Associate property of70*6000

Explain why multiplying two irrational numbers could result in either an irrational number or a rational number.

Nimfa-mama [501]

Because if you multiply 2 different irrational numbers (like the following)
$\sqrt{3} \times \sqrt{17}$
You will get an irrational answer.

BUT
if you multiply the same square root (which are both irrational, you get a rational number)

$\sqrt{3} \times \sqrt{3} = 3$

7 0

3 years ago

The Pit BBQ food truck sells two combo packs of ribs and brisket. Combo A contains 10 oz of brisket and 16 oz of ribs and sells

GenaCL600 [577]

The maximum revenue is $700 which is at 16 combo A and 12 combo B.

<h3>Inequality</h3>

An inequality is an expression that shows the non equal comparison of two or more numbers and variables.

Let x represent the number of combo A and y represent the number of combo B, hence:

10x + 20y ≤ 400 (1)

Also:

x + y ≤ 28 (2)

The solution is at (16,12). Hence:

Revenue = 21.25 * 16 + 30 * 12 = $700

The maximum revenue is $700 which is at 16 combo A and 12 combo B.

Find out more on Inequality at: brainly.com/question/24372553

3 0

2 years ago

Solve <img src="https://tex.z-dn.net/?f=%5Csf%20%5Cdfrac%7B1%7D%7Bp%7D%20%2B%20%5Cdfrac%7B1%7D%7Bq%7D%20%2B%20%5Cdfrac%7B1%7D

Nostrana [21]

Answer:

$\displaystyle \begin{cases} \displaystyle {x} _{1} = - p \\ \displaystyle x _{2} = - q \end{cases}$

Step-by-step explanation:

we would like to solve the following equation for x:

$\displaystyle \frac{1}{p} + \frac{1}{q} + \frac{1}{x} = \frac{1}{p + q + x}$

to do so isolate $\frac{1}{x}$ to right hand side and change its sign which yields:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{1}{p + q + x} - \frac{1}{x}$

simplify Substraction:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{x - (q + p + x)}{x(p + q + x)}$

get rid of only x:

$\displaystyle \frac{1}{p} + \frac{1}{q} = \frac{ - (q + p )}{x(p + q + x)}$

simplify addition of the left hand side:

$\displaystyle \frac{q + p}{pq} = \frac{ - (q + p )}{x(p + q + x)}$

divide both sides by q+p Which yields:

$\displaystyle \frac{1}{pq} = \frac{ -1}{x(p + q + x)}$

cross multiplication:

$\displaystyle x(p + q + x) = - pq$

distribute:

$\displaystyle xp + xq + {x}^{2} = - pq$

isolate -pq to the left hand side and change its sign:

$\displaystyle xp + xq + {x}^{2} + pq = 0$

rearrange it to standard form:

$\displaystyle {x}^{2} + xp + xq + pq = 0$

now notice we end up with a quadratic equation therefore to solve so we can consider factoring method to use so

factor out x:

$\displaystyle x( {x}^{} + p ) + xq + pq = 0$

factor out q:

$\displaystyle x( {x}^{} + p ) +q (x + p)= 0$

group:

$\displaystyle ( {x}^{} + p ) (x + q)= 0$

by Zero product property we obtain:

$\displaystyle \begin{cases} \displaystyle {x}^{} + p = 0 \\ \displaystyle x + q= 0 \end{cases}$

cancel out p from the first equation and q from the second equation which yields:

$\displaystyle \begin{cases} \displaystyle {x}^{} = - p \\ \displaystyle x = - q \end{cases}$

and we are done!

3 0

3 years ago

Write the difference 16 -(-53) as a sum then simplify

valina [46]

Answer:

Step-by-step explanation:

(-)(-) = (+)

(+)(+) = (+)

(-)(+) = (+)(-) = (-)

--------------------------------------

16 - (-53) = 16 + 53 = 69

3 0

3 years ago

This jar has 1 red, 74 yellow, and 25 green gumballs. What are the chances of picking a green gumball? the red one?

kari74 [83]

Answer: green = 25/100, red = 1/100

Step-by-step explanation: add ALL of the gumballs, there's your denominator, now you have 0/100 (1+74+25), count the amount of marbles you want to get the probability of, lets say green, there's your numerator (25) = 25/100

5 0

3 years ago