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Alchen [17]
3 years ago
14

In a recent student government​ election, the ratio of students who voted for the winner to all the students who voted was 0.55

The number of students who voted was 40. How many votes did the winner​ get?
Mathematics
2 answers:
vlabodo [156]3 years ago
8 0
The answer is 22 students<span />
Temka [501]3 years ago
3 0
The ratio being 0.55 means 55% of students voted for the person who ended up winning. If there were 40 people who voted, just find 55% of 40.
This is done by 0.55 • 40, which equals 22.
So 22 students voted for the person who ended up winning.
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8 0
3 years ago
algebraically determine the values of h and k to correctly complete the identity stated below : 2 x cubed - 10x squared + 11x -
11Alexandr11 [23.1K]

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The values for expression is h = - 2 and k = 5

Step-by-step explanation:

Given algebraic expression can be written as :

2 x³ - 10 x² + 11 x - 7 = ( x - 4 ) × ( 2 x² + h x + 3 ) + k

Now opening the bracket

Or, 2 x³ - 10 x² + 11 x - 7 = x × ( 2 x² + h x + 3 ) - 4 × ( 2 x² + h x + 3  ) + k

Or, 2 x³ - 10 x² + 11 x - 7 = 2 x³ + h x² + 3 x - 2 x² - 4 h x - 12  +k

Or , 2 x³ - 10 x² + 11 x - 7 = 2 x³ + ( h - 2 ) x² + ( 3 - 4 h ) x - 12  + k

Now, equating the equation both sides

I.e  - 10 =  ( h - 2 )

Or , h - 2 = - 10

I.e , h = - 10 + 2

∴ h = - 2

Again , 11  = ( 3 - 4 h )

or, 11 = 3 - 4 h

or, 11 - 3 = - 4 h

or, 8 = - 4 h

∴ h = \frac{-8}{4}

I.e h = - 2

Again

- 7 = - 12 + k

Or, k = - 7 + 12

∴  k = 5

Hence The values for expression is h = - 2 and k = 5    . Answer

5 0
2 years ago
Do the phrases 6 less a number y and 6 less than a number y mean the same thing? Explain. A. No, they do not both mean the same
Yuri [45]

Answer:

B. Yes, they both mean the same thing. They can also both be represented by the expression y - 6.

Step-by-step explanation:

Given

Phrase 1: 6 less a number y

Phrase 2: 6 less than a number y

<em>Mathematically,</em>

Phrase 1 can be represented as follows;

y - 6

<em>Mathematically,</em>

Phrase 2 can be represented as follows;

y - 6

<em>Since the representation  of both phrases are the same, then option B answers the question.</em>

<em></em>

4 0
2 years ago
A jar holds no more than 500 buttons. If 5 people bring 330 buttons each, how many jars are necessary to hold all of the buttons
Strike441 [17]

Answer:

We know

1 jar = 500 buttons

5 people bring 330 buttons EACH

We can find/solve by...

people x buttons = total buttons

total buttons / 500 = number of jars needed

So..

5 x 330 = 1650

1650 / 500 = 3.3

Your answer:

4 jars

Explanation

It's impossible to have 3.3 jars, so you must round up.

Step-by-step explanation:

8 0
2 years ago
There are 20 20 coins in a jar. Each coin is either a nickel or a quarter. If one of the coins is selected at random, the probab
sveta [45]

Answer: there are 8 quarters in the jar

Step-by-step explanation:

Let x represent the number of nickels that is inside the jar.

The total number of coins inside the jar is 20.

Probability is expressed as

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The probability of selecting a nickel is 0.6. This is expressed as

0.6 = x/20

Cross multiplying, it becomes

x = 20 × 0.6

x = 12

Since there are 12 nickels inside the jar, then the number of quarters would be

20 - 12 = 8

3 0
3 years ago
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