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3 years ago

In the Olympics, how many possible ways can 12 biathletes be awarded the gold, silver and bronze medals?

1 answer:

3 0

Well if you look closley

you have: gold sivler bronze metals (thats 3 medals) divide that by 12 and you get 4 so each could get four medals each

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What do parallel sides look like

kupik [55]

2 straight lines that never cross each other

5 0

3 years ago

Read 2 more answers

If varies directly with y and x = 6 m when y = 15, find x when y = 20

GuDViN [60]

If x varies directly with y, then :

● Increase in x results in increase of y

● Decrease in x results in decrease of y

● It is represented by : x ∝ y

$\mathsf{\bigstar\;\;If\;x\;varies\;directly\;with\;y\;then : \large\boxed{\mathsf{\dfrac{x_1}{x_2} = \dfrac{y_1}{y_2}}}}$

Here : x₁ = 6 and y₁ = 15 and x₂ = x₂ and y₂ = 20

Substituting the values we get :

$\mathsf{\implies \dfrac{6}{x_2} = \dfrac{15}{20}}$

$\mathsf{\implies x_2 = \dfrac{20 \times 6}{15}}$

$\mathsf{\implies x_2 = 8}$

<u>Answer</u> : x = 8 when y = 20

8 0

3 years ago

Read 2 more answers

Find the sum of the geometric series 9000-900 +...+ 0.009

bagirrra123 [75]

Based on the calculations, the sum of this geometric series is equal to 9,990.

<h3>The standard form of a geometric series.</h3>

Mathematically, the standard form of a geometric series can be represented by the following expression:

$\sum^{n-1}_{k=0}a_1(r)^k$

Where:

a₁ is the first term of a geometric series.

r is the common ratio.

<h3>How to calculate the sum of a geometric series?</h3>

Also, the sum of a geometric series is given by this mathematical expression:

$S=\frac{a_1(1-r^n)}{1-r}$

<u>Given the following data:</u>

First term, a = 9000.

Common ratio, r = 900/9000 = 0.1

Substituting the given parameters into the formula, we have;

$S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}$

S = 9000(0.999)/0.9

S = 8,991/0.9

S = 9,990.

Read more on geometric series here: brainly.com/question/12630565

#SPJ1

5 0

2 years ago

What value of x makes the following equation true?<br> 15+3x=3(2−2x)

Alinara [238K]

Answer:

$\boxed {x = -1}$

Step-by-step explanation:

Solve for the value of $x$ :

$15 + 3x = 3(2 - 2x)$

-Use <u>Distributive Property</u>:

$15 + 3x = 3(2 - 2x)$

$15 + 3x = 6 - 6x$

-Take $6x$ and add it to $3x$ :

$15 + 3x + 6x = 6 + 6x - 6x$

$15 + 9x = 6$

-Subtract both sides by $15$ :

$15 - 15 + 9x = 6 - 15$

$9x = -9$

-Divide both sides by $9$ :

$\frac{9x}{9} = \frac{-9}{9}$

$\boxed {x = -1}$

Therefore, the value of $x$ is $-1$ .

5 0

3 years ago

Caroline baked bread each day for 5 days for a bake sale. She baked 3 types of bread each day and used 2 cups of flour for each

iris [78.8K]

Answer:

30 cups of flour

Step-by-step explanation:

Number of days for which Caroline baked bread = 5

Types of bread baked each day = 3

Number of cups of flour used for each recipe of bread = 2

=> Number of cups of flour used for 3 types of bread each day = 3 * (number of cups used / recipe) = 3 * 2 = 6 cups

=> Number of cups of flour used for 5 days = 5 * (number of cups of flours used per day) = 5*6 = 30

So Caroline used 30 cups of flour over 5 days.

6 0

4 years ago