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4 years ago

Of 1414 possible books, you plan to take 55 with you on vacation. how many different collections of 55 books can you take?

1 answer:

4 0

Divide 1414 by 55 and you get 25.7 but you can't take .7 collections so the correct answer is 25 collections of 55 books

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Convert 4 years to months

nikitadnepr [17]

Answer:

48 months

Step-by-step explanation:

12 times 4 48

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3 years ago

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Which second degree polynomial function has a leading coefficient of –1 and root 4 with multiplicity 2?

Firlakuza [10]

Answer:

f(x) = -x² + 8x - 16

Step-by-step explanation:

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3 years ago

Does the equation y = 4.2x represent a proportional relationship? Choose the correct response.

charle [14.2K]

I agree with the answer the guy saif

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3 years ago

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Quadrilateral ABCD is a parallelogram. What is the measure of ∠DAB? Show your work.

Lilit [14]

Answer:

∠ DAB = 133°

Step-by-step explanation:

In a parallelogram ABCD, the opposite angles are equal. That means ∠ A = ∠ C and ∠ B = ∠ D.

Now, it is given that ∠ D = 3x + 17 and ∠ B = 5x - 3

So, 3x + 17 = 5x - 3

⇒ 2x = 20

⇒ x = 10

Therefore, ∠ B = 5x - 3 = 50 - 3 = 47°

Now, we know that in a parallelogram the adjacent angles are supplementary i.e. ∠ A + ∠ B = 180°

⇒ ∠ A = 180 - ∠ B = 180° - 47° = 133°

Therefore, ∠ DAB = 133° (Answer)

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3 years ago

Sam initially invested $4,500 into a savings account that offers an interest rate of 3% each year. He wants to determine the num

choli [55]

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill&7020\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill \end{cases}$

$\bf 7020\geqslant 4500(1+0.03t)\implies \cfrac{7020}{4500}\geqslant 1+0.03t\implies \cfrac{39}{25}\geqslant 1+0.03t \\\\\\ \cfrac{39}{25}-1\geqslant 0.03t\implies \cfrac{14}{25}\geqslant 0.03t\implies \cfrac{~~\frac{14}{25}~~}{0.03}\geqslant t\implies \cfrac{56}{3}\geqslant t \\\\\\ 18\frac{2}{3}\geqslant t\impliedby \textit{18 years and 8 months}~\hfill \boxed{0 \leqslant t \leqslant 18\frac{2}{3}} \\\\\\ ~\hspace{34em}$

check the picture below.

bearing in mind that "t" cannot be less than 0.

8 0

3 years ago

Of 1414 possible​ books, you plan to take 55 with you on vacation. how many different collections of 55 books can you​ take?

Of 1414 possible books, you plan to take 55 with you on vacation. how many different collections of 55 books can you take?