = 20 - 3

2x = 17

Divide 2 on both sides

2x / 2 = 17 / 2

[tex]\boxed{x=8.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Pls answer these questions

Answers

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

7
9
20
3
9
A number is removed from this list and the median and range do not change
Write down this number.

Answers

Hope it a right answer for you

Answer:

Removing the number 7 wont change the median nor the range

Hey, can someone help me with 8 math problems of numbers in their prime factored form? I have no idea how to do this and my teacher didn't really explain very well, so this would be a big help!

Answers

Prime factorization is shows you the only way a number can be factored.

Here are some examples:

6 = 2 x 3

(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.

Here are some more examples:

12 = 2 x 2 x 3

45 = 5 x 3 x 3

now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;

Factor out 42.

first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:

42 = 6 x 7

Is this equation done?

No it is not, 6 can still be factored.

What two numbers get you the product of 6?

they are 3 and 2.

Now the final factored out equation looks like this:

42 = 3 x 2 x 7

----------------------------

I hope this helps!

Joan joined her school's band. She bought a viola for $72.21, and a song book
which was $7.25 with a $100 bill. How much change was Joan given?

Answers

Hello :D

To do this you need to add the cost of the violin and the song book.

$72.21 + $7.25 = $79.46

$100 - $79.46 = $20.54

The answer is $20.54. I hope this helps :)

$100-$72.21-$7.25=$20.54
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