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Vika [28.1K]
2 years ago
8

What is the quotient of the following division problem?

Mathematics
1 answer:
Andrews [41]2 years ago
6 0

Answer:

x + 2

Step-by-step explanation:

The quotient is always on the top of the division problem.

Hope it helps and have a great day! =D

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Two solutions of salt water contain 0.06% and 0.26% salt respectively. A lab technician wants to make 1 liter of solution which
Valentin [98]

Answer:

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

Step-by-step explanation:

In the solution the techinician wants to create there's a total of:

salt = 1*0.11/100 = 0.0011

So the sum of the salt from the other two solutions must be equal to that, since the quantity of salt in each is given by:

salt1 = volume1*0.06/100 = volume1*0.0006

salt2 = volume2*0.26/100 = volume2*0.0026

The sum of the from the two solutions must be equal to the final one:

salt = salt1 + salt2

0.0011 = 0.0006*volume1 + 0.0026*volume2

while the volume of the solutions must be equal to 1 liter:

volume1 + volume2 = 1

If we isolate volume1 on the second equation and replace that on the first one we have:

volume1 = 1 - volume2

0.0006*(1 - volume2) + 0.0026*volume2 = 0.0011

0.0006 - 0.0006*volume2 + 0.0026*volume2 = 0.0011

0.002*volume2 = 0.0011-0.0006

0.002*volume2 = 0.0005

volume2 = 0.0005/0.002 = 0.25 liters = 250 ml

volume1 = 1 - 0.25 = 0.75 liters = 750 ml

The volume for the 0.26% is 250 ml and the volume for the 0.06% is 750 ml.

3 0
3 years ago
In the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is
jenyasd209 [6]

Answer:

\frac{8}{20}

Step-by-step explanation:

We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.

To make Amanda's argument true, let us compare each fraction by making a common denominator.

We can see that least common denominator of each fraction would be 20.

\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}

\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}

\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}

Since \frac{8}{20} , therefore, Amanda's scarf has the most yellow.

8 0
3 years ago
Dallas was told to run around the perimeter of the high
Zina [86]

Answer:

Option (4)

Step-by-step explanation:

Perimeter of a polygon is the sum of measures of all sides of the polygon.

From the picture attached,

Distance run by Dallas = Perimeter of the ground

                                      = 48 + 50 + 9 + 30 + 30 + 30 + 9 + 50

                                      = 256 yards

Total warm up run by Dallas = 256 yards

Therefore, Option (4) will be the correct option.  

7 0
3 years ago
Read 2 more answers
Find x step by step (10 points)
AleksandrR [38]

Answer:

\sqrt{(n-m)(n+m)} & -\sqrt{(n-m)(n+m)}

Step-by-step explanation:

1) Subtract m^{2} from both sides. This should leave you with x^{2}=n^{2}-m^{2}.

2) Square root both sides. This should leave you with x=\sqrt{n^2-m^2} & x=-\sqrt{n^2-m^2}.

<em>You can stop here if this is what the problem is asking for. However, it is not fully simplified.</em>

<em />

3) Factor the equation. This should leave you with \sqrt{(n-m)(n+m)} & -\sqrt{(n-m)(n+m)}.

4 0
3 years ago
Read 2 more answers
Which of the following numbers is closest to 4?<br> O A. V13<br> O B. V18<br> C. 15<br> D. 719
OverLord2011 [107]

Answer:

\huge\boxed{B.\ \sqrt{18}}

Step-by-step explanation:

4=\sqrt{4^2}=\sqrt{16}

3 0
3 years ago
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