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Effectus [21]
3 years ago
12

-5x-(8-x)=12 how do I solve this problem. show a step by step please in a balance problem

Mathematics
1 answer:
Alex3 years ago
5 0

Answer:

x = -5

Step-by-step explanation:

to evaluate for x in this this question -5x-(8-x)=12

the firsst step, you would open the bracket with - then evaluate for the value of x

solution

-5x-(8-x)=12

-5x -8 + x = 12

combine the like terms

-5x + x = 12 + 8

-4x = 20

divide both sides by the coefficient of x

-4x/-4 = 20/-4

x = -5

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sally has scores of 88, 92, 80, and 96. find the score she must make on the next exam to have an average of 90
melisa1 [442]
The score range that sally would have to make a 90 average is 85-100
3 0
3 years ago
Use long division to divide x^3+x^2-2x+14 by x+3
bekas [8.4K]

First, x^3=x^2\cdot x, and if we multiply x+3 by x^2 we get

x^3+3x^2

Subtracting this from the numerator gives a remainder of

-2x^2-2x+14

Next, -2x^2=-2x\cdot x, and if we multiply x+3 by -2x we have

-2x^2-6x

and subtracting this from the previous remainder, we end up with a new remainder of

4x+14

Next, 4x=4\cdot x, and if we multiply x+3 by 4 we get

4x+12

Subtracting from the previous remainder, we get a new remainder of

2

which contains no more factors of x, so we're done.

So,

\dfrac{x^3+x^2-2x+14}{x+3}=x^2-2x+4+\dfrac2{x+3}

8 0
3 years ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
I'm struggling right now because I learned this but I completely forgot how to do it. I need to find the distance between two po
DochEvi [55]

Answer:

12 units

Step-by-step explanation:

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2 years ago
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8090 [49]

Answer: the ratio 2:5

Step-by-step explanation:

I think thats the answer,

4 0
2 years ago
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