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mash [69]
3 years ago
14

mr. Bailey is the principal of the school with 465 students and 44 teachers. The librarian told Mr Bailey that there were 16 tim

es as many books in the library as their students in the school. How many books are in the library?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0

(465  \div 44) + (16 \times ur  \: answer
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Three balls are packaged in a cylindrical container as shown below. The balls just touch the top, bottom, and sides of the cylin
lianna [129]
We know the following:
Cylinder volume: V₁ = π r² h
Ball (sphere) volume:V₂ = \frac{4}{3} π r³
where:
V - volume
r - radius of base of cylinder and diameter of ball
h - height of cylinder.

R = 13 cm ⇒ r = 13 ÷ 2 = 6.5
π = 3.14

a) Since balls touch all sides of cylinder (as shown in image), it can be concluded that height of cylinder is equal to sum of diameters of 3 balls and that radius of base of cylinder is equal to radius of ball:
h = 3 × r = 3 × 13 cm = 39 cm
r = 6.5 cm
So,
V₁ = <span>π r² h
</span><span>V₁ = </span>3.14 × (6.5 cm)² × 39 cm
V₁ = 5,173.9 cm³

b. The total volume of three balls is the sum of volumes of each ball:
Vₐ = 3 × <span>V₂ 
</span>Vₐ = 3 × <span>\frac{4}{3} π r³
</span>Vₐ = 3 × \frac{4}{3} 3.14<span> (6.5 cm)³</span>
Vₐ = 3,449.3 cm³

c. Percentage of the volume of the container occupied by three balls ould be expressed as ratio of volume of three balls and volume of cylinder:
V = \frac{ V_{1}}{ V_{a} } ×100 
V = \frac{3,449.3}{5,173.9} ×100
V = 0.6666 ×100
V = 66.66%
4 0
3 years ago
Read 2 more answers
I NEED IT ASAP AS WELL THANKS!
Musya8 [376]

Answer:

B, The initial number of bacteria increases at a rate of 24% each day.

Step-by-step explanation:

I think the answer is B because it is the one that closely matches the problem. 312 is multiplied by 1.24 with an exponent. Just eyeballing it, it's multiplied by itself and then an increase of 24%. Also, none of the other statements seem to be correct, D not even making sense in the scope of the problem. Hope this helps, good luck.

5 0
2 years ago
Read 2 more answers
What is the directrix of the parabola defined by `(1)/(4)(y + 3) = (x − 2)^2`?
Sauron [17]

The directrix of the parabola is y =  \frac {-49}{16}

<h3>How to determine the equation of the directrix?</h3>

The parabola equation is given as:

\frac 14(y + 3) = (x -2)^2

A parabola is represented as:

4p(y - k) =(x -h)^2

By comparing both equations, we have:

4p = 1/4 ==> p = 1/16

-k= 3 ==> k = -3

The directrix is represented as:

y = k - p

So, we have:

y = -3 - \frac 1{16}

Take the LCM

y =  \frac {-16 * 3- 1}{16}

Evaluate

y =  \frac {-49}{16}

Hence, the directrix of the parabola is y =  \frac {-49}{16}

Read more about parabola at:

brainly.com/question/1480401

#SPJ1

4 0
1 year ago
How do you solve 5-4x&lt;95
mario62 [17]

5 - 4x < 95 \\  - 4x  < 95 - 5 \\  - 4x = 90 \\ x =  -  \frac{90}{4}  \\  \boxed{ x =  -  \frac{45}{2} }

8 0
3 years ago
4. A restaurant charges $9.95 for a large pizza with two toppings, and $1.25 for
bearhunter [10]

Answer:

3 toppings is the answer

Step-by-step explanation:

3 0
3 years ago
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