# Solve the equation- 1- m - 7 = 53

1/3m-7=5

One solution was found :

m = 36
Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

1/3*m-7-(5)=0

Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

1
((— • m) - 7) - 5 = 0
3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 3) m - 21
——————————— = ——————
3 3
Equation at the end of step 2 :

(m - 21)
———————— - 5 = 0
3
Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(m-21) - (5 • 3) m - 36
———————————————— = ——————
3 3
Equation at the end of step 3 :

m - 36
—————— = 0
3
Step 4 :

When a fraction equals zero :

4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

m-36
———— • 3 = 0 • 3
3
Now, on the left hand side, the 3 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :
m-36 = 0

Solving a Single Variable Equation :

4.2 Solve : m-36 = 0

Add 36 to both sides of the equation :
m = 36

One solution was found :

m = 36

I happen this help

## Related Questions

Write the slope-intercept form of the equation : a) 4x-2y = 3​

Step-by-step explanation:

slope-intercept form: y = mx + b

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Subtraction

~

First, subtract 4x from both sides of the equation:

4x (-4x) -2y = (-4x) + 3

-2y = -4x + 3

Next, divide -2 from both sides of the equations:

~

I need help i will give the brainliest

13) -6

14) 6

15) -5

16) 3

17) 14

18) -4

19) -15

20) 4

21) 5

22) -12

I NEED HELP WITH #5 PLZ ! Need by midnight and plz tell me how you solved it. Thank you in advance.

Perimeter A  = 122.5

Step-by-step explanation:

Set up the following proportion

The Perimeter of B = 12 + 9 + 9 + 5

The Perimeter of B = 35

7/2 = x/PerimeterB

7/2 = x / 35                   Cross multiply

7*35 = 2x                      Combine the left side

245  = 2x                      Divide by 2

245/2 = 2x/2                Do the division

122.5 = x

The Perimeter of A = 122.5

Problem 3

If you compare the sides opposite the angle marked with a single arc, you will get the scale factor.

If these triangles are similar, and one of the sides opposite their markings will give you the scale factor

18/7.2 = x/1 where x is the scale factor going from the larger to the smaller triangle.

2.5 = x

So if you multiply the smaller triangle's sides by 2.5 you get the larger triangle.

The number line below shows points A B C D and Ea. subtracting 2 from point e
b. adding -4 to point b
c. adding -9 to point a
d. subtracting 14 from point c​

the answer to this is B

Which of the following statements best describes adjacent angles

The statement that best describes adjacent angles is that adjacent angles share a side.

### What is a vertex ?

A vertex is where two non parallel lines meet.For example a triangle has 3 vertex.We can also say that vertex is a point where two non parallel lines meet to form an angle.

According to the given question the best description of adjacent angle is that they share a side.

We can say that adjacent angles are those angles which are placed next to each other.

Adjacent angle also share a common vertex but they do not overlap each other.

brainly.com/question/12563262

#SPJ2

The correct answer to this would be D, adjacent angles share a side.

Step-by-step explanation:

Adjacent angles share a common side as well as a common vertex.

I hope this helps :)

red and blue ceramic tiles are laid according to a pattern such that every 21 red tiles used, 4 blue tiles are used. if a total of 425 tiles are used, how many of them are blue? setup a proportion for this scenario( use x for your unknown number of blue tiles).

Using proportions, it is found that there are 68 blue tiles.

• This question is solved by proportions, using a rule of three.
• For every 21 red tiles used, 4 blue tiles are used, hence, out of every 25 tiles, 4 are blue. How many blue tiles are there out of 425?

The rule of three is:

4 blue - 25 total

x blue - 425 total

Applying cross multiplication:

There are 68 blue tiles.

To determine the number of blue tiles used in a pattern, a proportion can be set up with the ratio of red to blue tiles and the total number of tiles. By setting the unknown number of blue tiles as x and cross-multiplying, we find that there are 68 blue tiles used.

### Explanation:

To solve how many blue tiles are used, we can set up a proportion based on the given pattern. For every 21 red tiles, there are 4 blue tiles. If a total of 425 tiles are used, we can express this relationship as a fraction:

Red tiles : Blue tiles = 21 : 4

Since the total number of tiles is 425, we can express the unknown number of blue tiles as x. The number of red tiles would then be 425 - x. Our proportion is:

21 / 4 = (425 - x) / x

Cross-multiplication gives us:

21x = 4(425 - x)

Solving for x gives us:

21x = 1700 - 4x

21x + 4x = 1700

25x = 1700

x = 1700 / 25

x = 68

So, there are 68 blue tiles used.