MATHEMATICS COLLEGE

Write a function rule for the problem

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Answer 2

Answer:

Answer:

What function?

Step-by-step explanation:

Can you provide me with the problem.

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4 tons of cement cost $480.00. What is the price per pound?

Answers

Answer:

$120 per pound

Step-by-step explanation:

Need Help What Is -10r+9r

Answers

The value for the expression -10r + 9r is -1r.

what is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

-10r+9r

Now, perform operations to solve

=-10 r + 9r

= r( -10 + 9)

Using properties of integers

(-) x (+ )= -

So,

= r( -1)

= -1r

Learn more about Algebra here:

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Answer:

-1r

Step-by-step explanation:

The distribution of the annual incomes of a group of middle management employees approximated a normal distribution with a mean of $37,200 and a standard deviation of $800. About 68% of the incomes lie between what two incomes

Answers

Answer:

68% of the incomes lie between $36,400 and $38,000.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $37,200

Standard Deviation, σ = $800

We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.

Empirical rule:

Almost all the data lies within three standard deviation of mean for a normally distributed data.
About 68% of data lies within one standard deviation of mean.
About 95% of data lies within two standard deviation of mean.
About 99.7% of data lies within three standard deviation of mean.

Thus, 68% of data lies within one standard deviation.

$\mu \pm \sigma\n=37200 \pm 800\n=(36400,38000)$

Thus, 68% of the incomes lie between $36,400 and $38,000.

Question 17Solve the following problem below. Write your final answer in scientific notation
7.2 x 10
4 x 10-9
A
1.8 x 102
B
1.8 x 10-2
С
1.8 x 10-8
D
1.8 x 10-8

Answers

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

A recipe for 2 dozen corn muffins calls for 3 cups of flour. The number of muffins varies directly with the amount of flour you use. Write a direct variation equation to represent this.

Answers

Answer:

A direct variation equation to represent this ; $y = (2)/(3)x$

Step-by-step explanation:

Direct Variation states that a relationship between two variables in which one is a constant multiple of the other one.

In other words, when one of the variable changes then the other changes in proportion to the first.

If b is directly proportional to a, then the equation is in the i.e,

form $b = ka$ where k is the constant of variation.

Let y represents the number of muffins and x represents the amount of flour.

It is given that the number of muffins varies directly with the amount of flour you use.

As per the given statement:

y = 2 dozen corn and x = 3 cups of flour.

Then, by definition of Direct variation;

y = kx

Substitute the given values to find k;

$2 = 3k$

Divide both sides by 3 we get;

$k = (2)/(3)$

then, equation is, $y = (2)/(3)x$

Therefore, a direct variation equation to represent this situation is; $y = (2)/(3)x$

If x = 3 (y + 2) minus 1 what is the value of w in terms of x and y? w = StartFraction x minus 3 y Over 3 EndFraction w = StartFraction x minus 3 y + 1 Over 3 EndFraction w = x minus 3 y + 1 w = StartFraction x + 1 Over 9 y EndFraction

Answers

To find the value of w in terms of x and y, we need to substitute the given values of x and y into the equation for w. First, we are given the equation $x = 3(y + 2) - 1$ .

Let's simplify this equation before substituting it into the equation for w. Expanding the equation, we have: $x = 3y + 6 - 1 x = 3y + 5$ Now we can substitute the value of x into the equation for w. w $= (x - 3y + 1) / 3$ Substituting the value of x from the earlier equation: w $= (3y + 5 - 3y + 1) / 3 w = (6y + 6) / 3$

At this point, we can further simplify the equation by dividing both the numerator and denominator by 3: w $= 2y + 2$ Therefore, the value of w in terms of x and y is w $= 2y + 2. I$ n summary: Starting with x $= 3(y + 2) - 1,$ we substituted the value of x into the equation for w and simplified to obtain w $= 2y + 2.$