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3 years ago

There is a ratio of 5 girls to 3 boys in the chorus. There are 24 boys in the chorus. How. many girls are in the chorus?

Mathematics

1 answer:

leva [86]3 years ago

6 0

Answer: 40

Step-by-step explanation:

5/3 24/?

divided by 8 =24 divided by 8 =3

5 x 8 =40

Hope this helps :)

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A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?

pychu [463]

Answer:

Step-by-step explanation:

The formula of a volume of a cylinder:

$V_1=\pi r^2H$

r - radius

H - height

The formula of a volume of a cone:

$V_2=\dfrac{1}{3}\pi r^2H$

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

$V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}$

Therefore:

$V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3$

5 0

2 years ago

I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would

Elodia [21]

Answer:

3 km

Step-by-step explanation:

Lets say that you flipped the smaller triangle to be facing the same way as the bigger triangle. To find the X side, we need to do 4.5/1.2 = 1.75. which is the difference between the sides. So then we do 1.75 x 0.8 = 3.

Sorry if I couldn't explain well enough, which is not something I'm good at. I hope you get the question right! Glad I could help! :)

3 0

2 years ago

What is an rational number and irrational number between 7.7 and 7.9

avanturin [10]

Rational number is 7.8 irrational numbers is 7.7 and 7.9

4 0

3 years ago

Which is closest to the quotient 2,967 ÷ 0.003?

rodikova [14]

Answer:

989000

Step-by-step explanation:

Divide 2,967 ÷ 0.003

7 0

3 years ago

Find the minimum value of the function f(x)=x^2+5x-6

mash [69]

<h3><u>Explanation</u></h3>

Method 1 (Formula)

$\begin{cases}h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{2a} \end{cases}$

The vertex of Parabola is the maximum/minimum point depending on the value of a.

Find Vertex

<u>h-value</u>

$h = - \frac{5}{2(1)} \\ h = - \frac{5}{2}$

<u>k-value</u>

$k = \frac{4(1)( - 6) - {(5)}^{2} }{4(1)} \\ k = \frac{ - 24 - 25}{4} \\ k = \frac{ - 49}{4} \\ k = - \frac{49}{4}$

The minimum value is the value of k. Therefore the minimum value is - 49/4 at x = -5/2.

Method 2 (Derivative)

This is Calculus method. We simply differentiate the function then substitute y' = 0.

Differentiate Function

$f'(x) = 2 {x}^{2 - 1} + {5x}^{1 - 1} - 0 \\ f'(x) = 2x + 5$

Substitute f'(x) = 0

$0 = 2x + 5 \\ - 5 = 2x \\ - \frac{5}{2} = x$

Substitute x = -5/2 in the original equation.

$f(x) = {( - \frac{5}{2} )}^{2} + 5( - \frac{5}{2} ) - 6 \\ f(x) = \frac{25}{4} - \frac{25}{2} - 6 \\ f(x) = \frac{25}{4} - \frac{50}{4} - \frac{24}{4} \\ f(x) = \frac{25}{4} - \frac{74}{4} \\ f(x) = - \frac{49}{4}$

<h3><u>Answer</u><u /></h3>

<u> $\sf{the \: \: minimum \: \: value \: \: is \: \: - \frac{49}{4} \: \: at \: \: x = - \frac{5}{2} }$ </u>

4 0

3 years ago