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3 years ago

24% 24, percent of a number is what fraction of that number?

Mathematics

2 answers:

SOVA2 [1]3 years ago

6 0

<u>Answer:</u>

24% of a number is 6/25 of that number.

<u>Step-by-step explanation:</u>

The word percent can be broken down into two sub units: per and cent, meaning per for every cent i.e. 100.

So when we call a number percent, it means that the number is divided by 100.

If we have 24 percent, then we can write it as 24 / 100 which can further be simplified by finding their greatest common factor.

For 24 and 100, we have 4 as their greatest common factor which gives us a value of $\frac{6}{25}$ .

Schach [20]3 years ago

3 0

24% = 24/100 = 6/25

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A carpool service has 2,000 daily riders. A one-way ticket costs $5.00. The service estimates that for each $1.00 increase to th

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Answer:

Total number of riders that ride on carpool daily = 2000

Total Cost of one way ticket = $ 5.00

Total Amount earned if 2000 passengers rides daily on carpool = 2000 × 5

= $10,000

If fare increases by $ 1.00

New fare = $5 + $1

= $6

Number of passengers riding on carpool = 2,000 - 100 = 1,900

If 1,900 passengers rides on carpool daily , total amount earned ,if cost of each ticket is $ 6 = 1900 × $6 = $11400

As we have to find the inequality which represents the values of x that would allow the carpool service to have revenue of at least $12,000.

For $ 1 increase in fare = (2,000 - 1 × 100) passengers

For $ x increase in fare, number of passengers = 2,000 - 100·x

= (2,000 - 100·x) passengers

New fare = 5 + x

New Fare × Final Number of passengers ≥ 12,000

(5+x)·(2,000 - 100 x) ≥ 12,000

5 (2,000 - 100 x) + x(2,000 - 100 x) ≥ 12,000

10,000 - 500 x + 2,000 x - 100 x² ≥ 12,000

100 - 5 x + 20 x - x² ≥ 120

- x² + 15 x +100 - 120 ≥ 0

-x² + 15 x -20 ≥ 0

x² - 15 x + 20 ≤ 0

⇒ x = 1.495

x ≥ $ 1.495, that is if we increase the fare by this amount or more than this the revenue will be at least 12,000 or more .

Also, f'(x) = 0 gives x = 7.5

⇒ The price of a one-way ticket that will maximize revenue is $7.50

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3 years ago

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3 years ago

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3 years ago

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Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of

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By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF: D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

Learn more about this concept here:

brainly.com/question/6563819

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2 years ago

A roulette wheel has the numbers 1 through 36, 0, and 00. A bet on five numbers pays 6 to 1 (that is, if one of the five numbers

tatiyna

Answer:

5 cents

Step-by-step explanation:

So the roulette wheel would have a total of 38 numbers, which means 38 different possible cases. Since you are allowed to bet on 5 numbers, the chance to win this is 5 out of 38 and to lose this is 33 out of 38.

If you win, you get 1 + 6 = 7 dollar, and if you lose, you lose 1 dollar.

Therefore the expected amount out of this game is:

$E = 7\frac{5}{38} - 1\frac{33}{38} = \frac{35}{38} - \frac{33}{38} = \frac{2}{38} = \frac{1}{19} = \$0.0526$

or 5 cents

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3 years ago