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3 years ago

Why would paying an additional $100 every month, on top of the regular payment, towards one's car be beneficial?

Mathematics

1 answer:

OLga [1]3 years ago

3 0

No picture of the question? Well if your asking me than it will be 554 and then plus 100 equals 654

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A dance class consists of 22 students, of which 10 are women and 12 are men. if 5 men and 5 women are to be chosen and then pair

OverLord2011 [107]

solution:

I choose 5 women from a pool of 10 in 10C2 ways.

I choose 5 men from a pool of 12 in 12C2 ways.

So total number of ways of choosing in 10C2 x 12C2. Now I need to arrange them in 5 pairs. This is where I have a different solution. The solution says that there are 5! ways to arrange them in pairs.

But I cant seem to understand why? My reasoning is that for first pair position I need to choose 1 man from 5 and 1 woman from 5. So for the first position I have 5 x 5 choices (5 for man and 5 for woman). Similarly for the second position I have 4 x 4 choices and so on. Hence the total ways are 5! x 5!

So I calculate the total ways as 10C2 * 12C2 * 5! * 5!. Can anyone point the flaw in my reasoning for arranging the chosen men and women in pairs.

3 0

3 years ago

At 7 p.m,the temperature was 10 °

Mandarinka [93]

It went from 10 to -2, so you need to find the difference. The way you'd do this is: 10 - (-2). Do you know how to subtract a negative number from a positive number?

3 0

3 years ago

The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long

Solnce55 [7]

Answer:

$5\frac{22}{25}\ hours$

Step-by-step explanation:

we know that

$4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours$

$100\%+40\%=140\%=\frac{140}{100}$

Let

x ------> new battery life

The equation that represent this situation is

$x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours$

convert to mixed number

$\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours$

4 0

3 years ago

A quadratic equation ax^2+bx+c=0 has -11 and 4 as solutions. Find the values of b and c if the value of a is 1 (hint, use zero f

Alina [70]

Answer:

b = 7, c = -44

Step-by-step explanation:

If the quadratic equation has the solutions -11 and 4, the two factors are:

$(x+11)(x-4)=0$

Since when we use the zero factor property we get

x+11=0 ⇒ x= -11

x-4=0 ⇒ x=4

Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.

Now we develop the multiplications between parenthesis:

$(x+11)(x-4)=0\\x^2-4x+11x-44=0\\x^2+7x-44=0$

So b is the number that accompanies the x: b = 7

and c is the independent number: c = -44

3 0

3 years ago

One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in

Alik [6]

Ok

in a 30-60-90 right triangle, if the leg oposite the 30 degree angle is x then the hypontuse is 2x

if the leg oposite the 30 degree angle is 12 inches then the hypontuse is 12*2 or 24 inches

4 0

3 years ago