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3 years ago

Solve for x 3.5x=24.5

Mathematics

1 answer:

DedPeter [7]3 years ago

7 0

Answer:

8.166666666666666666666666666666666666666666

Step-by-step explanation:

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

3 years ago

Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0

SCORPION-xisa [38]

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = $\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}$

slope of red line = $\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}$

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

8 0

3 years ago

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For #7 Find the measure of each numbered angle in the rectangle?

jok3333 [9.3K]

Answer:

A rectangle is a geometric figure in which all four angles are 90 degrees. So if you have a missing side and it is a true rectangle, then you know the missing angle is 90 degrees. However, you could be working with a rectangle that is slanted. This is known as a parallelogram. To find the missing angle in such a case, you need to know that all the angles will add up to 360 degrees.

Write out the three known sides. For example, assume you have angles of 120, 120 and 60.

Write out an algebraic expression. Because you know the sum of all four sides must equal 360 degrees, your expression in the example will be 120 + 120 + 60 + X = 360.

Solve for X. Add together all of the angles. Subtract the amount from 360. In the example, 60 degrees is the missing angle.

Step-by-step explanation:

7 0

3 years ago

Sasha wants to know her average grade on her math tests. She earned a score of 70 on two tests, an 80 on one test, and a 90 on t

emmasim [6.3K]

Answer:

Step-by-step explanation:

add up all of the scores then divide by the number of things you added up

6 0

3 years ago

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What is the product of the binomials

Murrr4er [49]

Answer:

12x^2+ 4y^2-26xy

Step-by-step explanation:

2x times 6x= 12x^2

2x times -y=-2xy

-4y times 6x= -24xy

-4y times -y= 4y^2

12x^2- 2xy- 24xy +4y^2

12x^2+ 4y^2-26xy

I hope this is right, sorry if its not

5 0

3 years ago

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