Two families paid a total of $44.00 to see a movie. Each adult ticket cost $8.00. If there were 3 adults and 4 children, how much did each childs ticket cost?​

Answer:

4

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

I'm pretty sure that this one is the correct factorization of the polynomial above: c) (3x+4)(9x^2-12x+16)

(3x−4)⋅(9x  

2

+12x+16)

See steps

Step by Step Solution:

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STEP

1

:

Equation at the end of step 1

 33x3 -  64

STEP

2

:

Trying to factor as a Difference of Cubes

2.1      Factoring:  27x3-64  

Theory : A difference of two perfect cubes,  a3 - b3 can be factored into

             (a-b) • (a2 +ab +b2)

Proof :  (a-b)•(a2+ab+b2) =

           a3+a2b+ab2-ba2-b2a-b3 =

           a3+(a2b-ba2)+(ab2-b2a)-b3 =

           a3+0+0+b3 =

           a3+b3

Check :  27  is the cube of  3  

Check :  64  is the cube of   4  

Check :  x3 is the cube of   x1

Factorization is :

            (3x - 4)  •  (9x2 + 12x + 16)  

Trying to factor by splitting the middle term

2.2     Factoring  9x2 + 12x + 16  

The first term is,  9x2  its coefficient is  9 .

The middle term is,  +12x  its coefficient is  12 .

The last term, "the constant", is  +16  

Step-1 : Multiply the coefficient of the first term by the constant   9 • 16 = 144  

Step-2 : Find two factors of  144  whose sum equals the coefficient of the middle term, which is   12 .

     -144    +    -1    =    -145  

     -72    +    -2    =    -74  

     -48    +    -3    =    -51  

     -36    +    -4    =    -40  

     -24    +    -6    =    -30  

     -18    +    -8    =    -26  

For tidiness, printing of 24 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 (3x - 4) • (9x2 + 12x + 16)

Answer:

C

Step-by-step explanation:

When factorising the sum of cubes, we use the formula

a^3+b^3=(a+b)(a^2−ab+b^2).

In this case of 27x3+64,

27x^3=a^3

64=b^3

Find a:

27x^3=a^3

3^√27x^3=3^√a^3

3x=a

Find b:

64=b^3

3^√64=3√b^3

4=b

Substitute a=3x and b=4 into

 (a+b)(a^2−ab+b^2)

(3x+4)((3x)^2−(3x×4)+4^2)

= (3x+4)(9x^2−12x+16)

(3x+4)(9x^2−12x+16) is the factorised form of 27x^3+64

3588.3 thats the answer

Answer:

11/14

Step-by-step explanation:

change the 1 1/7 numerator into an improper fraction as 8/7

the common denominator of 7 and 4 is 28 for the numerator

this would leave you with 32/28-21/28

change the denominator 2 1/2 to 5/2

5/2 x 1/5 you multiply top and bottom to get 5/10=1/2

this would leave you with 11/28 / 1/2

when you divide fractions you change the divide to multiply by the reciprocal

11/28 x 2/1 = 22/28

22/28 = 11/14

Answer:

Caleb’s error was :

instead of selecting the least exponent ,Caleb took the highest exponent.

Step-by-step explanation:

3x² = 3 • x • x

(in this factorization the exponent of 3 is 1 and the exponent of x is 2)

9x = 3 • 3 • x

(in this factorization the exponent of 3 is 2 and the exponent of x is 1)

• The common factors of 3x² and 9x are 3 and x

In order to determine the GCF ,we have to Compare the exponents of the  common factors then take the numbers which have the least exponent value.

• in the factorization of 3x² the exponent of 3 is 1

and in the factorization of 9x the exponent of 3 is 2

The least exponent is 1 Then we take it.

• in the factorization of 3x² the exponent of x is 2

and in the factorization of 9x the exponent of x is 1

The least exponent is 1 Then we take it.

Conclusion:

GCF(3x² , 9x) = 3¹ × x¹ = 3x

Answer:

8.68 radians per second.

Step-by-step explanation:

The circumference of the wheel is 2 π r

= 38π meters.

So that is 164.95 / 38π of full turns of the wheel.

1 turn of the wheel = 2π radians , so the answer is

(164.95 / 38π)  * 2π  

= 164.95 / 19

= 8.68 radians per second.

The system of linear inequalities has an algebraic solution of 3 - x/2 ≤ y < x/2 + 4 and a graphical solution of (-4, 2) and (0, 2)

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

In the question given, the inequalities are;

y < 1/2x + 4 ....1

x + 2y ≥ 6 ...2

Solving for both inequalities;

The solution is given as 3 - x/2 ≤ y < x/2 + 4

This can be represented on a graph as and it has a solution of (-4, 2) and (0, 2) graphically.

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The statement of pre-image is dilated is the resulting image congruent to the origina is false.

A dilation is a change that creates a picture that is a similar shape as the first, however is an alternate size. • An expansion that makes a bigger picture is called a development. • An expansion that makes a more modest picture is known as a decrease.

As we all know that dilation is used to resize the object. It make the objects larger or smaller.

It produces an image that is the same shape as the original, but is a different size.

This means, the original figure and the transformed figure would not be congruent.

Therefore, the statement 'When an object is dilated, the resulting image is congruent to the pre-image.' is False

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Answer:

5 ( or ) - 5

Step-by-step explanation:

12/3 = 4

240/4 = 60

m² + 35 = 60

m² = 60 - 35

m² = 25

m = - 5 ( or ) 5

Because,

( - 5 )² = - 5 * - 5 = 25

5² = 5 * 5 = 25

Answer:

No they are not equivalent.

Step-by-step explanation:

2(x - 2) + 3

First distribute the 2. It goes to both the x and also to the - 2

= 2x - 4 + 3

Add - 4 + 3

= 2x - 1

This is not equal to 2x - 7

Answer:

A.

have a good day or night

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is 0.096

The expected number of nonconforming items out of the 50 items:

0.02 x 50 = 1.

The standard deviation of the number of nonconforming items:

√(50 x 0.02 x (1 - 0.02)) = 0.948.

The expected number of nonconforming items out of the 50 items after the shift:

0.04 x 50 = 2.

The standard deviation of the number of nonconforming items after the shift:

√(50 x 0.04 x (1 - 0.04)) = 1.1.

The Z-score:

(2 - 1) / (1.1 - 0.948) = 0.609.

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift:

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is determined by calculating the Z-score. Z-scores measure.

The probability of detecting a shift is calculated using the Z-score and the standard normal distribution.

P(Z > 0.609) = 0.096.

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Answer:

yes

Step-by-step explanation:

40 divided by 5 equals 8 and 120 divided by 14 equals 8.5. they are in the same number range.

Answer:

.2

Step-by-step explanation:

4.59/24=.2

Answer: The one below the top.

Step-by-step explanation: In order to tell if it is a function or not, you need to do the vertical line test. By examining the graph you can see that majority of the graphs has two points in the same x-axis. The only one that pasts the test is the graph below the top one.

Answer: The second one is because there can't be two y's in a straight line of a function and all of the other graphs have two y's in a line.

Step-by-step explanation:

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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Answer:

About 5 jars to fill

This matrix has a pivot in every column, so the set of polynomials {p1, p2, p3} is linearly independent.

There are no scalars c1, c2, c3 (not all zero) that satisfy the equation c1p1(x) + c2p2(x) + c3p3(x) = 0 for all x.

To test the linear independence of the set of polynomials, we can make each coordinate vector a column of the matrix and perform row operations to transform the matrix to row-echelon form.

If the resulting matrix has a pivot in every column, then the set of polynomials is linearly independent.

If there is a column without a pivot, then the set of polynomials is linearly dependent.

To demonstrate, let's consider the set of polynomials {p1, p2, p3}.

where:

p1(x) = x2 - 3x + 2p2(x)

= -x2 + 2xp3(x)

= 3x2 - 4x - 1

We will create a matrix with the coordinate vectors of each polynomial as columns:

\($$\begin{pmatrix}1 & -1 & 3\\-3 & 2 & -4\\2 & 0 & -1\end{pmatrix}$$\)

Now, we will perform row operations to transform the matrix to row-echelon form:

\($$\begin{pmatrix}1 & -1 & 3\\0 & -1 & 5\\0 & 0 & 1\end{pmatrix}$$\).

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The solution to the compound inequality 3< 5p - 7 ≤ 23 is 2 < p ≤ 6

The compound inequality is given as

3< 5p - 7 ≤ 23

We can solve this compound inequality by adding 7 to all parts of the inequality and then dividing all parts by 5.

Starting with 3 < 5p - 7 ≤ 23, we add 7 to all parts:

10 < 5p ≤ 30

Now we divide all parts by 5:

2 < p ≤ 6

Therefore, the solution is 2 < p ≤ 6.

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The two values of speed are the same. The statement is correct.

The speed is the fraction of the distance traveled and the time taken by the object to cover that distance. The speed is measured in meters per second as a unit.

It is given that one object travels 7 miles distance in a time of 10 minutes. So this is equal to the distance he traveled 3.5 miles in the time of 5 minutes.

The two speeds can be calculated as:-

Speed one  = 7 / 10 = 0.7 miles/s

Speed second = 3. 5/ 5 = 0.7 miles/s

Therefore, the two speeds are the same.

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Answer:

Company C

Step-by-step explanation:

Company A sells 12 tigers for $33.24.

Cost per tiger = $33.34 / 12

= $2.78

Company B sells 16 tigers for $44.80. Company

Cost per tiger = $44.80 / 16

= $2.8

C charges $41.10 for 15 tigers.

Cost per tiger = $41.10 / 15

= $2.74

The company that has the best buy is company C that charges $2.74 per tiger

Answer:

For x-2y+3= 9 the answer is X - 2y+3=9 and for -x+3y = -4 the answer is x- 3y-4=0 and for 2x - 5y + 5z = 17 the answer is X=17/2+5/2y-5/2z,yer,zer

Step-by-step explanation:

a) Baumol-Tobin model of money demand is based on the transaction costs. b)Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest. c)True. Wage growth resulting from an increase in expected inflation is a sign. d)Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy  

a) Baumol-Tobin model of money demand is based on the transaction costs of converting non-monetary assets into money and vice versa.

Whereas, the Money in the Utility Function model of money demand is based on the utility of holding money as a store of value and the opportunity cost of holding non-monetary assets.

b) Milton Friedman argued for a 0% nominal interest rate as he believed that the nominal interest rate should reflect the real rate of return and expected inflation, and a 0% nominal interest rate would help stabilize the economy by reducing fluctuations in the nominal interest rate.

c) True. Wage growth resulting from an increase in expected inflation is a sign, not the cause, of inflation. An increase in expected inflation can lead to an increase in nominal wages, but this increase in nominal wages does not cause inflation. Instead, inflation is caused by an increase in the money supply.

d) Uncertain. The money supply may not increase by exactly $10 million if the central bank buys $10 million worth of securities. This is because the central bank may purchase securities from a bank that already has excess reserves, which would not increase the money supply.

e) False. The Taylor Rule is an explicit rule in central banking that provides guidance on setting the policy interest rate based on the output gap and inflation deviation from target.

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Explanation of mistake; The mistake that we can find is that the wrong denominator was used to multiply the terms in the numerator.

Correct answer;  \(3x^2\)+  5x - 10/(x - 5) (x + 1)

Simplifying algebraic fractions involves reducing them to their simplest form by canceling out common factors in the numerator and denominator.  Identify common factors in the numerator and denominator and divide both by these common factors. This step helps simplify the fraction.

We have that;

3x/x - 5 + 2/x + 1

3x(x + 1) + 2(x - 5)/(x - 5) (x + 1)

\(3x^2\)+ 3x + 2x - 10/(x - 5) (x + 1)

\(3x^2\)+ 5x - 10/(x - 5) (x + 1)

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To find the percentage of red marbles in Janelle's bag, we can use the formula: percentage = (part/whole) x 100

In this case, the "part" refers to the number of red marbles (27), and the "whole" refers to the total number of marbles (90).

So, the percentage of red marbles can be calculated as:

percentage = (27/90) x 100 = 30%

Therefore, 30% of the marbles in Janelle's bag were red.

To explain further, we can say that Janelle received a total of 90 marbles, and out of these, 27 were red. To find the percentage of red marbles, we divided the number of red marbles (27) by the total number of marbles (90) and multiplied by 100 to express the answer as a percentage. This calculation shows that 30% of the marbles in Janelle's bag were red.

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Answer:

The answer is 4.725

Step-by-step explanation:

Answer:

4.725 is the correct answer

Step-by-step explanation:

Answer:

7.9m

Step-by-step explanation:

Area of square = length^2

62.41 = L^2

L= √62.41

so, L= 7.9m

The total distinguishable ways can the donors be in line is 362,736.

The total number of distinguishable ways:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362,880

To subtract the number of in-distinguishable arrangements:

(4! x 3!) + (3! x 2!) = 144

There are 362,736 distinguishable ways in which four donors with type O blood, three donors with type A blood, and two donors with type B blood can be in line.

This is calculated by first determining the total number of distinguishable arrangements, which is 9!.

Then,

The number of indistinguishable arrangements is subtracted from the total.

Which is done by multiplying the number of arrangements for each blood type separately and then adding them together.

The result is then subtracted from the total, leaving the number of distinguishable ways.

The total number of distinguishable ways is:

362,880 - 144 = 362,736

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