Divide the following polynomials and then complete the quotient. Write your answer in order of decreasing powers of x.

Answer: 3rd answer choice

Step-by-step explanation:

Answer: 4th answer choice

Step-by-step explanation:

Answer:

Children = 200

Adults = 190

Step-by-step explanation:

Children = x

Adults = y

x + y = 390

x = 390 - y..............(1)

20x + 35y = 10650

Substituting

20(390-y) + 35y = 10650

y = 190

x = 390 - 190 = 200

Answer:

Step-by-step explanation:

Number of children = c

Number of adults = a

Total people = 390

a + c = 390 ------------------ (I)

Admission fee for 'c' children = 20 * c = 20c

Admission fee for 'a' adult = 35 * a = 35a

Total amount = $ 10650

35a + 20c = 10650 -------------(II)

Multiply equation (I) by (-20)

(I)*(-20)  -20a - 20c = - 7800

(II)           35a + 20c = 10650    { Now add and so 'c' will be eliminated}

              15a            = 2850

a = 2850/15

a =  190

Plug in a = 190 in equation (I)

190 + c = 390

          c =  390 - 190

c = 200

Number of children = 200

Number of adults = 190

Answer:

A) P(10 on three rolls) = 1/1728 = 0.0005787

B) P(10 in two of three rolls) = 11/1728 = 0.0063657

Step-by-step explanation:

Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.

To find a sum of 10, the cases are:

(4,6), (5,5) and (6,4).

So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:

P(10) = 3/36 = 1/12

A)

If we want the sum of 10 in each of the three rolls, the probability is:

P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787

B)

If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:

P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12

So we have:

P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)

P(10 in two of three rolls) = 11/1728 = 0.0063657

Answer: C

Step-by-step explanation:

Simplify(Subtract 2)

x > 0

Greater than is represented by a open circle with an arrow pointing right.  Because x is greater than 0, the point must be on 0.

Hope it helps <3

Answer:

C

Step-by-step explanation:

The inequality is x+2 > 2

x > 0 means that x is positive

so the graph must start from 0 and then should grow towrd the positive value

since we have x > 0 then 0 should be excluded

the graph that fits our solution is c where 0 is excluded

Answer:

k = 77/10

Step-by-step explanation:

The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.

probability of blue marbles = 2/7

probability of red marbles = 3/k

probability of green marbles = 5/2k

The sum of the individual probability is equals to 1. Therefore,

2/7 + 3/k + 5/2k = 1

collect like terms

(6 + 5)/2k = 1 - 2/7

11/2k =(7 - 2) /7

11/2k = 5/7

cross multiply

10k = 77

divide both sides by 10

k = 77/10

Answer:

6√2

Step-by-step explanation:

Gm = √a×b

= √4×18

= √72

= √36×2

= √6²×2

= 6√2

Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.

Step-by-step explanation:

Answer:

last option is correct

Step-by-step explanation:

Mathematically, we can write the volume of a cone as;

V = 1/3 * pi * r^2 * h

From the question, V is 8 pi cm^3 while h is 6cm

Thus, substituting these values into the equation, we have;

8pi = 1/3 * pi * r^2 * 6

The last option is the correct answer that tallies with the above

Answer:

8 pi = one-third pi (r squared) (6)

its d

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]

Answer: perpendicular

Answer:

perpendicular

Step-by-step explanation:

If two lines meet at a right angle they are said to be perpendicular to each other.

Two lines are perpendicular when they intersect at a right angle.

Answer:the answer A( kiloliters to liters)

Answer:

Millimeter to Meter

Step-by-step explanation:

Answer:

Graph having x ≤ 0

Step-by-step explanation:

f(x) = [tex]\sqrt{(-x)}[/tex]

Given function 'f' when reflected across the y--axis,

Translated form of the parent function will be,

g(x) = [tex]\sqrt{(-x)}[/tex]

Table for the input-output values for this function will be,

x             g(x)

-1               1

0               0

1              undefined

4             undefined

Table shows that the given function is undefined for x > 0

Domain of g(x) will be (-∞, 0],

Therefore, graph having values of x ≤ 0 will be the answer.

Answer:

I think its D on edge!

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

the answer is "C"

Step-by-step explanation:

i just took the test

Answer:

A

Step-by-step explanation:

T is the dependent variable

a dependent variable means it depends on something so if a number changes it will change the end result for T.

T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.

Answer:

They are both dependent variables.

Step-by-step explanation:

I did this on Khan Academy and it worked.

Answer:

1 hour   : 15 dollars

2 hours: 20 dollars

3 hours: 25 dollars

4 hours: 30 dollars

5 hours: 35 dollars

Step-by-step explanation:

Substitute the hour number in for h and solve. for example, if you were trying to find 5 hours, you would produce the equation c = 5(5) + 10. once you solve that you get c = 25 + 10 which is also c = 35.

Answer:

30 persons

Step-by-step explanation:

Let's create a proportion using the following setup:

persons/rice=persons/rice

We know that 12 persons can eat 8 kilograms of fried rice.

12 persons/ 8 kg of rice= persons/rice

We also know that x (unknown) persons can eat 20 kilograms of fried rice.

12 persons/ 8 kg of rice= x persons/ 20 kg of rice

12/8=x/20

x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.

20(12/8)=(x/20)20

20*12/8=x

20*1.5=x

30=x

30 persons can eat 20 kilograms of fried rice.

Answer:

30 people

Step-by-step explanation:

1) Set up a proportion, 8kg/12 = 20kg/x

2) Do cross multiplication to solve for x

3) x = 30 people

Answer:

8 cm

Step-by-step explanation:

When a right triangle is circumscribed in a circle, the diameter is the hypotenuse AC.

Therefore, the smallest diameter of the wrapper will be that of the circle whose diameter has endpoints of A and C.

From the diagram:

Therefore, Triangle AED is congruent to Triangle DFC and in fact AD=DC.

Given: AD =4 cm

Therefore, the smallest diameter

AC=AD+DC

=4+4

=8 cm

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

Answer:

c

Step-by-step explanation:

Answer:the answer is 90

Step-by-step explanation:

Answer:

t =5

g = 15

Step-by-step explanation:

t = tennis balls

g = golf balls

70 = 5t+3g

85 = 2t+5g

Multiply the first equation by -2

-2(70 = 5t+3g)

-140 = -10t -6g

Multiply the second equation by 5

5(85 = 2t+5g)

425 = 10t + 25g

Add these new equation together to eliminate t

-140 = -10t -6g

425 = 10t + 25g

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

285=0t+19g

Divide by 19

285/19 = g

15 = g

Now find t

85 = 2t+5g

85 = 2t +5(15)

85 = 2t + 75

10= 2t

t =5

Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.

5x + 3y = 70

2x + 5y = 85

(5x + 3y) x 2 = 70 x 2

10x + 6y = 140

(2x + 5y) x 5 = 85 x 5

10x + 25y = 425

10x + 25y -10x - 6y = 425 - 140

19y = 285

y = 15

2x + 5y = 85

2x + 75 = 85

2x = 10

x = 5

Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.

Answer:

True

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.

Answer: x = -3/4 can not be a rational zero of the polynomial.

Step-by-step explanation:

We have the polynomial:

6x^5 + ax^3 -bx -12 = 0.

The theorem says that:

If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).

The factors of -12  (different than itself) are (independent of the sign).

1, 2, 3, 4 and 6.

So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.

The factors of 6 are:

1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.

Then the option that can not be a zero of the polynomial is

x = -3/4

because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.

Answer:

74 reais

Step-by-step explanation:

Em uma determinada loja, o lucro obtido com a venda de fones de ouvido x, em reais, pode ser representado pela expressão algébrica 7x-17. Quanto lucro esta loja terá se vender 13 fones de ouvido?

O lucro é representado como 7x - 17

onde x = número de fones de ouvido vendidos

Se 13 fones de ouvido foram vendidos, o lucro será:

(7 * 13) - 17

= 91 - 17

= 74 reais

Answer: $70.65

Step-by-step explanation:

From the question, we are informed that Mica has $22.50 in her bank account and then she goes to the market to get groceries for the week and ends up spending more than planned. She later checks her account and found out that she now has a balance of $-48.15.

To get the amount of money that Mica spent at the market, we subtract her balance from the opening balance she had in her bank account. This will be:

= $22.50 - (-$48.15)

= $22.50 + $48.15

= $70.65

Mics spent $70.65 at the market.

Answer:

first tower needs 4

second needs 3

third needs 2

and the fourth needs 1

Total needed triangles for all is 10

Step-by-step explanation:

Answer:

2nd no is corret

Step-by-step explanation:

as altitude is defined as a st. line meeting its base forming 90degree angle.

Answer:

I think the second answer, JH is an altitude of GJI, is the correct answer.

Step-by-step explanation:

Having JH be an altitude of GJI means that it makes a 90 degree angle. And to prove that it's a 90 degree angle we look at where it has the little squares. The squares represent 90 degrees.

Hope this helps!

Answer:

Step-by-step explanation:

It's simple. So the only cards which are divisible by 2 or 3 are: 2,3,4,6,8,9,10,12,14,15,16,18,20,21,22,24. The formula of probability is P= m/n. Where m-Number of ways it can happen and n- Total number of outcomes.

Our answer is P= 16/24=2/3=66,66%

Answer: 18.75 pints per month

Step-by-step explanation:

Answer:

=

Step-by-step explanation:

1.42 is equal to 1.420. The 0 adds no value since it is after the decimal point so 1.420 is just 1.42, which is equal to itself, 1.42.

Answer:

=

Step-by-step explanation:

When you are looking at decimals, specifically on the right side of the decimal point, the amount of 0's after the last given non-0 digit can be disregarded.

1.420 is the same as 1.42

With this given information:

1.42 ____ 1.420

1.42 ____ 1.42

1.42 = 1.42

= would be your sign.

~

It would be irrational.

Reasoning:

A rational number is any number that can be expressed as a fraction of two integers provided that the denominator is not zero.

π is an irrational number because its approxiamation is [tex]\frac{22}{7}[/tex] is not the exact value of π. Additionally, we know that the quotient of irrational numbers can be rational or irrational. Here is the case where we have [tex]\frac{\pi }{2}[/tex], an irrational number divided by a rational number giving a quotient that is irrational.

Answer: irrational

Step-by-step explanation:

Apart from multiplying by 0 or dividing by pi, nothing can make pi rational. pi/2 is the same thing as 1/2pi, which is irrational, because it cannot be simplified into a repeating or terminating decimal