A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece​ be?

Answer:

a=9

Step-by-step explanation: 

(3a+1)/7=4

This deals with linear equations with one unknown.

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Steps

Terms and topics

1 result(s) found

a=9

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Step by Step Solution:

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Rearrange:

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

                    (3*a+1)/7-(4)=0  

Step by step solution :

STEP

1

:

           3a + 1

Simplify   ——————

             7    

Equation at the end of step

1

:

 (3a + 1)    

 ———————— -  4  = 0  

    7        

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        4     4 • 7

   4 =  —  =  —————

        1       7  

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:

(3a+1) - (4 • 7)     3a - 27

————————————————  =  ———————

       7                7    

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  3a - 27  =   3 • (a - 9)  

Equation at the end of step

3

:

 3 • (a - 9)

 ———————————  = 0  

      7      

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:

 3•(a-9)

 ——————— • 7 = 0 • 7

    7    

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  3  •  (a-9)  = 0

Equations which are never true:

4.2      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.3      Solve  :    a-9 = 0  

Add  9  to both sides of the equation :  

                     a = 9

One solution was found :

a = 9

Hope this helps! Please mark Brainliest!

Answer:

The integers are "closed" under addition, multiplication and subtraction, ... The rational numbers are "closed" under addition, subtraction, and multiplication

Step-by-step explanation:

Answer:

[tex]\boxed{m = -38}[/tex]

Step-by-step explanation:

[tex]-(6m+8) =4(17-m)[/tex]

→ Expand brackets

[tex]-6m-8=68-4m[/tex]

→ Add 8 to both sides to collect the whole numbers

[tex]-6m = 76-4m[/tex]

→ Add -4m to both sides to collect the m terms

[tex]-2m=76[/tex]

→ Divide both sides by -10 to isolate m

[tex]m=-38[/tex]

Answer:

6 hours : 1 book

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as a price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Answer: I think its D if not its C im sorry if its wrong!

Step-by-step explanation:

Answer:

[tex]the \: \: answer \: \: of \: \: this \: \: question \: \: is \: \:1 \frac{17}{25} [/tex]

Thank you ☺️☺️

Answer:

Simplest

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

Most complex

Answer:

1)Epithelial stomach cell

2)Stomach lining tissue

3)Stomach

4)Digestive system

I hope this helps

Answer:

In 20 years, the customer earns 1330

Step-by-step explanation:

I =Prt

the formula for simple interest

P= 3000

r = 1.9% (0.019)

t = 20 years

(3500)(0.019)(20)= 1330

Answer:

John had $2088 originally in his savings accounts.

Step-by-step explanation:

Let John had $x originally in his saving account

He spent $198 on a radio. The remaining money = x - $198

4/12 of what was left, he spent on presents for his friends. Remainig money = x - 198 - 4/12*(x-198)

= (1 - 4/12) of (x-198)

= 2/3 of (x-198)

John then put 2/9 if his remaining money into a checking account.

Now, the remaining money = 2/3*(x-198) - 2/9 of (x-198)

= (1 - 2/9) * 2/3*(x-198)

= 7/9 * 2/3*(x-198)

= 14/27(x-198)

Money left with him = $980

14/27(x-198) = $980

x - 198 = $980 * 27 / 14

x - 198 = 1890

x = 1890 + 198

x = 2088

Hence, John had $2088 originally in his savings accounts.

Answer:

58.3333333333

Step-by-step explanation:

Answer:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Step-by-step explanation:

Matter generally exists in either a solid, liquid or gaseous form. With each phase having a certain range of temperature.

Temperature scale of a given substance can be either in Celsius, Fahrenheit or Kelvin. And conversion from one scale to another can be achieved. Example, Celsius scale can be converted to Fahrenheit by:

F = [tex]\frac{9}{5}[/tex] θ + 32

where: F is the equivalent temperature in Fahrenheit, θ is the value of temperature in degree Celsius.

Given that: melting point of the substance = [tex]-36.14^{o}[/tex]C

⇒ F =  [tex]\frac{9}{5}[/tex] x [tex]-36.14^{o}[/tex] + 32

      = [tex]-33.052^{o}[/tex]F

The boiling point = [tex]324.84^{o}[/tex]C

F =  [tex]\frac{9}{5}[/tex] x  [tex]324.84^{o}[/tex] + 32

  = [tex]616.712^{o}[/tex]F

The melting point of the substance is [tex]-33.052^{o}[/tex]F, and boiling point is [tex]616.712^{o}[/tex]F.

Therefore, the range of temperatures for which the substance is not in a liquid state are:

i. When the temperature is above [tex]616.712^{o}[/tex]F, it changes to gas.

ii. When the temperature is below [tex]-33.052^{o}[/tex]F, it changes to solid.

Answer:

= -22

Step-by-step explanation:

In a simple way to say it, all you have to do is add.

Remember that two negatives being added together will remain a negative.

Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.

Or simply add the 11 and then add the negative sign next to it.

-(11+11)= -22

Hope this helps! :)

Answer:

Sorry, I don't understand what m and a||b means. If you are able to explain it to me, I can follow up for this question. much appreciated, Accqty.

Step-by-step explanation:

Answer:

6^9 over 6^9 is 1

Answer:

29.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

[remember: any number raised to the power of 0 is 1]

∴ 12^0 = 1

hope it helps you!!

Answer:

25612

Step-by-Step Explanation:

Simple multiplication

Answer:

4:141

Step-by-step explanation:

first, wright out a ratio with what's given

20(teachers):705(students)

next, simplify the ratio by dividing both sides by the gcf

20: 705

20/5 : 705/5

4 : 141

Answer:

-3

Step-by-step explanation:

Answer: should end up on (-4 , -2)

Step-by-step explanation:

Answer:

(-4, 1)

Step-by-step explanation:

Answer:

(-4,1)

Step-by-step explanation:

I took the quiz and got it right

Answer:

I don’t know what you’re trying to find but that equation does not contain the point.

Step-by-step explanation:

Answer:

0.6 hours

Step-by-step explanation:

50t=300(t-3)

50t= 300t - 900

-250t=-900

t=3.6

dont forget to subtract supermans time as well

3.6-3= 0.6

Answer:

0.6 hours

Step-by-step explanation: