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3 years ago

A flyer is spread by people

Mathematics

1 answer:

Vikki [24]3 years ago

7 0

Answer:

A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of - Brainly.in Find an answer to your question A flyer is spread by people at a large conference. Within one hour, the first person gives a stack of flyers to six people. there you go buuuuuudy

Step-by-step explanation:

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(12 points plus 5) List all the possible outcomes of a four color spinner (yellow, blue, green, orange) that is spun twice in a

8_murik_8 [283]

Answer:

1/4 for one spin

1/4 x 1/4 = 1/16

You have a 1/16 chance to spin the same color twice.

5 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). In interval notation the solution is:

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

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, 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.

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, 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:

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

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

How much lower was the 6 a.m. temperature in Boston than in Springfield?

weeeeeb [17]

35 degrees good luck on your work

3 0

4 years ago

Read 2 more answers

PLEASE HELP RIGHT AWAY, THANK U SO MUCH!! <3

vredina [299]

Answer:

1. Ans;

${a}^{7} \times {a}^{12} = {a}^{7 + 12} = {a}^{19}$

__o_o__

2. Ans;

$\frac{ {h}^{6} }{ {h}^{2} } = {h}^{4}$

__o_o__

3. Ans;

${e}^{6} \times {e}^{6} = {e}^{6 + 6} = {e}^{12}$

__o_o__

4.Ans;

$\frac{ {w}^{9} }{ {w} } = {w}^{8}$

__o_o__

5. Ans;

${g}^{2} \times {h}^{3} \times {g}^{2} \times h = {g}^{2 + 2} \times {h}^{3 + 1} = {g}^{4} {h}^{4}$

__o_o__

6.Ans;

$\frac{10 {a}^{12} }{ 6{a}^{3} } = \frac{5 {a}^{9} }{3}$

__o_o__

7.Ans;

$({m}^{4} )^{5} = {m}^{4 \times 5} = {m}^{20}$

__o_o__

8.Ans;

${(3 {a}^{2} })^{3} = ( {3})^{3} ( {a}^{2} ) ^{3} = 27 {a}^{6}$

__o_o__

9.Ans;

${( \frac{c}{k} })^{4} = \frac{ {c}^{4} }{ {k}^{4} }$

__o_o__

10.Ans;

${( \frac{8x}{9} })^{2} = \frac{( {8x})^{2} }{ ({9})^{2} } = \frac{64 {x}^{2} }{81}$

__o_o__

11.Ans;

$4 {c}^{2} \times {c}^{3} = 4 {c}^{2 + 3} = 4 {c}^{5}$

__o_o__

12.Ans;

${( - 9 {h}^{4} {k}^{6} })^{2} = {( - 9)}^{2} {( {h}^{4} })^{2} {( {k}^{6} })^{2} = 81 \: \: {h}^{8} {k}^{12}$

__o_o__

13.Ans;

$( { \frac{2d}{3e} })^{3} = \frac{ {(2d)}^{3} }{ ({3e)}^{3} } = \frac{8 {d}^{3} }{27 {e}^{3} }$

__o_o__

14. Ans;

${( \frac{4}{ {w}^{5} }) }^{3} = \frac{ ({4)}^{3} }{( {w}^{5} ) ^{3} } = \frac{64}{ {w}^{15} }$

_____o___o_____

$\frac{5 {v}^{4} \times 4 {v}^{5} }{2 {v}^{3} } = \frac{20 {v}^{4 + 5} }{2 {v}^{3} } = \frac{20 {v}^{9} }{2 {v}^{3} } = 10 {v}^{6}$

_o_o_

$( \frac{3 {f}^{4}h}{4 {h}^{9} } ) ^{3} = \frac{( {3})^{3} ( {f}^{4})^{3} ({h})^{3} }{ {(4)}^{3} ( {h}^{9})^{3} } \\ \\ \\ = \frac{27 {f}^{4 \times 3} {h}^{3} }{64 {h}^{9 \times 3} } = \frac{27 {f}^{12} {h}^{3} }{64 {h}^{27} } \\ \\ \\ = \frac{27 {f}^{12} }{64 {h}^{24} }$

I hope I helped you^_^

5 0

3 years ago

Which represents a proportional relationship between y and x

alekssr [168]

Answer:

A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.

Step-by-step explanation:

3 0

2 years ago