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3 years ago

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The graph show the ratio of pencils to pens sold at the school bookstore. If the bookstore sells 15 pencils, how many pens does

it sell?

1 answer:

alexira [117]3 years ago

7 0

just look at the graph fam its 18 pens

You might be interested in

The revenue from manufacturing and selling x units of toaster ovens is given by:

nexus9112 [7]

Answer:

$248,000.

Step-by-step explanation:

We have been given that the revenue from manufacturing and selling x units of toaster ovens is given by $R(x)=-0.3x^2+200x-82,000$ .

To find the amount of revenue earned from selling 3,000 toaster, we will substitute $x=3,000$ in the given formula as:

$R(3,000)=-0.03(3,000)^2+200(3,000)-82,000$

$R(3,000)=-0.03*9,000000+600,000-82,000$

$R(3,000)=-270,000+518,000$

$R(3,000)=248,000$

Therefore, the company should expect revenue of $248,000 from selling 3,000 toaster ovens.

3 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

9 months ago

Show work for this scientific notation

Viktor [21]

$\frac{5.1*10^{-2}}{4.57*10^{-4}} \\=\frac{5.1*10^{2}}{4.57} \\=\frac{5.1}{4.57}*10^{2}\\=1.1*10^{2}$

The answer is rounded to the nearest tenth.

7 0

3 years ago

I’ll mark brainliest pls I need asap

timurjin [86]

Answer:

10

Step-by-step explanation:

-(-) = +

2-(-8)

2+8

=10

8 0

3 years ago

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevat

morpeh [17]

So, you would 13 + 9 = which is 22 feet and since the angle is 50 degrees, you would multiply 22 x tan(50) to find the height of the streetlamp:22 x tan(50) = 26.21. So, the streetlamp is about 26 feet tall!Hope this helps!

3 0

3 years ago