Mrs. Holloway is teaching a 5th grade class. She is standing 42 feet in front of Alan. Gina is sitting 40 feet to Alan's right. How far apart is Mrs. Holloway and Gina?

Answer:

B

Step-by-step explanation:

P(7,r) = 5040

[tex]P(n,r)=\dfrac{n!}{(n - r)!}\\\\\\n = 7 \\\\\dfrac{7!}{(7 - r)!}=5040\\\\\\7! = (7-r)!*5040\\\\(7-r)!=\dfrac{5040}{7*6*5*4*3*2*1}\\\\\\(7-r)!=\dfrac{5040}{5040}\\\\\\(7-r)!=1\\\\[/tex]

(7 - r)! = 1!

7 -r = 1

7 = 1 + r

7 - 1 = r

r = 6

Answer:

  12.  B or C

  13.  C

  14.  A

  15.  A

Step-by-step explanation:

These problems involve various counting techniques. For combinations and permutations, there are formulas to aid in the counting. For other situations, you may need to list possibilities.

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  P(7, r) = 5040 . . . . . given

  P(7, r) = 7!/(7 -r)! = 5040

  5040/(7 -r)! = 5040 . . . . . evaluate 7!

  (7 -r)! = 1 . . . . . . . . . . . multiply by (7-r)!/5040

We know that both 0! and 1! = 1, so this has two solutions:

  7 -r = 0   ⇒   r = 7

  7 -r = 1   ⇒   r = 6

Both choices B and C are correct.

The attached calculator output confirms this result.

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The formula of choice C is correct:

  C(n, r) = n!/((n-r)!r!)

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The number of permutations of the 9 letters is reduced by the numbers of permutations of letters that are indistinguishable. That is, the 9 letters can be rearranged 9! ways, but the 4 Es are indistinguishable, so a factor of 4! must be removed from that result. Similarly, the two Ns and two Ss are indistinguishable, so additional factors of 2! must be removed. The number of arrangements is ...

  9!/(4!2!2!) . . . . matches choice A

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The 5 students can be arranged in 5 consecutive chairs in P(5, 5) = 5! = 120 ways. Those 5 consecutive chairs can start in chairs 1 through 6, so there are 6×120 = 720 ways the 5 students can sit together in 10 chairs.

Answer:The top one on the right.

Step-by-step explanation:

Answer:

ill edit my comment later but is there a graph? its not enough info

Step-by-step explanation:

not enough info i think

Answer:

250 pi

Step-by-step explanation:

formula for area of a circle: pi r squared

pi times 50 squared is 250 pi

Answer:

First choice

Step-by-step explanation:

It passes through (4, 0) and (0, -4)

Slope = (0 - (-4))/(4 - 0) = 4/4 = 1

so y - 0 = 1*(x - 4)

x - y = 4

8x - 8y = 32

First choice

Answer:

The option c is the descriptive adjective in a prepositional phrases.

Step-by-step explanation:  

So... where it says Y=4x-1, take the 4x and plot it on the y axis, next on the equation it says -1, plot -1 on the left ( X-axis)

I hope this helps

Answer:80 + 110

Step-by-step explanation:

Area = r^2 x pi

R = 1/2 diameter = 7.5 cm

Area = 7.5^2 x pi

Area = 56.25pi cm^2

Answer:

B...look at the x axis and what part of the acis the graph is on.

Answer:

I hope this helps you.

Step-by-step explanation:

Assets are the economic resources belonging to a business. Assets could be money in a cash register or bank account, or items such as property, fixtures and furniture, equipment, motor vehicles, and stock or goods for resale. An important asset in businesses which sell goods or services on credit is money owed to the enterprise by customers. This asset is known as debtors.

Capital is the value of the investment in the business by the owner(s). It is that part of the business that belongs to the owner; hence it is often described as the owner’s interest.

Liabilities are the debts owed by the firm. The main types of liabilities are creditors (money owed by the business to suppliers of goods and services), bank overdrafts and bank loans.

Answer:

5 37/45

Step-by-step explanation:

9 3/5 - 3 7/9

Find like terms

9 27/45 - 3 35/45

Subtract whole numbers

9 - 3 = 6

Subtract fractions

27/45 - 35/45 = -8/45

Subtract both of the numbers

6  - 8/45 = 5 37/45

Answer:

what are you looking for? are you looking for mean,median,and mode,

Step-by-step explanation:

If so here they are.

Mean=13.1

The mean is the average of the numbers in the data set.

Median=13

The median is the middle number from it being sorted least to greatest.

mode=10,18

The mode is the number that appears most in a data set or sometimes numbers like right now it's numbers,both 10 and 18 appear twice.

Range=15

The range is the highest number subtracted by the lowest number. so what is 19 - 4?it is 15.

minimum=4

The minimum in a data set is the lowest number.

Maximum=19

The maximum is the highest number in a data set.

IQR is 8 because the IQR is based on the lower quartile subtracted by the higher quartile so 18 - 10=8

Hope this ws what you was looking for.

Hope it helps have a great afternoon:)

Answer:

y=-3x-6

Step-by-step explanation:

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$300\\ r=rate\to 6.1\%\to \frac{6.1}{100}\dotfill &0.061\\ t=years\dotfill &13 \end{cases} \\\\\\ A=300e^{0.061\cdot 13}\implies A=300e^{0.793}\implies A\approx 700[/tex]

Step-by-step explanation:

she drove already 165 miles.

she will reach her destination, if she drives 4 more hours by going 65 miles/hour.

that would mean she would travel

65×4 = 260 miles

in these 4 hours.

so, the total trip is then 165 + 260 = 425 miles.

but what I find strange is that your teacher specified how long it took her to drive the first 165 miles.

as you can see above, it would make no difference for the calculation of the total trip length in miles.

this is either an attempt to confuse us, or the message is that Judy has to achieve an average of 65 miles/hour for the whole trip, and the problem definition was just imperfectly phrased.

if that is the case, then things look a bit different, as her average speed was only 165/3 = 55 miles/hour for the first 3 hours and 165 miles.

so,

(165 + x)/(3 + 4) hours = 65/hour

(165 + x)/7 hours = 65/hour

165 + x = 65 × 7 hours / hour = 65×7 = 455 miles

x = 455 - 165 = 290 miles

she would have to go

290 miles / 4 hours = 72.5 miles/hour

for these next 4 hours (and 290 miles) to reach an overall average speed of 65 miles/hour.

and the total trip would be then

165 + 290 = 455 miles

I am not sure, which your teacher wants here.

65 miles/hour average speed just for the next 4 hours, or to speed up that much for the next 4 hours that the overall trip average is then 65 miles/hour.

again, the phrasing of the problem definition suggests the first case, but the fact that the travel time for the first part of the trip is given could suggest the second case (as this information is not needed for the first case).

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

Answer:

The first one.

Step-by-step explanation:

A solid figure is a closed shape. If you do mental calculation, the first one is the only one that is solid, or closed.

#1

Yes it has 4 rectangles horizontal and two small rectangles sideby.

#2

It has two traingle faces

#3

#4.

All faces are square

Answer:

x = 10

Step-by-step explanation:

To solve, divide both sides by the base number then solve the exponents as an equation.

[tex]4^{x+2} = 4^{12}[/tex]

x = 10

Answer:

(-2)3 -60, s5, 22, -5.1, 36, 78, 97

Answer:

Step-by-step explanation:

Step-by-step explanation:

If this were to make a triangle, then 30.1 and 0.8 would be the shorter sides and 31 would be the longest side.

The sum of the lengths of the shorter sides is 30.1+0

8=30.9.

Since this is less than the length of the segment that would be the longest side, by the triangle inequality theorem, these side lengths would not make a triangle.

Answer:

-2

Step-by-step explanation:

We use the slope formula, [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], and substitute the points (0,8) and (2,4). This gives

[tex]\frac{4-8}{2-0}=\frac{-4}{2}=-2[/tex]

as the slope.

Hello.

Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:

[tex]\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}[/tex]

Where

m is the slope

y2 is the y-coordinate of the second point

y1 is the y-coordinate of the first point

x2 is the x-coordinate of the second point

x1 is the x-coordinate of the first point

In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0

Plug in the values:

[tex]\displaystyle\frac{4-8}{2-0}[/tex]

[tex]\displaystyle\frac{-4}{2} =-2[/tex]

Therefore, the slope is -2.

I hope it helps!

Have a nice day!

[tex]\boxed{imperturbability}[/tex]

Answer:

Step-by-step explanation:

Two rectangles: one is 4 x 3, one is (8 - 4) x (3 - 1)

areas are: 4 x 3 = 12 and 4 x 4 = 16

total area = 12 + 16 = 28 units²

Answer:

Square and hexagon

Step-by-step explanation:

Answer:

The answer is 2064

Answer:

Step-by-step explanation:

Given functions:

Solve in two steps

Find g(2)

Find f(1)

it's letter A

because

150×2=300

i hope this helps<3