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mihalych1998 [28]
3 years ago
15

At Escobar Middle School, 5% of sixth-grade students, which is 20 students, are enrolled in both art and choir. How many sixth-g

rade students are there in total
Mathematics
1 answer:
Alex3 years ago
4 0
Answer:

If 20 is 5% multiplying it by 20 would give us 100%, so 20*20=400. There are 400 sixth-grade students in total.
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Solve the following equation. Remember to check for extraneous solutions 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
xxMikexx [17]

Answer:

-1, 2, 6

Step-by-step explanation:

We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).

Now, we have, \frac{1}{x-6} +\frac{x}{x-2} = \frac{4}{x^{2}-8x+12 }

⇒\frac{(x-2)+x(x-6)}{(x-2)(x-6)} = \frac{4}{x^{2}-8x+12 }

⇒\frac{x-2+x^{2}-6x }{(x-2)(x-6)} =\frac{4}{(x-2)(x-6)}

⇒\frac{(x-2)(x-6)}{x^{2}-5x-2 }=\frac{(x-2)(x-6)}{4}

⇒(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

⇒ (x-2)(x-6) =0 or, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0

If, (x-2)(x-6) =0, then x=2 or x=6

If, [\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0, then x^{2} -5x-2=4

and (x-6)(x+1) =0

Therefore, x=6 or -1

So the solutions for x are -1, 2 6. (Answer)

4 0
4 years ago
Suppose you are adding 43 and 28 will you regroup?
ch4aika [34]
Yes 8+3= 11 You regroup the one 4+2=6+1=7 Hope this helps!
3 0
3 years ago
What is 15/100 in simplest form
lara [203]
To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.
5 0
3 years ago
Read 2 more answers
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alexandr1967 [171]

Answer:

\frac{3}{5}

Step-by-step explanation:

Given

(5x - 3y)² = 0, then

5x - 3y = 0 ( add 3y to both sides )

5x = 3y (divide both sides by 5 )

x = \frac{3}{5} y ( divide both sides by y )

\frac{x}{y} = \frac{3}{5}

5 0
3 years ago
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What is the answer to the following algebra question: 2x + 7(4x + 3) =
svlad2 [7]
1) Distribute
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2) Combine like terms
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Since there are no more like terms, 30x and 21 cannot be combined. Therefore, the answer is 30x+ 21
6 0
3 years ago
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