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IrinaVladis [17]
3 years ago
11

3.7(-83x - 3) = 3.7(7x - 30)

Mathematics
2 answers:
ale4655 [162]3 years ago
8 0

Answer:   x = 3/10 = 0.300

Step-by-step explanation:

Step  1  :

           37

Simplify   ——

           10

Equation at the end of step  1  :

  37                   37

 (—— • (-83x - 3)) -  (—— • (7x - 30))  = 0  

  10                   10

Step  3  :

           37

Simplify   ——

           10

Equation at the end of step  3  :

  37                  37 • (7x - 30)

 (—— • (-83x - 3)) -  ——————————————  = 0  

  10                        10      

Pulling out like terms :

5.1     Pull out like factors :

  -83x - 3  =   -1 • (83x + 3)

-37 • (83x + 3)    37 • (7x - 30)

 ——————————————— -  ——————————————  = 0  

       10                 10      

Adding fractions which have a common denominator :

6.1       Adding fractions which have a common denominator

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

-37 • (83x+3) - (37 • (7x-30))     999 - 3330x

——————————————————————————————  =  ———————————

              10                       10    

Pulling out like terms :

7.1     Pull out like factors :

  999 - 3330x  =   -333 • (10x - 3)  

When a fraction equals zero :

8.1    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:

 -333•(10x-3)

 ———————————— • 10 = 0 • 10

      10      

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  -333  •  (10x-3)  = 0

Equations which are never true :

8.2      Solve :    -333   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

8.3      Solve  :    10x-3 = 0  

Add  3  to both sides of the equation :  

                     10x = 3

Divide both sides of the equation by 10:

                    x = 3/10 = 0.300

  x = 3/10 = 0.300

tankabanditka [31]3 years ago
8 0

Answer:

x = 0.3

Step-by-step explanation:

-307.1x-11.1=25.9-111

-307.9x=25.9x-99.9

333x=99.9

x = 99.9/333

x = 0.3

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3 years ago
Calculate the trade discount for 3030 boxes of computer paper if the unit price is ​$14.9314.93 and a single trade discount rate
zhannawk [14.2K]

Answer:

Total trade discount on 30 boxes = $201.555

Step-by-step explanation:

1 box = $14.93

And a trade discount of 45% is allowed on a single box,

Therefore, the discount on one $14.93 box will be

45% × $14.93 = $6.7185

So, if there are now 30 boxes, the trade discount on all 30 boxes will be

30 × (trade discount on one box) = 30 × ($6.7185) = $201.555

Hope this helps!

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To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the
Irina18 [472]

Answer:

a) 16.66%

b) 5%

Step-by-step explanation:

a)

Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.

In this case the probability that you traveled to school that day by car would be

50%  of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%

b)

In this case, the teacher would assume

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So, in this case the probability would be

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3 years ago
The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1<br> miles.
beks73 [17]

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

8 0
2 years ago
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