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xeze [42]
3 years ago
8

Xian and his cousin Kai both collect stamps. Xian has 56 stamps, and Kai has 80 stamps. The boys recently joined different stamp

-collecting clubs. Xian’s club will send him 12 new stamps per month. Kai’s club will send him 8 new stamps per month.
a.  After how many months will Xian and Kai have the same number of stamps?
b.  How many stamps will each person have?​
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

A.After how many months will Xian and Kai have the same number of stamps?

Step-by-step explanation:

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3 years ago
64, –48, 36, –27, ...<br><br> Which formula can be used to describe the sequence?
nordsb [41]

Answer:

\boxed{a_n \:  =  \: 64 \:  \times  \: ( -  \frac{3}{4} ) ^{n \:  -  \: 1} }

Step-by-step explanation:

  • We first compute the ratio of this geometric sequence.

r \:  =  \:  \frac{ - 48}{64}  \\  \\ r   \:  =  \:  \frac{36}{ - 48}  \\  \\  r \:  =  \:  \frac{ - 27}{36}

  • We simplify the fractions:

r \:  =  \:   -  \frac{3 }{4}   \\  \\ r   \:  =  \:   -  \frac{3 }{4}  \\  \\  r \:  =  \:    -  \frac{3 }{4}

  • We deduce that it is the common ratio because it is the same between each pair.

r \:  =  \:  -  \frac{3 }{4}

  • We use the first term and the common ratio to describe the equation:

a_1 \:  =  \: 64; \: r \:  =  \:  -  \frac{3 }{4}

<h3>We apply the data in this formula:</h3>

\boxed{a_n \:  =  \: a_1 \:   \times  \:  {r}^{ n \:  -  \: 1} }

_______________________

<h3>We apply:</h3>

\boxed {\bold{a_n \:  =  \: 64 \:   \times  \:  {( -  \frac{3}{4} )}^{ n \:  -  \: 1} }}

<u>Data</u>: The unknown "n" is the term you want

<h3><em><u>MissSpanish</u></em></h3>
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Serggg [28]

Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.

2, 18

Write the factored form using these integers.

(x+2)(x+18)

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Which statements are always true regarding the
umka21 [38]

C) m∠5 + m∠6 =180°

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E) m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

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