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valina [46]
3 years ago
6

The scale on a drawing is 1 mm = 3 m. How many meters does 2 centimeters represent?

Mathematics
1 answer:
suter [353]3 years ago
3 0
There are 10 millimeters in 1 centimeter. from that, we can calculate that one centimeter is equivalent to 30 meters. We are trying to find how many meters are in two centimeters so we multiply 30 meters by 2 and get the final answer of 60 meters.

2 Centimeters = 60 Meters

I hope this helped, Don't forget to rate me up it really helps.

Have a Great Day :)
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3/a times x-4=20<br> What is x?
spin [16.1K]

Answer:

Step  1  :

           3

Simplify   —

           a

Equation at the end of step  1  :

   3                

 ((— • x) -  4) -  20  = 0  

   a                

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a whole from a fraction

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

        4     4 • a

   4 =  —  =  —————

        1       a  

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:

3x - (4 • a)     3x - 4a

————————————  =  ———————

     a              a    

Equation at the end of step  2  :

 (3x - 4a)    

 ————————— -  20  = 0  

     a        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

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

         20     20 • a

   20 =  ——  =  ——————

         1        a    

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(3x-4a) - (20 • a)     3x - 24a

——————————————————  =  ————————

        a                 a    

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  3x - 24a  =   -3 • (8a - x)  

Equation at the end of step  4  :

 -3 • (8a - x)

 —————————————  = 0  

       a      

Step  5  :

When a fraction equals zero :

5.1    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•(8a-x)

 ————————— • a = 0 • a

     a    

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

The equation now takes the shape :

  -3  •  (8a-x)  = 0

Equations which are never true :

5.2      Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

5.3     Solve   8a-x  = 0 Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK). "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.In this formula :y tells us how far up the line goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb is the Y-intercept i.e. where the line crosses the Y axisThe X and Y intercepts and the Slope are called the line properties. We shall now graph the line  8a-x  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of a is 0/8 so this line "cuts" the a axis at a= 0.00000

 a-intercept = 0/8  =  0.00000  

Calculate the X-Intercept :

When a = 0 the value of x is 0/-1 Our line therefore "cuts" the x axis at x=-0.00000

 x-intercept = 0/-1  = -0.00000  

Calculate the Slope :

Slope is defined as the change in a divided by the change in x. We note that for x=0, the value of a is -0.000 and for x=2.000, the value of a is 0.250. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 0.250 - -0.000 = 0.250 in a. (The change in a is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.250/2.000 =  0.125  

Geometric figure: Straight Line

 Slope = 0.250/2.000 = 0.125

 x-intercept = 0/-1 = -0.00000

 a-intercept = 0/8 = 0.00000

Step-by-step explanation:

8 0
3 years ago
The expression below is the factorization of what trinomial (5x+6)(3x-2)
Wittaler [7]
Multiply 5x to 3x and -2
multiply 6 to 3x and -2
15x^2-10x+18x-12

15x^2+8x-12
6 0
3 years ago
A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 20 candles today and makes $
Amanda [17]

The system of equations becomes:

s + u = 28 This represent the number of candles sold
16s + 10u = 400 This represents the value of the candles sold
5 0
3 years ago
What is the answer to this math problem
pishuonlain [190]

Answer:

Domain: c)

Range: d)

Step-by-step explanation:

The domain means all of the possible x-values. To find the domain, find the leftmost and rightmost value of x. They are 0 and 8.5.

The range means all of the possible y-values. To find the range, find the lowest and higher values for y. They are 0 and 12.5.

"All numbers" means x or y can be any number, decimal decimal numbers. "Whole numbers" mean x or y can only be numbers that don't have decimals.

Both x and y can be decimal numbers because the graph is not broken up. If it could only be whole numbers, the graph would be dots.

4 0
3 years ago
In 1980, the average cost of a pack of cigarettes was $0.88. In 2000, the average cost was $5.31 per pack.
yan [13]

Answer:

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

Step-by-step explanation:

The average rate of change of the cost of a pack (r), in monetary units per year, is equal to the change in the average cost of a pack (\Delta c), in monetary units, divided by the change in time (\Delta t), in years. Then, the average rate of change is:

r = \frac{\$\,5.31-\$\,0.88}{2000-1980}

r = \$\,0.22\,\frac{1}{yr}

The average rate of change of the cost of a pack is 22 cents per year.

Another name for the average <em>rate of change</em> is <em>slope</em>.

8 0
3 years ago
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