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3 years ago

Aubrey buys 3 pens and 5 pencils for $15. She may also buy 4 pens and 6 pencils for $19. How much does one pencil cost?

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

each pencil costs $1.5.

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Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. How many different groups

irakobra [83]

Answer:

56 groups of 5 Fabergé eggs can be taken.

Step-by-step explanation:

It is given that Ashley is packing her bags for her vacation. She has 8 unique Fabergé eggs, but only 5 fit in her bag. In order to find how many different groups of 5 Faberge' eggs can she take, we apply the combination formula:

$8C_{5}=\frac{8!}{5!(8-5)!}$

$8C_{5}=\frac{8!}{5!3!}$

$8C_{5}=\frac{8{\times}7{\times}6{\times}5!}{5!{\times}3{\times}2}$

$8C_{5}=56$

Thus, 56 groups of 5 Fabergé eggs can be taken.

8 0

3 years ago

The first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.

Licemer1 [7]

Answer:

Correct choice is C). mn=ac

Step-by-step explanation:

Given statement is that the first step in factoring a trinomial of the form is to find two numbers, m and n, such that m + n = b and _____.

We know that when we factor polynomial of type $ax^2+bx+c$ ,product of both numbers m and n must be same as product of a and c.

Hence correct choice is C). mn=ac

4 0

3 years ago

Simplify. -9 -5 -7 х Y Z 2 6 3 X Y Z

krok68 [10]

Answer:

$= {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

Step-by-step explanation:

$= \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}$

7 0

3 years ago

Cual de estos utiliza la propiedad distributiva para mostrar la forma expandida de la expresion: -4 . (-5 + 3)

mr Goodwill [35]

Respuesta:

Explicación paso a paso:

Si A, B y C son números enteros, según la propiedad distributiva;

A (B + C) = AB + AC

tenga en cuenta que A se distribuyó sobre B y C

Aplicando esto para expandir la expresión dada -4. (-5 + 3)

-4. (-5 + 3)

= -4 (-5) + -4 (3)

= 20 + (-12)

= 20 - 12

= 8

Por lo tanto, la respuesta requerida es 8

3 0

3 years ago

What is 363 rounded to the nearest ten and hundred

anyanavicka [17]

3 is less than 5, so rounded to the nearest ten is 360.

6 is greater than 5, so rounded to the nearest hundred, our answer is 400.

4 0

3 years ago

Read 2 more answers