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2 years ago

There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen

Mathematics

1 answer:

riadik2000 [5.3K]2 years ago

3 0

Answer:

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

$C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45$

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The regular price of a sweater is $ 42.99. It is on sale for 29% off. Find the sale price?

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3 years ago

P1. if your school makes $0.72 profit on every 6 raffle tickets sold, how much will it make when it sells the 11th ticket

Ahat [919]

Answer:

Part 1 = $1.32

Step-by-step explanation:

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2 years ago

Solve each system by substitution. -5x + 3y = 3 and -4x + y = 1

taurus [48]

$\left\{\begin{array}{ccc}-5x+3y=3\\-4x+y=1&|\text{add 4x to both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}-5x+3y=3\\y=4x+1&(*)\end{array}\right\\\\\text{Substitute }\ (*)\ \text{to the first equation}\\\\-5x+3(4x+1)=3\qquad\text{use distributive property}\\\\-5x+(3)(4x)+(3)(1)=3\\\\-5x+12x+3=3\qquad\text{subtract 3 from both sides}\\\\7x=0\qquad\text{divide both sides by (-5)}\\\\\boxed{x=0}\\\\\text{Substitute the value of x to}\ (*):\\\\y=4(0)+1\\y=0+1\\\boxed{y=1}\\\\Answer:\ x=0\ and\ y=1.$

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3 years ago

What is the equation of the line that passes through the point (–2,7) and has a slope of zero?

scZoUnD [109]

Answer:

y = 7

Step-by-step explanation:

Given:

x1 = -2

y1 = 7

slope (m) = 0

y - y1 = m ( x - x1 )

y - 7 = 0 ( x - (-2) )

y - 7 = 0 ( x + 2 )

y - 7 = 0

y = 7

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2 years ago

Will mark u brainliest <br> 15 points!!!!<br> Class 9 math

KonstantinChe [14]

Answer:

$\frac{3375}{512}$ or ≈6.59

Step-by-step explanation:

We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.

Take $25\frac{3}{2}$ for example. The '2' in the fraction means we must take the square of 25. √25 = 5.

The '3' in the fraction means we take the power, which means we must cube '5'.

5³ = 125. Therefore, $25\frac{3}{2}$ = 125. Use this process for the other numbers:

$25^{\frac{3}{2} } = 125\\243^{\frac{3}{5} } = 27\\16^{\frac{5}{4} } = 32\\ 8^{\frac{4}{3} } = 16$

The new fraction would look like:

$\frac{125 * 27}{32 * 16}$

Which simplifies to:

$\frac{3375}{512}$ or ≈6.59

8 0

3 years ago

Read 2 more answers