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Nostrana [21]
3 years ago
10

Find the sales tax and total cost of an expresso machine that costs $32.95. The tax rate is 7%.

Mathematics
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

The answer is $2.3.

Step-by-step explanation:

$32.95 times 7 divided by 100 is equals to $2.3 which is the sales tax.

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The results of inspection of DNA samples taken over the past 10 days are given below. Sample size is 100.
ASHA 777 [7]

Answer:

The average defective rate  = .057

Step-by-step explanation:

Given -

Sample size n = 100

Day    -         1  2  3  4  5  6  7  8  9  10

Defectives -  7  6  6  9  5  6  0  8  9   1

The average defective rate is the no of defective in each day for past ten days

The average defective rate  =  \frac{\sum no\;  of \; effective \;  in\;  each\;  day}{no\; of \; day \times n}

                                               = \frac{7 + 6 + 6 + 9 + 5 + 6 + 0 + 8 + 9 + 1}{10\times 100}

                                               = \frac{57}{1000}

                                               = .057

7 0
3 years ago
Solve the inequality both algebraically and graphically. Draw a number line graph of the solution and give interval notation.
Lemur [1.5K]
Finding the solution algebraically

To answer this inequality, we can follow the next steps:

1. Multiply by 7 both sides of the inequality:

7\cdot\frac{(x-7)}{2}

2. Multiply by 2 both sides of the inequality:

7\cdot2\cdot^{\cdot}\frac{(x-7)}{2}

3. Apply the distributive property at the left side of the inequality:

7\cdot x-7\cdot7

4. Add 49 to both sides of the inequality:

7x-49+49

5. Finally, divide both sides of the inequality by 7:

\frac{7x}{7}

We can graph this inequality in the number line as follows:

Notice the parenthesis indicating that the solution is the number below 131/7 (but not equal to 131/7). <em>In interval notation the solution is</em>:

(-\infty,\frac{131}{7})(-\infty,18\frac{5}{7})

Or, approximately:

(-\infty,18.7142857143)

The number 131/7 in decimal is equivalent to 18.7142857143, so the graph of the solution is given by graph A (we can see that there are seven divisions between 18 and 19; since we have that the shaded division is in the 5th division, then, we have 5/7 = 0.714285714286, that is, the decimal part of the above number).

We can express the number 131/7 as a mixed number as follows:

\frac{131}{7}=\frac{126}{7}+\frac{5}{7}=18+\frac{5}{7}=18\frac{5}{7}

Again, <em>notice also the symbol for the left part of the interval notation is a parenthesis since the interval is open at the point 131/7 = 18 + 5/7</em>.

Finding the solution graphically

To find the solution graphically, we can represent the inequality as two lines as follows:

y=\frac{x-7}{2},y=\frac{41}{7}

Then, if we graph the first line, we can find the x- and the y-intercepts to find two points to graph the line. We have that the x- and the y-intercepts are:

The x-intercept is (that is, when y = 0):

0=\frac{x-7}{2}\Rightarrow x-7=0\Rightarrow x=7

Then, the x-intercept is (7, 0), and the y-intercept (the point on the graph when x = 0) is:

y=\frac{x-7}{2}\Rightarrow y=\frac{0-7}{2}\Rightarrow y=-\frac{7}{2}

Then, the y-intercept is (0, -7/2).

The other line is given by:

y=\frac{41}{7}=\frac{35}{7}+\frac{6}{7}=5\frac{6}{7}

With this information, we can graph both lines:

And we can see that the point where the two lines coincide is:

(\frac{131}{7},\frac{41}{7})

Then, <em>the values for x of the line (x-7)/2 [that is, the values of y = (x-7)/2] that are less than y = 41/7, represented as</em>:

\frac{(x-7)}{2}

Are those values of x less than 131/7, or the solution is also (we express the solution as a fraction or a mixed number as follows) (the same solution):

(-\infty,\frac{131}{7})or(-\infty,18\frac{5}{7})

In summary, we have that the solution to the inequality is:

As an inequality:

x

In interval notation:

(-\infty,18\frac{5}{7})or(-\infty,\frac{131}{7})

And the representation of the solution on the number line is (option A):

4 0
1 year ago
please help! I already have 4, 5, and that's all please help me out dont put some stupid answer, please and thank you.​
Vika [28.1K]
3.) 106
6.) 75
7.) 59
8.) 64
6 0
3 years ago
Please help will mark brainliest
Alja [10]

Answer:

17 cm²

Step-by-step explanation:

First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).

For the big rectangle, I multiplied its length by its width.

The area of the big rectangle: 3cm * 5cm = 15cm²

For the smaller rectangle, I also multiplied its length and width.

The area of the small rectangle: 1cm * 2 cm = 2cm²

Add up its areas: 15+2

To get 17cm² as your final answer

3 0
3 years ago
Identify an equation in slope-intercept form for the line parallel to y=-3x+7
Anit [1.1K]

Answer:

y + 4 = -3(x -2)

Step-by-step explanation:

A line parallel to y = -3x + 7 also has a slope of -3.

Use the point-slope formula:

y - k = m(x - h)

Inserting the given info, we get:

y + 4 = -3(x -2)

3 0
3 years ago
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