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ad-work [718]
2 years ago
10

Olivia had math and reading homework tonight. Olivia can solve each math problem in 1 minute and she can read each page in 1.5 m

inutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. Write a system of equations that could be used to determine the number of math problems Olivia solved and the number of pages she read. Define the variables that you use to write the system
Mathematics
1 answer:
ziro4ka [17]2 years ago
8 0

Answer: the system of equations are

x + y = 22

x + 1.5y = 30

Step-by-step explanation:

Let x represent the number of math problems that Olivia solved.

Let y represent the number of pages that Olivia read.

Olivia completed a total of 22 math problems and pages of reading. This means that

x + y = 22- - - - - - - - - - - - - - -1

Olivia can solve each math problem in 1 minute and she can read each page in 1.5 minutes. Olivia completed a total of 22 math problems and pages of reading in 30 minutes. This means that

x + 1.5y = 30 - -- - - - - - - - - -2

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Suppose that a company's sales were $1,000,000 6 years ago and are $9,000,000 at the end of the 6 years. Find the geometric mean
Dmitriy789 [7]

Answer:

The geometric mean growth rate of sales is 1.4422.

Step-by-step explanation:

We have two sales values, one from 6 years ago and the other from now.

We have to calculate the geometric growth rate of sales.

We have:

y(-6)=1,000,000\\\\y(0)=9,000,000

We can write the relation between these two values as:

y(0)=y(-6)k^{0-(-6)}\\\\9,000,000=1,000,000k^6\\\\k^6=9\\\\k=9^{1/6}= 1.4422

The geometric mean growth rate of sales is 1.4422.

6 0
2 years ago
A matrix contains 60 elements. Which of the following cannot equal the number of rows of the matrix?
avanturin [10]

<span>Given:

Matrix = 60 elements</span>

 

<span>To solve this, we need to take into account that each row must contain the same number of elements. So, we need to find which of the options do not divide evenly into 60 (the options are 30, 60, 10, and 18).

So we check each of the choices to see if 1 of them divides evenly with 60.

60 / 60 = 1 (divides evenly)</span>

60 / 30 = 2 (divides evenly)

<span>60 / 10 = 6 (divides evenly)
</span>60 / 18 = 3.3.3333333333333333333333333333333 (does not divide evenly)

Therefore, 18 cannot equal the number of rows of the matrix.

6 0
2 years ago
Determine the margin of error, m , of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume
madreJ [45]

Answer:

E= 6.45

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

Step-by-step explanation:

Margin error is the value that is lie above and below the sample.It gives percentage of numbers.Its is the product of critical value standard deviation and standard error of statistic.

General formula for the margin of error is

Margin of error = critical value  ×   standard error of statistic

                        = z \alpha /2  ×   σ √n

z-value from two tailed is listed below:

From the table of standard normal distribution, probability value of 0.10.

row and column values gives the area to the two tail of z.

The positive z value is 2.58.

standard deviation is σ = 15,

The critical value is z(α/2) = 2.58.

after putting these vales we obtain the margin of error value that is

E= 6.45

7 0
2 years ago
What is the following quotient? StartFraction 1 Over 1 + StartRoot 3 EndRoot EndFraction StartFraction StartRoot 3 EndRoot Over
Tems11 [23]

Answer:

  D.  StartFraction negative 1 + StartRoot 3 EndRoot Over 2 EndFraction

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator. Then the denominator is the difference of squares, which will be rational. This simplification is called "rationalizing the denominator."

  \dfrac{1}{1+\sqrt{3}}=\dfrac{1}{1+\sqrt{3}}\cdot\dfrac{1-\sqrt{3}}{1-\sqrt{3}}=\dfrac{1-\sqrt{3}}{1^2-(\sqrt{3})^2}\\\\=\dfrac{1-\sqrt{3}}{-2}=\boxed{\dfrac{-1+\sqrt{3}}{2}}

6 0
2 years ago
Read 2 more answers
The Golden Braid Bookstore currently has $340,000 in cash, $280,000 in inventory, and $40,000 in accounts receivable. The compan
Ivenika [448]

Answer:

The quick ratio is 4.75:1.

Step-by-step explanation:

From the given information it is clear that:

Cash = $340,000

Inventory = $280,000

Accounts receivable =  $40,000

Accounts payable = $65000

Other current liabilities = $15000

Formula for quick ratio:

\text{Quick ratio}=\frac{\text{Cash + Current receivables + short-term investment}}{\text{Current Liabilities}}

Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).

\text{Quick ratio}=\frac{340000+40000}{65000+15000}

\text{Quick ratio}=4.75

Therefore the quick ratio is 4.75:1.

8 0
2 years ago
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