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3 years ago

Determining Ratios in a Mixture

Mathematics

2 answers:

Kruka [31]3 years ago

3 0

Answer:

1:4

Step-by-step explanation:

Let X be the quantity of 30% acid and Y be the quantity of 5% acid.

0.3X + 0.05Y = 0.1(X+Y)

0.3X + 0.05Y = 0.1X + 0.1Y

0.3X - 0.1X = 0.1Y - 0.05Y

0.2X = 0.05Y

X/Y = 0.05/0.2

X/Y = 1/4

X:Y = 1:4

nignag [31]3 years ago

3 0

Answer:

1:4

Step-by-step explanation:

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Pedro le dice a María si cambias los billetes de 10 € que tienes por billetes de 5 € y los billetes de 5 € por billetes de 10 €

Bad White [126]

Answer: Maria has 10 bills of 5€ and 10 bills of 10€.

She has a total of 150€.

Step-by-step explanation:

Let be "f" the number of 5€ bills that Maria has and "t" the number of 10€ bills that Maria has.

Set up a system of equations:

$\left \{ {{f+t=20} \atop {5f+10t=10f+5t}} \right.$

Use the Substitution method to solve the system of equations:

1. Solve for "f" from the first equation:

$f=20-t$

2. Substitute the equation obtained into the second equation and solve for "t".

Then:

$5(20-t)+10t=10(20-t)+5t\\\\100-5t+10t=200-10t+5t\\\\20t-10t=100\\\\t=\frac{100}{10}\\\\t=10$

3. Substitute the value of "t" into the equation $f=20-t$ and evaluate:

$f=20-10\\\\f=10$

Therefore, Maria has 10 bills of 5€ and 10 bills of 10 €.

So the total amount of money she has, is:

$Total=10(5)+10(10)=150$

She has a total of 150€.

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3 years ago

Major arc JL measures 300°. Which describes triangle JLM?

Fed [463]

Answer: equilateral

Step-by-step explanation:

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2 years ago

DO THIS FOR 100 POINTS AND MARKED AS BRAINLIEST

Allushta [10]

Convert to common denominator

3/4 = 12/16

Multiply by 16

(12/16)/(3/16)

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3 years ago

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Nesterboy [21]

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3 years ago

Find the 7th term of the arithmetic sequence 4x + 5, 11x + 9,18x + 13, ...

Svet_ta [14]

Step-by-step explanation:

we see the common difference is

a2-a1 = 11x + 9 - 4x - 5 = 7x + 4

an = an-1 + (7x+4) = a1 + (n-1)×(7x+4)

for a7 we have then

a7 = 4x + 5 + 6×(7x +4) = 4x + 5 + 42x + 24 = 46x + 29

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2 years ago