Show me how to solve the following problem 12.4 divided by two- fifths

Answers

Answer 1
Answer: 12.4 divided by 2/5
Start by converting the decimal into fraction;
12.4÷0.4
= 31
Answer 2
Answer: Write it down as (124/10)/(2/5). So when you divide fractions you can flip it as (124/10)*(5/2). So after that cross cancel and you can get 31

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What Is probability ?

Answers

Final answer:

Probability is a mathematical practice used to measure the likelihood of an event occurring. It is used extensively in various fields to predict the outcome of an experiment or event. The empirical probability is calculated from observed data, while the theoretical probability assumes equal likelihood for all outcomes.

Explanation:

Probability is a mathematical discipline that deals with the chance of an event occurring. It is a measure of certainty or uncertainty related to outcomes and activities, especially in experiments whose results are not predetermined, termed as chance experiments.

Whenever an experiment is carried out, it is referred to as a sample event. The set of all possible results of this experiment is termed as the sample space. The various results or outcomes of the event are subsets of this sample space, and each is associated with a probability.

The empirical probability of an event is calculated by dividing the number of times the event occurs by the total number of opportunities for it to occur. On the other hand, the theoretical probability is computed by dividing the number of expected occurrences of the event by the total number of potential occurrences. In most situations, the probabilities of individual outcomes are assumed to be equal, but this might not always be the case.

Probability is used extensively in various fields from forecasting weather conditions to predicting the outcome of an experiment or an event. For example, genetics, where it helps predict the outcomes of genetic crosses; finance, where it helps a stockbroker determine the rate of return on investments and many more.

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Khaliq produces and sells toy cars. The material for each car costs him $4. He has been selling them for $8 each and averaging sales of 40 per week. He has been told by Kiarash that he could charge more but has found that for each $0.50 increase in price, he would lose 4 sales each week. How much should Khaliq charge per car in order to have the greatest profit? What is the greatestprofit?

Answers

Answer:

He should charge 8.50 for each car for a profit of 162 dollars.

Step-by-step explanation:

Plot y = (x - 4)(40 - 8(x - 8)) on a graphing calculator such as desmos

Please help me with this question, as soon as possible.

Answers

Answer:

B y is 3/4 of (x+y)

Step-by-step explanation:

a : is the same thing as a division sign or a fraction bar

so 1 : 3 = 1/3

this ratio says that for every 1 of x, there are 3 y's.

so 1x = 3y or y = 1/3x

x = 1; y = 3

x + y = 4

y / (x+y)

3 / 4

y is 3/4 of (x+y)

Paul owes Paula 35 cents and has a pocket full of 55-cent coins, 10-cent coins, and 25-cent coins that he can use to pay her. What is the difference between the largest and the smallest number of coins he can use to pay her?

Answers

15 because the highest amount of coins he can use are 25 and the lowest is 10 so 25-10 is 15

The lateral area of a cone is 500 pi cm.^2. The radius is 50 cm. Find the slant height to the nearest tentha. 10 cm
b. 9.1 cm
c. 14.2 cm
d. 11.2 cm

Answers

The answer is a. 10 cm

The lateral area (LA) of the cone can be expressed as:
LA = π * r * l
r - the radius of the cone
l - slant height of the cone 

It is given:
l = ?
r = 50 cm
LA = 500π cm²

Let's replace these in the equation for the lateral area of the cone:
500π = π * 50 * l
500π = 50π * l
⇒ l = 500π/50π
    l = 10 cm

What is the product of 3x(x2 + 4)?

Answers

The product of the expression {3x(x² + 4)} as (3x³ + 12x).

What is expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

3x(x² + 4)

We can write the product as -

3x(x² + 4)

3x(x²) + 3x(4)

3x³ + 12x

Therefore, the product of the expression {3x(x² + 4)} as (3x³ + 12x).

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distributive property
a(b+c)=ab+ac
remember
(x^m)(x^n)=x^(m+n)

so

3x(x^2+4)=
(3x)(x^2)+(3x)(4)=
(3x^3)+(12x)=
3x^3+12x