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belka [17]
3 years ago
11

-(x -7) + 5/3 = 2(x + 9)

Mathematics
1 answer:
Ghella [55]3 years ago
8 0

One solution was found :

x = -28/9 = -3.111

Rearrange:

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

-(x-7)+5/3-(2*(x+9))=0

Step by step solution :

Step 1 :

Equation at the end of step 1 :

5

((7 - x) + —) - 2 • (x + 9) = 0

3

Step 2 :

5

Simplify —

3

Equation at the end of step 2 :

5

((7 - x) + —) - 2 • (x + 9) = 0

3

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Adding a fraction to a whole

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

7 - x (7 - x) • 3

7 - x = ————— = ———————————

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 :

3.2 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:

(7-x) • 3 + 5 26 - 3x

————————————— = ———————

3 3

Equation at the end of step 3 :

(26 - 3x)

————————— - 2 • (x + 9) = 0

3

Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

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

2 • (x + 9) 2 • (x + 9) • 3

2 • (x + 9) = ——————————— = ———————————————

1 3

Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

(26-3x) - (2 • (x+9) • 3) -9x - 28

————————————————————————— = ————————

3 3

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

-9x - 28 = -1 • (9x + 28)

Equation at the end of step 5 :

-9x - 28

———————— = 0

3

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Three red rods are 2cm longer than two blue rods. Three blue rods are 2cm longer than four red rods. How long is each rod?
nydimaria [60]

Answer:

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

Step-by-step explanation:

Let

x ----> the length of each red rod in centimeters

y ----> the length of each blue rod in centimeters

we know that

3x=2y+2 ----> equation A

3y=4x+2 ----> equation B

Solve the system by graphing

Remember that the solution of the system of equations is the intersection point both graphs

using a graphing tool

The solution is the point (10,14)

see the attached figure

therefore

The length of each red rod is 10 cm and the length of each blue rod is 14 cm

4 0
3 years ago
a survey conducted in a school showed that 65% of the students walked to school. The remaining students took buses to school. Th
Feliz [49]
I fear that there is an error copying your assignment.  
65% of the students walked.  Are all of the other students on buses?  Are there both public buses AND private buses?
Assuming that you need to know BOTH kinds of buses, try this:

65% of the students walked, so since 100% - 65% = 35% then this means that 35% of the students were on buses.
Since we know that there are 360 more walkers than bus riders, then one equation we know is:  65% of S = 360 + 35% of S  (let S = total # of students)
              .65 S     = 360 + .35 S
           <u> - .35 S   </u>  =     <u>   - .35 S</u>      Subtract .35 S from both sides
             <u> .30  S   </u> = <u> 360</u>                 Divide both sides by .30 (or .3)
                .30           .30
                      S   =  1,200  so we know that this is the total number of students, but that is not what was asked.  
They want to know how many are on buses and specifically how many are on public buses, if I read this correctly.
   Since the walkers = 65% of 1,2000 and we know of means TIMES, then
                                  .65 (1,200) =  780 walkers
 1,200 total students minus 780 walkers = 420 bus riders

Now, if there is not a misprint and we really have to figure out the public bus riders as compared to the private bus riders, then remember the ratio from above in the question:   4 bus: 3 public buses
Now if I read this right, that means that 3/4ths of the bus riders were on public buses
so 3/4 of 420 means 3/4 times 420  = 3 times 105 = 315 public bus riders (which coincidentally leaves 105 private bus riders, but since they are private we don't know much about them.  Ha-Ha..... I made a lame joke.)

So your answer is 315 public bus riders



5 0
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Answer:

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Step-by-step explanation:

125%= 1.25

1.25 times 24= 30

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I am Lyosha [343]

The simplified version of the expression is this: 5(x² + 9) ÷ x.

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svetoff [14.1K]

Answer:

A

Step-by-step explanation:

You are right

7 0
2 years ago
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