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OLEGan [10]
4 years ago
5

Solve for y2y - (6y + 1) = 19​

Mathematics
1 answer:
Westkost [7]4 years ago
4 0

Answer:

-5

Step-by-step explanation:

2y-(6y+1)=19

Expand parentheses:

2y-6y-1=19

Combine like terms:

-4y-1=19

Add 1 to both sides:

-4y=20

Divide both sides by -4:

y=-5

Hope this helps!

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Why is 42 the sum of all factors of 30, excluding 30? The factors of the number 30 are: 1, 2, 3, 5, 6, 10, 15, 30.

Step-by-step explanation:

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The toll on a bridge is $ 1.00 for cars and $ 2.50 for trucks. In one hour, a toll operator raises a total of $ 105 in tolls. Wr
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1c+2.5L=105

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What do we call the two numbers, when multiplied together, results in the product of 1? (Hint: we use it them in dividing fracti
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3 years ago
A chemist mixes a 10% hydrogen peroxide solution with a 25% hydrogen peroxide solution to create 30 liters of a 15% hydrogen per
iris [78.8K]
Let x represent the amount of 10% solution used.
Let y represent the amount of 25% solution used.

Since 30 liters of 15% solution are being made, our first equation is
x + y = 30

Now we deal with the actual peroxide in each solution.
x liters of 10% peroxide contain 0.1x liters of peroxide.
y liters of 25% peroxide contain 0.25y liters of peroxide.
30 liters of 15% peroxide contain 0.15 * 30 = 4.5 liters of peroxide.
From this information, we can write our second equation.

0.1x + 0.25y = 4.5

We have a system of equations:

x + y = 30
0.1x + 0.25y = 4.5

Multiply the first equation by -0.25 and add to the second equation.

-0.25x - 0.25y = -7.5
   0.1x + 0.25y = 4.5
---------------------------
-0.15x              = -3

x = 20

Answer: 20 liters


5 0
4 years ago
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Find a rational number between -1/3 and 1/2
noname [10]

Answer:

1/6

Step-by-step explanation:

Rational numbers between two rational numbers:

  •      First find the Least Common Denominator for 2 and 3
  • Then find equivalent fractions with the LCD.

LCD of 2 and 3 = 6

\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}

\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \  is \  \bf \dfrac{1}{6}

5 0
2 years ago
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