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Nataliya [291]
3 years ago
12

The director of a marching band asks the band members to line up in rows of four, but one is left over. Then she tries to line t

hem up in rows of six, but three are left over. Finally, she tries to line them up in rows of seven, but four are left over. The band has fewer than $100$ members. How many members are there?
Mathematics
1 answer:
lions [1.4K]3 years ago
6 0
I got 81 members. 4 x 20 = 80 81-80=1
6 x 13= 78 81-78= 3
7 x 11= 77 81-77= 4
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Fine the 25th term of an arithmetic progression 12,16,20,24,<br>​
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Answer:

108

Step-by-step explanation:

The n th term of an arithmetic sequence is

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where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 16 - 12 = 4, thus

a_{25} = 12 + (24 × 4) = 12 + 96 = 108

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How many times can 5 go into 78
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15.6

Step-by-step explanation:

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June bought three books. For the first book, she paid one half of her allowance plus $1 more. For the second book, she paid one
inysia [295]

Answer:

$34

Step-by-step explanation:

I'd work backwards.

For the third book, she paid all her remaining money. The problem says she paid "1/2 her leftover money + $3". This means that: (let m = money used to buy book 3)

m = 1/2m + 3

1/2m = 3

m = 6

For the second book: (let n = money before book 2)

n - m (money left after book 2) = 1/2n + 2

1/2n +2 is money used up for book, which is the same as n-m.

n = 1/2n + 2 + m

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For the first book, she spent 1/2 her money + 1. If o = money before book 1 (or the whole allowance):

o - n = 1/2o + 1

o = 1/2o + n + 1 = 1/2o + 16 + 1

1/2o = 17

o = 34

Check!

Spent 17 (half 34) + 1 on book 1

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4 0
2 years ago
Work out the size of one of the exterior angles
hodyreva [135]

<u>Given</u><u> </u><u>Information</u><u> </u><u>:</u><u>-</u>

⠀

  • A polygon with 10 sides ( Decagon )

⠀

<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u>

⠀

  • The value of one of the exterior angles

⠀

<u>Formula</u><u> </u><u>Used</u><u> </u><u>:</u><u>-</u>

⠀

\qquad \diamond \:  \underline{ \boxed{ \pink{ \sf Exterior ~angle = \dfrac {360^\circ}{no. ~of~sides}}}} \:  \star

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<u>Solution</u><u> </u><u>:</u><u>-</u>

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Putting the given values, we get,

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\sf \dashrightarrow Exterior ~angle =  \dfrac{360  ^\circ}{10} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \frac{36 \cancel{0}^\circ}{ \cancel{10}} \:  \:   \\  \\  \\ \sf \dashrightarrow Exterior ~angle =  \underline{ \boxed{ \frak{ \red{36^\circ}}}} \: \star \\  \\

Thus, the value of the exterior angles of a Decagon is 36°.

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\underline{ \rule{227pt}{2pt}} \\  \\

8 0
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I don't get this can somone help me please ​
wolverine [178]

Answer:

f = m+h

Step-by-step explanation:

just add h to both sides of the equation to isolate f.

Hope this helps!

7 0
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