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3 years ago

James has 16 pounds of coffee that he wants to distribute evenly between 2/3 pound bags. How many bags does he need? *

Mathematics

1 answer:

german3 years ago

5 0

Answer:

24 bags

Step-by-step explanation:

16 is 48/3. 48 divided by 2 is 24.

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Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer t

postnew [5]

9514 1404 393

Answer:

563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

V = (1/3)πr²h

Recognize that the radius is half the diameter:

r = (11.9 cm)/2 = 5.95 cm

V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

<em>Additional comment</em>

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

3 0

3 years ago

Solve the following system. x2 + y 2= 25 2x + y = 10 The solution set

anzhelika [568]

Answer: {(5,0), (3,4)}

Step-by-step explanation:

You can apply the Substitution method:

- Solve for y from the second equation.

- Substitute into the first equation and solve for x.

Then:

$y=10-2x$

$x^2+y^2=25\\x^2+(10-2x)^2=25\\$

(Remember that: $(a\±b)^2=a^2\±2ab+b^2$ )

$x^2+(10^2-2(10)(2x)+(2x)^2)=25\\x^2+100-40x+4x^2=25\\5x^2-40x+75=0\\x^2-8x+15=0\\(x-5)(x-3)=0\\\\x=5\\x=3$

Substitute the values obtained into one of the original equation and solve for y:

$2(5)+y=10\\10+y=10\\y=0\\\\2(3)+y=10\\6+y=10\\y=4$

The solution set is: {(5,0), (3,4)}

8 0

3 years ago

Q = x^3 â xGiven that x is a positive integer such that x â¥ 75, which of the following is the remainder when Q is divided by 6?

geniusboy [140]

Answer:

A) 0

Step-by-step explanation:

Given that

$Q=x^{3}-x\\\\x(x^{2}-1)\\\\x(x+1)(x-1)$

Divisor = 6 = 3*2

$\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{6}\\\\\frac{Q}{D}=\frac{(x)(x+1)(x-1)}{2 \times 3}\\$

As it can be see that x ≥ 75 and Q is product of three consecutive terms (x-1), x, (x+1) which is always completely divisible by 2, 3 and 6. So remainder is zero

4 0

3 years ago

49 080 tickets have been sold for the tournament. 3 /5 of the tickets are for the qualifying matches and 15% of the tickets are

Vadim26 [7]

The answer is 10,270. 3/5 of 49,080 is 29448 and 15% of 49,080 is 7362. 29448+7362 is 36810 and 49080-36810=10270.

7 0

4 years ago

Read 2 more answers

What would rate be equal to?

elena55 [62]

Answer:

Step-by-step explanation:

Average rate equals the negative of delta concentration of reactants

3 0

3 years ago