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In-s [12.5K]
4 years ago
6

Eighty-five percent of the students dressed up for spirit week. What fraction of the student body did NOT dress up for spirit we

ek?

Mathematics
2 answers:
siniylev [52]4 years ago
7 0

Answer:

17/20

Step-by-step explanation:

Anastasy [175]4 years ago
7 0

Answer:

15/100 or 3/20

Step-by-step explanation:

Only 15% of the school did NOT dress up for spirit week as 85% did. 15% as a fraction is 15/100. 15/100 Simplified is 3/20

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Y= -5.8 is the correct answer
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PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Juli2301 [7.4K]

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QPN and TSU

Step-by-step explanation:

They're both exterior angles and they are both alternate to each other.

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3 years ago
Subtracting Fractions
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A:2/15
5times3=15denominator
4times3=12
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10-12=2/15
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3 years ago
Evaluate 1^3 + 2^3 +3^3 +.......+ n^3
Molodets [167]

Notice that

(n+1)^4-n^4=4n^3+6n^2+4n+1

so that

\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)

We have

\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)

\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1

so that

\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)

You might already know that

\displaystyle\sum_{i=1}^n1=n

\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2

\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6

so from these formulas we get

\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n

\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4

\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}

If you don't know the formulas mentioned above:

  • The first one should be obvious; if you add n copies of 1 together, you end up with n.
  • The second one is easily derived: If S=1+2+3+\cdots+n, then S=n+(n-1)+(n-2)+\cdots+1, so that 2S=n(n+1) or S=\dfrac{n(n+1)}2.
  • The third can be derived using a similar strategy to the one used here. Consider the expression (n+1)^3-n^3=3n^2+3n+1, and so on.
7 0
4 years ago
Yoshi has $234 to spend on his holiday shopping. Using the information in the table, write and solve an equation to determine th
xxMikexx [17]

Answer:

  the number line with a mark at 6

Step-by-step explanation:

Let m represent the number of MP3 players Yoshi can afford. Then we must have ...

  39m ≤ 234

Dividing by 39 gives ...

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Yoshi can afford to buy 6 MP3 players.

7 0
4 years ago
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