Carolyn was training for cross-country season on an indoor track. During her workout, she ran 24 laps around a track that measured 110 meters. What was the total distance Carolyn ran in kilometers?

Answer:

Exact form:

25/9

Decimal form:

2.(7)

Mixed fraction form:

2 7/9

Step-by-step explanation:

Hope you found this helpful

Answer:

(-5/3)² = 25/9

Step-by-step explanation:

(a/b)ⁿ = aⁿ / bⁿ

(-5/3)² = -5² / 3² = 25 / 9

Answer:

The discount allowed per bag is kshs 4

while the discount allowed on all the 300 bags is kshs 1,200

Step-by-step explanation:

Here, we are interested in calculating the discount allowed on the sales of the bag of maize.

From the question, we are told that the sales man allowed a discount of 0.2% on the maize sold.

Now, to find the amount of this, we proceed as follows;

What we simply need to do is to find 0.2% of the each of the price of the maize bags, and then we can proceed to find the total discount given on all maize bags sold.

The discount on each bag of maize would be;

0.2% of kshs 2000

That would be;

0.2/100 * 2,000 = 400/100 = kshs 4

Since there are 300 bags, the total amount of discount allowed is 300 * kshs 4 = kshs 1,200

Answer: 7:55

Step-by-step explanation: in total the journey is 105mins so if she has to reach by 9:30. Then she has to leave her house 105mins before 9:30

Answer:

m= 0 /(−3np+v2 )

Step-by-step explanation:

A cube has sides that are all equal lengths .

Volume of a cube is S^3, where S is the length of the side.

Volume = 3^3 = 3 x 3 x 3 = 27 cubic inches.

The volume of box will be 27 inch³.

A square notepaper is stored in a cube shape box with an inside edge length of 3 inches.

We have to calculate the volume of the box.

What is the volume of a cube ?

The volume of a cube is the multiplication of the edge length (a) for three times i.e., a × a × a = a³ .

As per the question ,

Inside edge length of cube = 3 inches

So ,

the volume of box will be ;

= a × a × a

= 3 × 3 × 3

= 27 inch³

Thus , the volume of box will be 27 inch³.

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Answer:

A. Sine A = 4/5

B. Cos A = 3/5

C. Tan A = 4/3

D. Tan B = 3/4

Step-by-step explanation:

We'll begin by calculating the value of b in the attached photo.

This can be obtained as follow:

Cos B = 4/5

Cos B = Adjacent /Hypothenus

Adjacent = 4

Hypothenus = 5

Using pythagoras theory, the value of b can be obtained as follow:

b² = 5² – 4²

b² = 25 – 16

b² = 9

Take the square root of both side.

b = √9

b = 3

A. Determination of Sine A

Sine A =?

Opposite = 4

Hypothenus = 5

Sine A = Opposite /Hypothenus

Sine A = 4/5

B. Determination of Cos A

Cos A =?

Adjacent = 3

Hypothenus = 5

Cos A = Adjacent /Hypothenus

Cos A = 3/5

C. Determination of Tan A.

Tan A =?

Opposite = 4

Adjacent = 3

Tan A = Opposite /Adjacent

Tan A = 4/3

D. Determination of Tan B

Tan B =?

Opposite = 3

Adjacent = 4

Tan B = Opposite /Adjacent

Tan B = 3/4

Answer:

The population of Namibia in the years 1940, 1997, and 2005 was 371.2 , 1671.64 and 2064.74 respectively.

Step-by-step explanation:

Refer the attached figure

We will use equation calculator to find the equation of given plot

[tex]y = 483.36 \times e^0.0264x[/tex]

We are supposed to find the population of Namibia in the years 1940, 1997, and 2005.

x values are years

y values are population

For 1940, [tex]x = -10, y = y = 483.36 \times e^{0.0264(-10)} = 371.2[/tex]

For 1997, [tex]x = 47, y = y = 483.36 \times e^{0.0264 \times 47} = 1671.64[/tex]

For 2005,[tex]x = 55, y = y = 483.36 \times e^{0.0264 \times 55} = 2064.74[/tex]

Hence The population of Namibia in the years 1940, 1997, and 2005 was 371.2 , 1671.64 and 2064.74 respectively.

Answer:

9 for part b 40 for part a

Step-by-step explanation:

if u do 5 times the numbers it gives u the product so 45 is 9 times 5 and 40 os 8 times 5

Answer:

Part A: 9 orange beads

Part B: 40 blue beads

Step-by-step explanation:

Notice that you need to have the proportion of blue beads always 5 times larger than the number of orange beads. therefore you need to complete the table following such pattern:

Part A:  for 45 blue beads, she needs to use : 45/5 = 9 orange beads

Part B: for 8 orange beads, she needs to use 8 * 5 = 40 blue beads

Answer: unbiased; simple random sampling

Step-by-step explanation:

From the question, we are informed that John wanted to know about the popularity of a particular movie and that he surveyed 20% of the people in 5 different theaters.

This is an unbiased sample. This is because everybody at the theaters have an equal chance of being chosen by John.

Also, it's a simple random sampling. This is because a subset of the entire population is randomly selected.

Answer:

fifth option

Step-by-step explanation:

Given

- 2(x - 5) ≤ 6x + 18 ← distribute left side

- 2x + 10 ≤ 6x + 18 ( subtract 6x from both sides )

- 8x + 10 ≤ 18 ( subtract 10 from both sides )

- 8x ≤ 8

Divide both sides by - 8, reversing the sign as a result of dividing by a negative quantity, thus

x ≥ - 1

Answer:

x = log 10/log 3

Step-by-step explanation:

3^x - 4 = 6

3^x = 10

We take log base 3 of both sides since log_3 3^x is simply x.

log_3 3^x = log_3 10

x = log_3 10

We have an answer for x, but it is a log base 3. We want log base 10.

Now we use the change of base formula.

log_b y = log y/log b

x = log 10/log 3

Answer:

Cada uno de ellos gana:

S/. 24

S/. 36

Step-by-step explanation:

Planteamiento:

a + b = 60

a = 12 + b

Desarrollo:

sustituyendo el valor de la segunda ecuación del planteamiento en la primer ecuación del planteamiento:

(12+b) + b = 60

2b + 12 = 60

2b = 60 - 12

2b = 48

b = 48/2

b = 24

de la segunda ecuación del planteamiento:

a = 12 + b

a = 12 + 24

a = 36

Check:

24 + 36 = 60

Answer:

9

Step-by-step explanation:

x = c - b/a

x = 10 - 2/2

x = 10 - 1

x = 9

Answer:

x = c - b (divided by) a

Step-by-step explanation:

x = 10 - 2over2

x = 10 - 1

x = 9

try 18/2 since that part is a fraction.

Answer:

 5i is an imaginary number

In these questions it contains two parts

real and imaginary parts . thus answer to these questions is 5i

Explanation

Complex Number is the number which contains both real and imaginary numbers i is the specified elements.  5i is an imaginary parts number and 4 is real part number.

Thus we conclude that above statement for the question is correct.

To know more about the complex number

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Do you mean 32/192 or 192/32 because 32/192= 0.1666 where 192/32= 6

Answer:

1/6.

Step-by-step explanation:

32/192       Divide top and bottom by 8:

= 4 / 24       Now by 4:

= 1/6.

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

Answer:

9

Step-by-step explanation:

3/5 * 15

Rewriting as

3 * 15/5

3 * 3

9

The word "of" tells us we need to multiply.

So 3/5 of 15 means the same thing as (3/5) · (15).

Think of the 15 as 15/1 so when multiplying,

we can cross-cancel the 5 and 15 to 1 and 3.

So we have (3/1) · (3/1) which is 9/1 or just 9.

Answer:

Equations:

a + b = 19

a = b + 2

a = Money that spent Laura

b = Money that spent Laureen

then:

(b+2) + b = 19

2b + 2 = 19

2b = 19-2

2b = 17

b = 17/2

b = 8.5

a = b + 2

a = 8.5 + 2

a = 10.5

Check:

10.5 + 8.5 = 19

Answer:

6:30 pm

Step-by-step explanation:

Given the following :

Four machines give out a signal at intervals of 24 seconds, 27 seconds, 30 seconds and 50 seconds respectively.

Time when all four machines gave out signal simultaneously = 5:00 pm

To find the time all four will give out the next simultaneous signal :

Take the lowest common factor of the four intervals :

L. C. M of 24, 27, 30, 50

Using the Lowest Common Multiple calculator :

L. C. M. = 5400

5400 seconds.

Adding 5400 seconds to the last time a simultaneous signal was produced :

5:00 pm + 5400 seconds

5400 seconds = (5400/60) = 90 minutes = 1hour 30 minutes

5:00 pm + (1 hour 30 minutes)

= 6:30 pm

Answer:

height = 4cm

Step-by-step explanation:

volume = п r² h

п = 3.14   (aprox.)

r = radius

h = height

volume = 616cm³

then:

616 = 3.14 * 7² * h

616 = 3.14*49*h

616 = 153,86 * h

h = 616 / 153.86

h = 4

height = 4cm

Answer:

Your answer is

Step-by-step explanation:

Hope this helps....

Have a nice day!!!!

Answer:

Simplifying

9x + -2 + -13x + 16 = 0

Reorder the terms:

-2 + 16 + 9x + -13x = 0

Combine like terms: -2 + 16 = 14

14 + 9x + -13x = 0

Combine like terms: 9x + -13x = -4x

14 + -4x = 0

Solving

14 + -4x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.

14 + -14 + -4x = 0 + -14

Combine like terms: 14 + -14 = 0

0 + -4x = 0 + -14

-4x = 0 + -14

Combine like terms: 0 + -14 = -14

-4x = -14

Divide each side by '-4'.

x = 3.5

Simplifying

x = 3.5

Step-by-step explanation:

Answer:

-4x+14

Step-by-step explanation:

Collect "Like Terms" (9x and -13) = -4x

-4x - 2 + 16= -4x + 14

Answer:

option d

sorry it took so long.

Answer:

x=4, x=-10

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

As per Pythagorean theorem:

Solving we get positive root of:

Answer:

  all reals

Step-by-step explanation:

Simplified, you have ...

  20 -3n = 20 -3n

The equation is a tautology, true for all values of n.

The solution set is "all reals."

Answer:

option 2 with radius of 1.4 in, and height of 1.2 in.

Step-by-step explanation:

If two cylinders are similar, the ratio of one cylinder's radius to its height must be the same as that of the other.

To know which cylinder is similar to the given cylinder with radius 2.8 in and height of 2.4 in, find the ratio, and compare with the ratio of the options provided. The option with the same ratio, is the cylinder that is similar.

This,

The given cylinder => radius : height = [tex] \frac{2.8}{2.4} = \frac{0.7}{0.6} = \frac{7}{6} [/tex]

First option:

Radius : height = [tex] \frac{1.8}{1.4} = \frac{0.9}{0.7} = \frac{9}{7} [/tex]

Second option:

Radius : height = [tex] \frac{1.4}{1.2} = \frac{0.7}{0.6} = \frac{7}{6} [/tex]

Third option:

Radius : height = [tex]\frac{5.6}{4.2} = \frac{0.8}{0.6} = \frac{0.4}{0.3} = \frac{4}{3}[/tex]

Fourth option:

Radius : height = [tex] \frac{2.4}{2.8} = \frac{0.6}{0.7} = \frac{6}{7} [/tex]

The correct option with the cylinder that is similar with the given cylinder is option 2 with radius of 1.4 in, and height of 1.2 in.

Answer:

three terms

Step-by-step explanation:

3x + 2y + 8z

Since we cannot simplify

There are three terms

3x, 2y, 8z

Answer:

  See below

Step-by-step explanation:

Each point on the triangle moves to half its previous distance from P.

Answer:

-2

Step-by-step explanation:

5+14a=9a-5

+5      +5

10+14a=9a

-9a      -9a

10+5a=0

-5a   -5a

10= -5a

÷5   ÷5

2= -a

*-1  *-1

-2=a

Answer:

The half-way coordinate between the end points.

Step-by-step explanation:

The half-way coordinate between the end points.

Answer:

x = -2

Step-by-step explanation:

To solve for x always get x on one side

First add 4 on each side, 4 + 7x - 4 = -18 + 4

Next subtract 18 from 4, making it -14    7x = -14

Now divide 7 on each side, x = -2