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Basile [38]
3 years ago
5

Solve the equation, and check the solution. 1/3s =1/5​

Mathematics
2 answers:
Vaselesa [24]3 years ago
7 0

Answer:

3/5

Step-by-step explanation:

1/3s=1/5

s=(1/5)/(1/3)

s=(1/5)(3/1)

s=3/5

Leni [432]3 years ago
6 0

Answer:  s = 3/5 = 0.600

Step-by-step explanation:s = 3/5 = 0.600

Rearrange:

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

                    1/3*s-(1/5)=0

Step by step solution :

Step  1  :

           1

Simplify   —

           5

Equation at the end of step  1  :

  1         1

 (— • s) -  —  = 0

  3         5

Step  2  :

           1

Simplify   —

           3

Equation at the end of step  2  :

  1         1

 (— • s) -  —  = 0

  3         5

Step  3  :

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       5

       Number of times each prime factor

       appears in the factorization of: Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

5 0 1 1

Product of all

Prime Factors  3 5 15

     Least Common Multiple:

     15

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 5

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      s • 5

  ——————————————————  =   —————

        L.C.M              15  

  R. Mult. • R. Num.       3

  ——————————————————  =   ——

        L.C.M             15

Adding fractions that have a common denominator :

3.4       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:

s • 5 - (3)     5s - 3

———————————  =  ——————

    15            15  

Equation at the end of step  3  :

 5s - 3

 ——————  = 0

   15  

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:

 5s-3

 ———— • 15 = 0 • 15

  15

Now, on the left hand side, the  15  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  5s-3  = 0

Solving a Single Variable Equation :

4.2      Solve  :    5s-3 = 0

Add  3  to both sides of the equation :

                     5s = 3

Divide both sides of the equation by 5:

                    s = 3/5 = 0.600

One solution was found :

                  s = 3/5 = 0.600

BTW YOu can but the answer as 0.600 or 3/5

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Step-by-step explanation:

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Llana [10]

Answer: show A had 8394 performances.

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Step-by-step explanation:

Let x represent the number of performances of show A.

Let y represent the number of performances of show B.

As of a certain​ date, there had been a total of 14,404 performances of two shows on​ Broadway. This means that

x + y = 14404 - - - - - - - - - -1

There was 2384 more performances of Show A than Show B. It means that

x = y + 2384

Substituting x = y + 2384 into equation 1, it becomes

y + 2384 + y = 14404

2y = 14404 - 2384

2y = 12020

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4 0
3 years ago
A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w
Elanso [62]

Answer:

The regular size is more economical.

Step-by-step explanation:

Consider the provided information.

A regular tube of toothpaste costs $2.50 for 3.2 ounces.

Find out the unit rate as shown below:

\frac{\$2.50}{3.2}=\$0.78

Therefore, the cost of one ounce is $0.78.

A travel size tube costs $1.00 for 1.2 ounces.

Find out the unit rate as shown below:

\frac{\$1}{1.2}=\$0.833

Therefore, the cost of one ounce is $0.833.

From the above calculation we can observe that regular tube toothpaste price is better buy.

Now find the percent as shown:

Firs find the difference

$0.83-$0.78 = $0.05

Therefore,

\frac{0.05}{0.78}\times 100\approx 6.41

Hence, regular tube is 6.41% less costly as compare to travel size.

3 0
3 years ago
What is the rate of change of the linear relationship modeled in the table? (4 points) x y −2 5 −1 4 0 3 1 2 a −2 b −1 c negativ
Ostrovityanka [42]

Answer:

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Step-by-step explanation:

x: -2|-1|0|1

y : 5|4|3|2

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now we plug them in: \frac{4-5}{-1-(-2)}

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so -1/1 is equal to -1, meaning it's answer option b.

4 0
3 years ago
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