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den301095 [7]
3 years ago
8

if a mayor is elected with 53% of the votes cast and 85% of a town's 26,000 voters voted, how many votes did the mayor receive?

Mathematics
1 answer:
lesya [120]3 years ago
3 0
That is the answer to it
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Choose the answer that best translates
Kryger [21]

Answer:

OPTION B

Step-by-step explanation:

<h2>3a - 5</h2>

3 and 'a' are multiplied and 5 is subtracted from the result.

OPTION B says 5 less than 3 times a number would fit perfectly.

Other options talk about adding or taking ratios and clearly do not fit the case.

Hence, the right answer is Option B.

7 0
4 years ago
Solution to system of equations
Rufina [12.5K]

Answer: In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system

6 0
3 years ago
Angle α lies in quadrant II , and tan α = <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B5%7D" id="TexFormula1" title="-\f
Hunter-Best [27]

Since \alpha lies in quadrant II and \beta lies in quadrant IV, we expect \sin\alpha>0, \cos\alpha, and \sin\beta.

Recall the Pythagorean identities,

\sin^2x+\cos^2x=1\iff1+\cot^2x=\csc^2x\iff\tan^2x+1=\sec^2x

It follows that

\sec\alpha=\dfrac1{\cos\alpha}=-\sqrt{\tan^2\alpha+1}=-\dfrac{13}5\implies\cos\alpha=-\dfrac5{13}

\sin\alpha=\sqrt{1-\cos^2\alpha}=\dfrac{12}{13}

\sin\beta=-\sqrt{1-\cos^2\beta}=-\dfrac45

Recall the angle sum identity for sine:

\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha

So we have

\sin(\alpha+\beta)=\dfrac{12}{13}\dfrac35+\left(-\dfrac45\right)\left(-\dfrac5{13}\right)=\boxed{\dfrac{56}{65}}

4 0
3 years ago
Which of the following options have the same value as 75%, percent of 96
PtichkaEL [24]
75%of 96 (75/100)*96=72
6 0
3 years ago
A small fruit basket contains the fruit shown. A large basket has the same ratio of fruits as the small basket. If the large bas
yarga [219]

Answer: i don’t know

Step-by-step explanation: my brain hurts from trying to figure this out sorry

5 0
3 years ago
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