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2 years ago

Jamaal thinks 19 can be divided by 6. Natalie does not think that 19 can be divided by 6

Mathematics

2 answers:

Paha777 [63]2 years ago

8 0

Answer:

Natalie is correct

Step-by-step explanation:

6 does not go into 19 because there's a remainder of 1.

nordsb [41]2 years ago

8 0

Answer:

19 can be divided by6

Step-by-step explanation:

long division

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Selection C is appropriate.

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B. The population is constant at 24.

C. Matches the problem description.

D. The initial population is 24 and after 1 hour is 72.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 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

Thissss please‍♀️ AND THANK YOUUU

3241004551 [841]

Answer:

5*5*5*5 = 625

3*3*3*3*3*3 = 729

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3 years ago

The amount spent on food and drink by 20 customers is shown below What is the modal amount spent and the median?

Kaylis [27]

Answer:

Mode = 19.

Median = 23.

Step-by-step explanation:

Arrange in ascending order:

8 9 12 15 17 18 19 19 20 22 24 25 26 27 28 31 34 36 40 43

The modal amount is the one which occurs most , which is 19.

The median is the middle value of the 20 amounts.

As there is an even number of amounts the median is the mean of the 2 middle numbers:

Median = (22 + 24) / 2

= 23.

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3 years ago