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MatroZZZ [7]
4 years ago
11

Jack has some marbles. He has ten more red marbles than blue marbles. He has fewer yellow marbles than blue marbles.

Mathematics
1 answer:
kap26 [50]4 years ago
5 0

Answer:

<u>Jack has at least 15 marbles: 12 red, 2 blue and 1 yellow.</u>

Step-by-step explanation:

1. Let's review the information given to us to solve the problem correctly:

Number of red marbles = 10 more than blue marbles

Number of yellow marbles fewer than blue marbles

2. How many of each color marble could Jack have?

r = Number of red marbles

b = Number of blue marbles

y = Number of yellow marbles

r = b + 10

y < b

If y = 1, then b ≥ 2, and r = b + 10,

fulfilling the three conditions, we have:

<u>y = 1, b = 2, and r = 12</u>

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Surface area and volume of cone
faust18 [17]

The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

<h3>What is volume?</h3>

Volume is the capacity of an object.

To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.

Formula:

  • S = πr√(r²+h²)............. Equation 1
  • V = πr²h.................. Equation 2

Where:

  • S = Surface area of the cone
  • V = Volume of the cone
  • r = Radius of the base of thye cone
  • h = Vertical height of the cone.

From the diagram,

Given:

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  • h = 24 km
  • π = 3.14

Substitute these values into equation 1 and equation 2 respectively.

  • S = 3.14×10[√(24²+10²)
  • S = 31.4(√676)
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Also for the volume of tyhe cone

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Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.

Learn more about volume here: brainly.com/question/1972490

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8 0
2 years ago
If a and b are roots of 3x2-6+2=0then find a+b​
Gennadij [26K]

Answer:

a + b =  2

Step-by-step explanation:

Given

ax² + bx + c = 0 ( equation in standard form )

Then the sum of the roots = - \frac{b}{a}

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6 0
4 years ago
Read 2 more answers
What is the equation for -5x+6y=12 y=5/6x+2
egoroff_w [7]
<h2>(x, y) = (x, 2 + 5/6 x)</h2>

Step-by-step explanation:

-5x + 6y = 12

y = 5/6x + 2

<h2>_______________</h2>

-5x + 6y = 12

-5x + 6(5/6x + 2) = 12

-5x + 5x + 12 = 12

x real numbers

(x, y) = (x, 2 + 5/6 x)

5 0
3 years ago
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