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monitta
2 years ago
6

Help Plsssss middle school math

Mathematics
2 answers:
Inga [223]2 years ago
7 0

Answer:

99

Step-by-step explanation:

Add up total amount of votes

4+11+8+7 = 30

270/30 = 90

Set up ratio

11/30 = x/270

cross multiply

30x = 2970

divide both sides by 30 to get x by itself

x = 99

Burka [1]2 years ago
3 0

Answer:

99 votes for ice cream

Step-by-step explanation:

4 + 11 + 8 + 7 = 30

270/30 = 9

to find the predictions multiply the votes by 9

ice cream has 11 votes

11 * 9 = 99

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Write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9
amm1812
3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3 
k = -3  ← simplest form
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3 years ago
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The pie chart shows information about voters in an election. 3360
Lesechka [4]

Answer:

4838 total number of voters

Step-by-step explanation:

In a whole circle there 360°, in a straight line theres 180°.

180-110=70 first to break it down to find the degrees of women.

180+70=250° for women.

250°=3360

we need to find 110° of men

25°=336

times 4

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Evaluate. 5 2/3-2 1/4.1 2/3
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3 years ago
What is the smallest integer $n$, greater than $1$, such that $n^{-1}\pmod{130}$ and $n^{-1}\pmod{231}$ are both defined?
olasank [31]

First of all, the modular inverse of n modulo k can only exist if GCD(n, k) = 1.

We have

130 = 2 • 5 • 13

231 = 3 • 7 • 11

so n must be free of 2, 3, 5, 7, 11, and 13, which are the first six primes. It follows that n = 17 must the least integer that satisfies the conditions.

To verify the claim, we try to solve the system of congruences

\begin{cases} 17x \equiv 1 \pmod{130} \\ 17y \equiv 1 \pmod{231} \end{cases}

Use the Euclidean algorithm to express 1 as a linear combination of 130 and 17:

130 = 7 • 17 + 11

17 = 1 • 11 + 6

11 = 1 • 6 + 5

6 = 1 • 5 + 1

⇒   1 = 23 • 17 - 3 • 130

Then

23 • 17 - 3 • 130 ≡ 23 • 17 ≡ 1 (mod 130)

so that x = 23.

Repeat for 231 and 17:

231 = 13 • 17 + 10

17 = 1 • 10 + 7

10 = 1 • 7 + 3

7 = 2 • 3 + 1

⇒   1 = 68 • 17 - 5 • 231

Then

68 • 17 - 5 • 231 ≡ = 68 • 17 ≡ 1 (mod 231)

so that y = 68.

3 0
3 years ago
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