A unicycle wheel has a diameter of 16 inches. How many inches will the unicycle travel in 7 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.

Answer:.

Step-by-step explanation:.

Answer:

379.94

Step-by-step explanation:

area of a circle is, pi times radius powered by 2, with this in mind-

r= 11, pi=3.14

3.14(11)^2

3.14(121)

=379.94

A) The distance between -5 and 0 is a Positive 5 because it takes 5 positive spots to go from -5 to 0.

B) The Absolute Value of -5 is 5. (Absolute Value means the distance from that number from zero) Is takes 5 spots to get to -5.

I hope this helps, and Happy Holidays! :)

Answer:

1) 5 units

2) 5

Step-by-step explanation:

absolute value is basiclly the opposite for example 4 would be -4 and -7 would be 7

also if it has lines like this: |2| it stays as it is so |3| is still 3 and |-5| is still 5

hope this helps :)

Answer: 9.05-0.75=$8.3

Step-by-step explanation:

Let the original fraction be

[tex]\dfrac{n-1}{n}[/tex]

Now let's increase both numerator and denominator by 2:

[tex]\dfrac{n+1}{n+2}[/tex]

This produces a 1/12 increase:

[tex]\dfrac{n+1}{n+2}-\dfrac{n-1}{n}=\dfrac{1}{12}[/tex]

The left hand side can be rearranged as

[tex]\dfrac{2}{n^2+2n}=\dfrac{1}{12}[/tex]

Invert both sides:

[tex]\dfrac{n^2+2n}{2}=12 \iff n^2+2n=24[/tex]

Solve the quadratic equation:

[tex]n^2+2n-24=0 \iff n=-6 \lor n=4[/tex]

So, in the first case, the original fraction is

[tex]\dfrac{n-1}{n}=\dfrac{-6-1}{-6}=\dfrac{7}{6}[/tex]

In the second case, we have

[tex]\dfrac{n-1}{n}=\dfrac{4-1}{4}=\dfrac{3}{4}[/tex]

Answer:

(-8;11] is the range of the graph

Happy Holidays! =)

[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]

4x² + 6x = 10

Move 10 to the other side so we can factor the trinomial:

4x² + 6x - 10 = 0

Factor the GCF, or 2 out of the equation:

2(2x² + 3x - 5) = 0

Factor the terms inside of the parenthesis:

2(2x + 5)(x - 1) = 0

Disregard the coefficient of 2 and set each factor equal to 0:

2x + 5 = 0

2x = -5

x = -5/2

x - 1 = 0

x = 1

The values of x are -5/2 and 1.

Answer:

c

Step-by-step explanation:

Since the perimeters are equal, then equate the perimeter expressions, that is

4(x - 2) = 6([tex]\frac{1}{2}[/tex] x + 5) ← distribute parenthesis on both sides

4x - 8 = 3x + 30 ( subtract 3x from both sides )

x - 8 = 30 ( add 8 to both sides )

x = 38

Substitute x = 38 into either of the 2 perimeter expressions

perimeter = 4(x - 2) = 4(38 - 2) = 4 × 36 = 144 in → c

Answer:

3355

Step-by-step explanation:

55 x 61 = 3355

Answer:

x = - 2

Step-by-step explanation:

Given

6 - x = 4(5 + x) - 4 ← distribute and simplify right side

6 - x = 20 + 4x - 4

6 - x = 16 + 4x ( subtract 4x from both sides )

6 - 5x = 16 ( subtract 6 from both sides )

- 5x = 10 ( divide both sides by - 5 )

x = - 2

Answer:

5 seats

Step-by-step explanation:

if I'm getting the right idea, the seats are NOT enough

since the number of arrangement of 10 people in a row is

10! = 3628800 which is a lot larger than 30240.

---------------------------------------------------------------------------------------

Let number of seats be

10PX = 30240

[tex]\frac{10!}{(10-X)!}[/tex] = 30240

(10-X)! = [tex]\frac{10!}{30240}[/tex]

(10-X)! = 120

(10-X)! = 5!

10-X = 5

X = 5

Answer: Ronald has a daily ritual that includes the following activities : exercising on the treadmill for an hour, reading the morning papers, and getting coffee from a café on his way to work.

Step-by-step explanation:

A colon is used to introduce a list of items in a sentence.

Answer: 6

Step-by-step explanation:

Let the number be x

If I increase twice my number by 5, the result is the same as if I triple my number and subtract 1. This can be formed into an equation as:

(2 × x) + 5 = (3 × x) - 1

2x + 5 = 3x - 1

5 + 1 = 3x - 2x

x = 6

The number you are thinking of is 6

Answer:

100°

Step-by-step explanation:

Average temperature change per hour = - 4.17° per hour

Total temperature change after 24 hours

Average temperature change per hour * 24

(-4.17° * 24) = 100.08

Temperature change = 100° (nearest degree)

Based on the information given regarding the inheritance pattern, the chance that the child would also be affected or would be a carrier is 50% respectively.

It should be noted that pedigree analysis simply means the study of heredity and inheritance of genes.

It is used by doctors to analyze the inheritance pattern, and observe any genetic disorder. In this case, the male is affected by the chromosome XY. Similarly, the male married the female, having X-linked recessive disorder.

In this case, the chance that the child would also be affected is 50%, and the chance that the child would be a carrier is 50%.

Learn more about inheritance on:

https://brainly.com/question/9365566

Answer:

% 50

% 50

False

Step-by-step explanation:

Answer:

m=-4/3

Step-by-step explanation:

0-8/5-(-1)

-8/5+1

-8/6

-4/3

Given:

The relation is {(-5, -3), (-1, 3), (4,3), (8, 8)}.

To find:

Whether the given relation is a function or not.

Solution:

A relation is called a function, if there exist a unique output for each input.

We have, a relation given as

{(-5, -3), (-1, 3), (4,3), (8, 8)}

Here, all x-values are different. So, each x-value has a unique y-value.

Thus, there exist a unique output for each input.

Therefore, the given relation is a function.

Answer:

1005 girls

Step-by-step explanation:

From the question we are given ratio of boys to girls as 7 : 29

Total ratio will be 7 + 29 = 36

Total students in the school = 1248 students

Number of girls in the school = 29/36 * 1248

Number of girls in the school = 29 * 35

Number of girls in the school  = 1005

Hence the approximate total number of girls in the school is 1005 girls

Note that the ratio was assumed since we are not given in question

Step-by-step explanation:

3.38 × [tex]10^{6}[/tex] is the scientific notation of 3,380,000

Answer:

3.38 x [tex]10^{2}[/tex]

Step-by-step explanation:

Answer:

b. Use sigma notation to represent the number of seats in the theater.

Answer:

2 i think

Step-by-step explanation:

Answer:

The weight of the blue marlin = b = 252 pounds

The weight of the amber jack = a = 12 pounds

Step-by-step explanation:

Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack.

Let

The weight of the blue marlin = b

The weight of the amber jack = a

The weight of the blue marlin weigh 12 times as that of the amberjack.

b= 12a

The combined weight of both fish was 273 pounds.

= a + b = 273 pounds

b = 12a

Hence

a + 12a = 273 pounds

13a = 273 pounds

a = 273 pounds/13

a = 21 pounds

b = 12a

b = 12 × 21 pounds

= 252 pounds

Hence:

The weight of the blue marlin = b = 252 pounds

The weight of the amber jack = a = 12 pounds

Answer:

x=15

Step-by-step explanation:

Given:

A line is perpendicular to the given line and having negative slope.

To find:

The slope of the line.

Solution:

We know that, product of slopes of two perpendicular lines is -1.

[tex]m_1\cdot m_2=-1[/tex]

[tex]m_1=-\dfrac{1}{m_2}[/tex]

It means, one slope is opposite and reciprocal of other.

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the given graph it is clear that, blue line passes through (0,3) and (2,4). So, slope of blue line is

[tex]m_B=\dfrac{4-3}{2-0}[/tex]

[tex]m_B=\dfrac{1}{2}[/tex]

The slope of blue line is [tex]\dfrac{1}{2}[/tex]. So, slope of the line which is perpendicular to the blue line is -2, which is negative.

From the given graph it is clear that, red line passes through (0,4) and (4,3). So, slope of red line is

[tex]m_R=\dfrac{3-4}{4-0}[/tex]

[tex]m_R=\dfrac{-1}{4}[/tex]

The slope of blue line is [tex]-\dfrac{1}{4}[/tex]. So, slope of the line which is perpendicular to the blue line is 4, which is positive.

Therefore, the slope of the line which is perpendicular to the given line and having negative slope, is -2.

Answer: 54 green beads

Step-by-step explanation:

From the question, we are informed that Lucia is making a 21.6 centimeter beaded string to hang in the window and that she decides to put a green bead every 0.4 centimeters and a purple bead every 0.6 centimeters.

The number of green beads that she will need will be gotten by dividing the total length of bead she wants to make by 0.4. This will be:

= 21.6 / 0.4

= 54 green beads

Step-by-step explanation:

Let x be the number of Green apples bought.

Then 4x is the number of Red apples bought.

We have x + 4x = 50, so x = 10.

Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.