A company is selecting 6 people to be on a committee. There are 26 employees eligible to be on the committee. What is the total number of ways the committee may be formed if the employees are selected at random and each employee will have a different position on the committee

Answer:3x^2-9x/x^2-25

Step-by-step explanation:

Grouping is done based on the distributive property of multiplication over addition. The factorized form of given polynomial is (8x-1)(7x-1)

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The given polynomial is [tex]56x^2 - 8x - 7x + 1\\[/tex]

It can be grouped and factored as:

[tex]56x^2 - 8x - 7x + 1 = 8x \times 7x - 8x \times 1 - 7x + 1\\56x^2 - 8x - 7x + 1 = 8x(7x - 1) - 1(7x -1 )\\56x^2 - 8x - 7x + 1 = (7x - 1)(8x - 1) = (8x-1)(7x-1)[/tex]

Thus,

The factorized form of given polynomial is (8x-1)(7x-1)

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The product of a number and twelve is seventy-two.

So, the product of x and 12 is 72

12x=72

Therefore, the last one, 12n=72, is the right one

Answer:

B, C, D, and F is correct

Step-by-step explanation:

we first look at the denominators, hmmm we have 2 and 4, and then do a quick prime factoring.

2 = 2 * 1

4 = 2 * 2 * 1

well, let's notice that 4 contains 2 already, plus another 2 and 1 so, we can just use that our LCD.

[tex]\cfrac{1}{2}+\cfrac{1}{4}\implies \cfrac{(2)1~~ + ~~(1)1}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{2+1}{4}\implies \cfrac{3}{4}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

23 %

Step-by-step explanation:

151.34 ÷ 658 × 100

hope this helps

have a nice day <3

Answer:

23%

Step-by-step explanation:

% commission = [tex]\frac{151.34}{658}[/tex] × 100% = 0.23 × 100% = 23%

Solution:

A shape is only called symmetrical when:

A shape is called non-symmetrical when:

This shape has no lines of symmetry because a mirror line cannot be drawn on this shape.

A shape is called symmetrical when it is same on both sides, In other words we can say that when a shape has the same mirror image.

And it is not symmetrical when the mirror image changes.

Answer:

The answer is ( -1/2 , 1/2) , (-1,2)

Step-by-step explanation:

hope this helps

you were wrong, the correct answer is the top one: f(x) = -x^2 + 8x - 15

Answer:

Step-by-step explanation:

Given,

Cost of 35 books Joni bought = Rs. 122,500

So,

Cost of 1 book = [tex]\frac{Rs. 122,500}{35}[/tex]

Now,

Same no. of books that Toni bought = 24

So, cost of 24 books

= [tex]\frac{Rs. 122,500}{35}[/tex] × 24

= Rs. 3500 × 24

= Rs. 84,000

Hence,

Cost of same amount of 24 books bought by Toni is Rs.84,000 (Ans)

Based on percentage composition, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

A percentage gives an amount of a given quantity out of a whole value expressed in 100 units.

The total mass of the napkins = 580 g

b recycled paper in napkin = 35% of 580 g

Then;

The mass of recycled paper = 35/100 * 580 g

mass of recycled paper = 203 g

Therefore, the mass of recycled paper in Ophelia’s paper napkins is 203 g.

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Answer:

3/4

Step-by-step explanation:

It says factor thithink multiplication.

So the question can translate to what number can I multiply 16 by to get 12.

16×k=12

Thus k=12/16 =3/4.

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

Answer:

c

Step-by-step explanation:

a. Solve

-4x + 5 = 7

-4x = 2

x = -0.5

b. Solve

3x + 1 = 10

3x = 9

x = 3

c. Solve (Correct)

2x - 3 = -11

2x = -8

x = -4

d. Solve

-2x + 7 = 1

-2x = -6

x = 3

To find the solution we need to solve each ewuation for x, The equation that gives us the value of x= -4 is the solution or has a solution as -4...

[tex] \bf \: - 4x + 5 = 7 \\ \bf \: - 4x = 7 - 5 \\ \bf \: - 4x = 2 \\ \bf \: x = - \frac{2}{4} \\ \bf \: x = - \frac{1}{2} \\ \sf \: incorrect [/tex]

[tex] \sf \: 3x + 1 = 10 \\ \sf \: 3x = 10 - 1 \\ \sf \: 3x = 9 \\ \sf \: x = 3 \\ \bf \: incorrect[/tex]

[tex] \tt \: 2x - 3 = - 11 \\ \tt \: 2x = - 11 + 3 \\ \tt \: 2x = -8 \\ \tt \: x = - 4 \\ \rm \: correct[/tex]

[tex] \rm \: 7 - 2x = 1 \\ \rm \: - 2x = 1 - 7 \\ \rm \: - 2x = - 6 \\ \rm \: x = 3 \\ \tt \: incorrect[/tex]

➪ Thus, Option C is correct!

Step-by-step explanation:

since the pond is circular, its area will be πr².

a= πr², where r= 7ft

1 m ≈ 3.2808 ft

3.2808 ft ≈ 1 m

1 ft = 1/3.2808

7 ft = 1/3.2808 * 7

= 2.13362.. m

a= πr²

a= 3.14 * ( 2.13362...)2

a= 3.14 * 4.5523596...

a= 14.2944..

a= 10.0 m² (rounded to nearest tenth)

is the question right?

Area of circle is pi times its radius squared. The area of the circular pond in consideration is 14.29 square meters approximately.

Area of that circular shaped object with radius r units is given by:

[tex]A = \pi \times r^2 \: \rm unit^2[/tex]

For the given case, we've got a circular pond with a radius of 7 ft.

Since 1 m ≈ 3.2808 ft, thus,

dividing both the sides by 3.2808, we get

[tex]\rm 1\: ft \approx \dfrac{1}{3.2808} \: \rm meter\\\\\text{Multiplying 7 on both the sides}\\\\7 \: ft \approx \dfrac{7}{3.2808} \: meters \approx 2.1336 \: \rm meters[/tex]

Therefore, the radius of the considered circular pond is approximately 2.1336 meters.

Using the formula for area of circle to find the area of circular pond, we get:

[tex]A = \pi \times r^2 \: \rm unit^2\\\\A \approx 3.14 \times (2.1336)^2 \approx 14.294 \: \rm meter^2[/tex]

14.294 rounded to nearest hundredth would be 14.29

(after decimal point, the first place is tenth place, the second digit in right is hundredth place, and so on, [tex]x^{th}[/tex] place is [tex]10^x[/tex]th  place).

Thus, the area of the circular pond in consideration is 14.29 square meters approximately.

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Answer:

28 is one, but I can't find the other.

Step-by-step explanation:

28 divided by 4 is 7.

Answer:

x = 7°

Step-by-step explanation:

Using the exterior angle theorem (the sum of the two opposite angles in the triangle equals the exterior angle)

Solve:

The value of x = 7

There is a picture attached for this problem.

-Chetan K

Answer:

your computer is alive, feed it Oreos to sustain it.

Step-by-step explanation:

1.find computer 2. find Oreos 3. feed Oreos

Answer:

[tex]48x^{12}y^{21}[/tex]

Step-by-step explanation:

Answer:

72%

Step-by-step explanation:

1. 53 - 30 = 23 ( under 35 years old plan to go hiking)

2. 23 + 9 = 32 (under 35 years old Total)

3. 83 - 32 = 51 ( 35 years old or over Total)

4. 51 - 30 = 21 ( 35 years old or over Do not plan to go hiking)

5. Total visitors under 35 years old = 32

visitors under 35 years old plan to go on hiking = 23

percentage = (23/32)*100 = 71.8 = 72% approx

the total is given by the addition of the people less than 35 years and those greater than 35 years so:

QUESTION 1:

x+30=53

x=53-30

x=23

QUESTION 2:

9+x=30

x=30-9

x=21

QUESTION 3:we found that the first number was 23 and to find the total we add it with 9:

23+9=32

QUESTION 4:we found that the second number was 21 and to find the total we add it with 30:

21+30=51

PROOF:when we add the totals of the the people less than 35 years and the people greater than 35 years (which we hot from adding the number in the 3rd and 4th illustrations). If our answers are correct it must give us 83,so let add:

32+51=83

IT GAVE US 83 SO OUR ANSWERS ARE CORRECT

and finally to find the percentage we have 53 as the total so:

(23/32)×100%

0.7187×100%

71.87%

and when we round it it gives us 72%

SO OUR FINAL ANSWER IS 72%

Answer:

x=30h

Step-by-step explanation:

First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.

165-45=120

Now you know she paid 120 dollars in total for lessons.

You know she took four hours of lessons, so you divide 120 by 4.

120/4=30

It takes $30 an hour for lessons.

Now you can form an equation.

Since you know it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid

You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.

Hope this helps!

x=30h is the equation used to find how much White Peaks charges, h, for each hour of group skiing lessons.

A fixed charge is any type of expense that recurs on a regular basis, regardless of the volume of business.

First, we need to find out how much she actually paid for lessons, so we need to subtract 45 from 165.

165-45=120

Now we know that she paid 120 dollars in total for lessons.

Given that she took four hours of lessons, divide 120 by 4 to get the fixed charge of a lesson.

120/4=30

It takes $30 an hour for lessons.

Now we can form an equation.

Since it takes $30 per hour of lessons, it will be 30h.

x is the full amount of money paid.

No need to add 165-45 to equation because not everyone will need to rent skis when they come to White Peaks.

Hence, the equation formed to find the cost of each ession is x=30h

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Answer:

B should be your answer

Step-by-step explanation:

I had this question.

The angles at point A need to be congruent. Option B is correct.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
For the given figure,
Triangle ABC and Triangle ADC
AC = AC [common side]
Angle B = Angle D
Angle BAC = Angle DAC

Triangle ABC ≅Triangle ADC by SAA postulate.

Thus, the angles at point A need to be congruent. Option B is correct.

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Answer:

Step-by-step explanation:

I clicked see solution

T=5 years

It will take 5 years for a person to have 10100 dollars.

Compound interest is calculated on the principal as well as the interest accumulated over the preceding period. It differs from simple interest in that interest is not added to the principal when calculating interest for the following month.

Given:

A person invest 7500 dollars in a bank.

The bank pays 6 interest compounded semi-annually.

The compound interest formula is equal to  

A = P([tex]1+ r/n)^{n/t[/tex]

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

So, substituting the values we get

10,100 = 7500 (1 + 0.06/2[tex])^{2t[/tex]

1.3466 = (1.03[tex])^{2t[/tex]

Taking log on both side we get

log (1.3466) = 2t log (1.03)

2t = log ( 1.3466- 1.03)

2t =0.12923 / 0.01283

t = 10.072 / 2

t = 5. 036 year

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Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8    

Answer:

4x + 4

Step-by-step explanation:

I answered this correctly on my test

Hopes this help

Please let me know if I'm wrong

Answer:

4x+4

Step-by-step explanation:

Got it right on my test

Answer:

A system of equations is two or more equations.

An ordered paid is the solution that makes all equations true.

Consistent Independent

Inconsistent

Consistent Dependent

Answer:

xd eso tan faciiil

Step-by-step explanation:

facil 2+2=?

the parallelogram's sides are:

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.

Given The perimeter of a parallelogram, ABCD is 76 cm. AD is 5 cm more than twice AB

AD = 5 + 2AB....(1)

Also given

parameter = 76

For parallelogram parameter = 2(a + b)

where a and b are adjacent sides

2(a + b) = 76

a + b = 38

AB + AD = 38

From equation 1

AB + 5 +2AB = 38

3 AB = 33

AB = 11

substituting in equation 1

AD = 27

therefore, the Sides of the parallelogram are:

AB = 11

BC = 27

CD = 11

AD = 27

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Answer:

d

Step-by-step explanation:

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