A farmer had some chickens and some cows. She counted 40 total heads and 126 total legs. How many cows did she have?

Answer:

0.0001292

Step-by-step explanation:

a raised to the power -m is 1/a raised to power m

Answers:

=====================================================

Explanation for part (a)

Consider four slots labeled A,B,C,D.

We have

We started at 18 and counted down until we filled the four slots. The countdown is because we cannot repeat a color. Multiply out those values to get the answer: 18*17*16*15 = 73440

You can use the nPr permutation formula as an alternative method

[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]

in this case n = 18 and r = 4. The exclamation marks indicate factorial.

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Explanation for part (b)

Let's say we had color labels A,B,C,... all the way up to R which is the 18th letter in the English alphabet. From those 18 letters, we can only pick four. Let's say we pick D,E,F,G.

Focusing solely on the set {D,E,F,G}, we only have one set and the order doesn't matter. So {D,E,F,G} is the same as {D,E,G,F}.

There are 4*3*2*1 = 24 ways to arrange those four items meaning that we'll need to divide the result of part (a) by 24 to get the result of part (b)

73440/24 = 3060

You could use the nCr combination formula to get the same result

[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]

where n = 18 and r = 4 are the same from last time.

The connection between nPr and nCr is this

[tex]_nC_r = \frac{_nP_r}{r!}[/tex]

which can be rearranged into

[tex]_nP_r = r!*\left( _nC_r \right)[/tex]

these formulas are handy to help us go back and forth between nCr or nPr.

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

Combination is a way of selecting items from a collection where the order of arrangement is not relevant.

It is given by:

[tex]^nC_r[/tex] = n! / r! (n-r)!

Permutation is a way of selecting items from a collection where the order of the arrangement is relevant.

It is given as:

[tex]^nP_r[/tex] = n! / (n-r)1

We have,

Number of distinct colors = 18

Number of colors to be chosen = 4

The number of ways the four colors be chosen when the order is not relevant:

= [tex]^{18}C_4[/tex]

= 18! / 4! 14!

= 18 x 17 x 16 x 15 / 4 x 3 x 2

= 3060

The number of ways the four colors be chosen when the order is relevant:

= [tex]^{18}P_4[/tex]

= 18! / 14!

= 18 x 17 x 16 x 15
= 73440

Thus,

If the order of the choices is relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 73440.

If the order of the choices is not relevant, the number of ways of selecting 4 colors out of 18 distinct colors is 3060.

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Answer:

Step-by-step explanation:

let it's breadth be x

area of rectabgle=l*b

259=18.5*b

259/18.5=b

14=b

perimeter of rectangle=2(l+b)

=2(18.5+14)

=2*32.5

=65 cm

Answer:

Breadth = 14 cm

Perimeter = 65 cm

Step-by-step explanation:

        Area = [tex]259cm^{2}[/tex] = l * b

       Therefore, breadth = area / length

        Breath = 259 / 185 = 1.4 * 10 = 14 cm

        Perimeter = 2 (18.5 + 14)

        Perimeter = 2 (32.5)

        Therefore, perimeter = 65 cm

I hope this helps :)

Answer:

1/2  1/100

Step-by-step explanation:

One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

A number that expresses parts of a whole object or a set of objects is known as a fraction.

Given

One half of one tenth

Rewriting in mathematical form

= [tex]\frac{1}{2} (\frac{1}{10} )[/tex]

= [tex]\frac{1}{20}[/tex]

Hence, One half of one tenth is  [tex]\frac{1}{20}[/tex] fraction.

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Answer:

456

Step-by-step explanation:

It is shared by 3 people so it will be multiplied by 3.

Answer:

5472

Step-by-step explanation:

If the mean between three people is 152 kilometers per month, the distance travelled in a month is 152 * 3 = 456.

Then we multiply 456 by 12 to get the number of km travelled in a year.

456 * 12 = 5472

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's simplify step-by-step.

(k+1)(x2)−8kx+3k+5

Distribute:

=(k)(x2)+(1)(x2)+−8kx+3k+5

=kx2+x2+−8kx+3k+5

Answer:

=kx2−8kx+x2+3k+5

Answer:

Step-by-step explanation:

Here we are multiplying together two complex numbers which happen to be identical:  both are 5 - 7i).

This is also "the square of 5 - 7i:  (5 - 7I)^2

In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i

Answer: D. 30

Step-by-step explanation:

Edge 100%

Answer:

the answer is d on edge

Step-by-step explanation:

Answer:

Area of parallelogram = 63 square units

Step-by-step explanation:

In the given parallelogram:

Height of parallelogram = 9 units

Base of parallelogram = 7 units

Find:

Area of parallelogram

Computation:

Using area of parallelogram;

Area of parallelogram = Height of parallelogram x Base of parallelogram

Area of parallelogram = 9 x 7

Area of parallelogram = 63 square units

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Radius

Step-by-step explanation:

CB = AB/2

Since AB is the diameter, CB is a radius

Answer:

-5u^3 - 5u^2  + 3.

Step-by-step explanation:

(u^3 + 3u^2 + 3) + (-6u^3 - 8u^2)

= u^3 + 3u^2 + 3 - 6u^3 - 8u^2

= u^3  - 6u^3 + 3u^2 - 8u^2 + 3

= -5u^3 - 5u^2  + 3.

Answer:

1 : 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part A= 59.11

Part B: i think is B

I hope this helps :))

Answer:

Step-by-step explanation:

Part A : 59.11

Part B: the answer is B. You keep the same amount of decimal places in the problem in your product. we had 2 so we have 2 decimal places in 5911 ---> 591.1 --->59.11

Answer:

The Richter scale was abandoned because it worked best for earthquakes in southern California, and only those hitting within about 370 miles (600 kilometers) of seismometers. These days, scientists detect temblors on the other side of the Earth. In addition, the scale was calculated from one type of earthquake wave, a kind that doesn't help much when measuring truly massive quakes, like Japan's magnitude-9 in 2011. So seismologists created a new scale, called the moment magnitude scale. The moment magnitude scale captures all the different seismic waves from an earthquake, giving a better idea of the shaking and possible damage.

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

Answer:

80.56

Step-by-step explanation:

To find the rectangle area you just multiply its length by its width:

17 * 4 = 68

You have to sum two semicircles on top of that. Since it is 2 semicircles you can just calculate one circle. Using the circle area formula:  [tex]\pi*r^2[/tex]

Since the radius (r) is 2 and [tex]\pi[/tex] is 3.14, you have the following equation:

A = 3.14 * 2² ==>      A = 3.14 * 4   ==>   A = 12.56     (A is Area)

Sum the rectangle's area with the circle's area:

12.56 + 68 = 80.56

And vuoila! there's your answer.

Answer:

B) the interquartile range of the data set is 2

Step-by-step explanation:

To find the interquartile range you have to subtract Q3-Q1. Which would be 3-1 and the answer is 2.

Hope this helped :)

Answer:

Car C

Step-by-step explanation:

Miles per gallon = miles traveled / gallon of gas used

Miles per gallon :

Car A = 19 / 1 = 19 miles per gallon

Car B = 39 / 3 = 13 miles per gallon

Car C = 42 / 2 = 21 miles per gallon

Car D = 48 / 3 = 16 miles per gallon

Car with most miles per gallon is car C

Answer:

20

Step-by-step explanation:

25*4/5=5*4=20

Answer:

20

Step-by-step explanation:

25 x 4/5=100/5=20

Answer:

$1000

Step-by-step explanation:

$200 was saved on a new laptop

This was 20% of the original price of the laptop

Therefote the original cost of the laptop can be calculated as follows

= 20/100x = 200

= 0.2x= 200

Divide both sides by the coefficient of x which is 0.2

x= 200/0.2

= 1000

Hence the original cost of the laptop is $1000

Answer:

2 hours

Step-by-step explanation:

Let t represent the anount of time traveled by Chelsea

Katie

d= 18t

Chelsea

d= 6(4+t)

18t= 6(4+t)

18t= 24+6t

18t-6t= 24

12t= 24

Divide bith isdes by the coefficient of t which is 12

t= 24/12

t= 2

Hence Katie will have to travel for 2 hours before catching up with Chelsea,

Answer:

True

Step-by-step explanation:

The largest animal phylum is also included within invertebrates

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Answer:

Solution given:

Area of parking space [parallelogram]=290ft²

base*height=290

base=290/29

base:10ft

Area of rectangular dimensions=11*7.4=81.4ft²

yes

The truck can not fit in the space because the length and breadth is less than that of the parallelogram parking area.

Area of truck bid 81.4ft².

Answer:

Step-by-step explanation:

The coordinates for point A is (8,120)

Answer:

2) <TWN and <SWM

Step-by-step explanation:

2) <TWN and <SWM

Answer:

(2)

Step-by-step explanation:

This is because they are both vertical to one another!

Hope this helps!