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denis-greek [22]
3 years ago
15

Steve ran for class president against Mandy. Steve received 5 votes for every 3 votes that Mandy received. Mandy received 420 vo

tes. If all the students only voted once?how many students voted in the election? Pls help ASAP!!
Mathematics
1 answer:
Serjik [45]3 years ago
4 0

Answer:

1120

Step-by-step explanation:

The ratio Steve : Mandy is 5 : 3.

We use a proportion to find the number of votes Steve received.

x = number of votes Steve received.

5/3 = x/420

3x = 5 * 420

x = 5 * 140

x = 700

Steve received 700 votes.

The total number of votes is the sum of the votes Steve receive and Mandy received.

420 + 700 = 1120

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Step-by-step explanation:

Consider the provided information.

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The sketch that shows parallel lines is shown in figure.

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3 years ago
What is (10y+6) (8y-6) ?
ANEK [815]

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

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Factor constant terms from the left hand side:

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Hint: | Divide both sides by a constant to simplify the equation.

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Hint: | Isolate terms with y to the left hand side.

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4 years ago
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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
There are 6 students. 2 of them are chosen for the position of president and Vice President. How many ways do we have to choose
Nutka1998 [239]

We have 15 ways to chose 2 students for the position of president and Vice President

<em><u>Solution:</u></em>

Given that,

There are 6 students. 2 of them are chosen for the position of president and Vice President.

<em><u>To find: number of ways we have to choose the students from the 6 students</u></em>

So now we have 6 students, out of which we have to choose 2 students

As we just have to select the students. We can use combinations here.

In combinations, to pick "r" items from "n" items, there will be ^{\mathrm{n}} \mathrm{C}_{\mathrm{r}} ways

^{\mathrm{n}} \mathrm{C}_{\mathrm{r}}=\frac{n !}{(n-r) ! r !}

<em><u>Then, here we have to pick 2 out of 6:</u></em>

Total students = n = 6

students to be selected = r = 2

\begin{aligned} 6 C_{2} &=\frac{6 !}{(6-2) ! 2 !} \\\\ 6 C_{2} &=\frac{6 !}{4 ! 2 !} \\\\ 6 C_{2} &=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 1}{4 \times 3 \times 2 \times 1 \times 2 \times 1} \\\\ 6 C_{2} &=15 \end{aligned}

Thus we have 15 ways to chose 2 students for the position of president and Vice President

3 0
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