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sammy [17]
2 years ago
6

What is the product of (y + 3) and (7y – 1)?

Mathematics
1 answer:
Lorico [155]2 years ago
4 0

Answer: =7y^2+20y−3

Step-by-step explanation:

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A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can?
Tresset [83]

height = 15 cm

the volume (V) of a cylindrical can is

V = πr²h ( r is the radius and h the height )

here d = 8 cm ⇒ r = 4 cm

π × 4² × h = 753.6

16πh = 753.6 ( divide both sides by 16π )

h = 753.6 / 16π = 14.99 ≈ 15 cm


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3 years ago
A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

  -0.15y = -2.5

      y = 16.66666667

        y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

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It is a non-recurring continuous decimal number

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