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1 year ago

Audrey and Sam divided money in the ratio of 3 to 5. Audrey obtained $36, how much money do they have altogether?

Mathematics

1 answer:

Ivenika [448]1 year ago

8 0

8:20 is the same as 2:5.

<h3>What is unitary method?</h3>

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

= 12 + S
S= (2/5)A
S= (2/5)(12+S)
5S = 24 + 2S
3S = 24
S = 24/3 = 8 = what Sam received
A= 8+12 = 20 = what Audreyreceived
8:20 is the same as 2:5
divide both 8 and 20 by 4 to get the 2 to 5 ratio.

hence,8:20 is the same as 2:5.

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Consider the numberless roulette game at a casino. On a spin of the wheel, the ball lands in a space with color red (r), green (

Tatiana [17]

Answer:

a. Probability of Event A = 2.724037476607E−24

b. G19 = 0.123

c. P(Winning) = 0.475

Step-by-step explanation:

Given

Red (r) = 19

Green (g) = 19

Black (b) = 2

Total = 19 + 19 + 2 = 40

a. In 40 spins of the wheel, find the probability of event A = {19 reds, 19 greens, and 2 blacks}.

This is calculated as follows;

Let P(R) = Probability of Red

P(R) = 19/40

Let P(G) = Probability of Green

P(G) = 19/40

Let P(B) = Probability of Black

P(B) = 2/40

Total number of arrangement = 40!/(19!19!2!) = 27,569,305,764,000

Probability of Event A = 27,569,305,764,000 * (19/40)^19 * (19/40)^19 * (2/40)^19

Probability of Event A = 2.724037476607E−24

b. In 40 spins of the wheel, find the probability of the event G19 = {19 greens}.

Let P(G) = Probability of Green

P(G) = 19/40

Let P(Other) = Probability of any colour other than green = (2+19)/40

P(Other) = 21/40

Total = 40C19

G19 = 40C19 * (19/40)^19 * (21/40)^21

G19 = 0.125525075056335

G19 = 0.123 ---- Approximated

c. Given that you randomly choose to bet red and green only, what is the probability p that you bet a winner?

Let P(R) = Probability of Betting Red

P(R) = 19/40

Let P(G) = Probability of Betting Green

P(G) = 19/40

Let P(Winning) = Probability of Winning

P(Winning) = ½ * P(G) + ½ * P(R)

P(Winning) = ½ * 19/40 + ½ * 19/40

P(Winning) = ½(19/40 + 19/40)

P(Winning) = ½(38/40)

P(Winning) = 19/40

P(Winning) = 0.475

7 0

3 years ago

Read 2 more answers

In 1984 a locally-owned car company sold 2,743 cars. In 2003, the car sales rose to 4,069. What was the average rate of change f

tatiyna

Answer:

70 cars per year.

Step-by-step explanation:

Given:

In 1984 a locally-owned car company sold 2,743 cars.

In 2003, the car sales rose to 4,069.

Question asked:

What was the average rate of change for the total number of cars sold?

Solution:

In 2003 number of cars sold = 4069

In 1984 number of cars sold = 2743

Change in the number of car sold = 4069 - 2743

= 1326

Now, time interval between 2003 and 1984 = 19

$The\ average\ rate\ of\ change=\frac{Change\ in\ the\ number\ of\ car\ sold}{Time \ interval}$

$=\frac{1326}{19} \\=69.789\\\\=70\ cars\ per\ year\ (approx)$

Thus, the average rate of change for the total number of cars sold is 70 cars per year.

7 0

3 years ago

1/3 of 7 as a fraction

klio [65]

Hey There! Whoever we see the keyword “of”, we know that it’s multiplication Therefore we’re multiplying 1/3 and 7/1 that gives us 7/3

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3 years ago

Which costs the most: 12 cat toys, 4 bags of cat food, or 3 litter boxes? Explain.

lukranit [14]

Answer:

3 litter boxes

Step-by-step explanation:

It depends what type it is

7 0

3 years ago

Which of the following sets of inequalities

Ludmilka [50]

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

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2 years ago