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Oduvanchick [21]
3 years ago
6

HELP

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0

Equations

Let the number of liters of 80% acid = x

Let the number of liters of 40% acid = y

x + y = 2

80%x + 40%y = 65% * 2

Step One

multiply the 2nd given by 100

(80/100)x + (40/100)y = (65/100)*2

80x + 40y = 2*65 = 130                 (3)

Step Two

Multiply the first given equation by 80

80x + 80y = 160                             (4)

Step Three

Subtract (4) - (3)

80x + 80y = 160

<u>80x + 40y = 130</u>

40y = 30               Divide by 40

y = 30/40

y = 3/4 = 0.75

What you have found is that out of 2 liters, 0.75 L must be the 40% acid.

Step Four

Find the 80% volume

x + y = 2

y = 0.75 L

x + 0.75 = 2

x = 2 - 0.75

x = 1.25 L

Answers

80% Volume = 1.25 L

40% Volume = 0.75 L



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To start solving this, we can assign t as the variable to the total number of tickets that were sold. So, t = 35 (for Monday) + (t - 35)/2 (for Tuesday) + 14 (for Wednesday). To solve this, we can say t = 49 + (t - 35)/2, or 2t = 98 + t - 35, which equals t = 63. Therefore, 63 tickets were sold total.

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In order to multiply both polynomials, we will use the distributive property

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= (x^3+3x^2+1)(3x^2+6x-2)\\=x^3(3x^2+6x-2)+3x^2(3x^2+6x-2)+1(3x^2+6x-2)\\=3x^5+6x^4-2x^3+9x^4+18x^3-6x^2+3x^2+6x-2

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The product of given polynomials is: 3x^5+15x^4-16x^3-3x^2+6x-2

Keywords: Polynomials, variables

Learn more about polynomials at:

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At a local Brownsville play production, 560 tickets were sold. The ticket prices varied on the seating arrangements and cost $8,
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Answer:

Number of $8 tickets sold  = 210

Number of $10 tickets sold  = 280

Number of $12 tickets sold  = 70

Step-by-step explanation:

The number of ticket sold is 560  tickets .

Total number of ticket sold = 560 tickets

The prices varies as $8, $10 and $12.

The total income from the ticket sold = $5320

Let

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a + b = 7c

Therefore,

8a + 10b + 12c = 5320

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7c + c = 560

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divide both sides by 8

c = 560/8

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Insert the value of c in the equations below

8a + 10b + 12c = 5320

8a + 10b + 12(70) = 5320

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8a + 10b = 5320 - 840

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a + b + c = 560

a + b + 70 = 560

a + b = 560 - 70

a + b = 490...............(ii)

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a + b = 490...............(ii)

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a + b = 490...............(ii)

a + 280 = 490

a = 490 - 280

a = 210

Number of $8 tickets sold  = 210

Number of $10 tickets sold  = 280

Number of $12 tickets sold  = 70

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3 years ago
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