Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer:

The cost of an adult ticket is $12.50

Step-by-step explanation:

The given information are;

The cost of two adult tickets and three children tickets = $43.00

The cost of one adult ticket and one child ticket = $18.50

Whereby the cost of an adult ticket is represented by x and the cost of a child's ticket is represented by y, we get the following two simultaneous equations;

2·x + 3·y = 43.00...(1)

x + y = 18.5...(2)

(ii) Multiplying equation (2) by 2 and subtracting the result from equation (1) gives;

2·x + 3·y - 2×(x + y) = 43 - 2×18.5 = 6

2·x - 2·x + 3·y - 2·y = 0 + y = 6

∴ y = 6

The cost of each the children ticket = $6.00

From equation (2), where y = 6, we get;

x + y = 18.5

∴ x + 6 = 18.5

x = 18.5 - 6 = 12.5

The cost of an adult ticket, x = $12.50.

Answer:

Linear functions are

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18

Quadratic function is

R(x) = 19x^2

Step-by-step explanation:

The linear function is a function in which the degree of function is 1.

So,

f(x) = 0.45 x - 1

f(x) = 5

f(x) = 4.5 x + 18 are the linear functions.

The quadratic function is a function in which the degree of function is 2.

So,

R(x) = 19 x^2 is a quadratic function.

The exponential function is a function which involves the exponents.

Answer:

pic

Step-by-step explanation:

1. Divide 240 by 10 = 24

2. Multiply 24 • 8 = 192

Michele will need 192 oz. of mayonnaise.

Answer:

192 oz

Step-by-step explanation:

Hi there!

1) Create a proportion

[tex]\frac{8 (oz)}{10(servings)} =\frac{x(mayo)}{240(servings)} \\\frac{8}{10} =\frac{x}{240}[/tex]

2) Solve for x

[tex]\frac{8}{10} =\frac{x}{240}[/tex]

Multiply both sides by 240

[tex]\frac{8}{10} *240=x\\192=x[/tex]

Therefore, Michele would need 192 oz of mayonnaise.

I hope this helps!

Answer:

1) 11.75

2) 11.5

3) 11 and 14

4) 16.75

5) 13, and 16

Step-by-step explanation:

The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8

1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75

2) The data arranged in increasing order is presented as follows;

8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14

The count of he data points = 12

The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12  11)/2 = 11.5

The median = 11.5

3) The mode of the data set are 11 and 14

4) Where there are 5 more days per month that had a temperature above 40°C, we get;

The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5

5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;

8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2

10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16

Therefore, the mode are 13, and 16

9514 1404 393

Answer:

  B.

Step-by-step explanation:

The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:

  A ≅ B   ⇔   B ≅ A

Answer:

B. 16/3

Step-by-step explanation:

f(2) = 1/3 · 4²

f(2) = 1/3 · 16

f(2) = 16/3

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

La hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Step-by-step explanation:

Dado que Marcella le pide a Dora que la ayude a dividir 35 perlas entre sus tres hijas, y quiere darle la mitad a la hija mayor, la tercera parte a la del medio y la novena a la menor y, además, Marcella quiere darle una perla a Dora como recompensa, para determinar cuántas perlas recibirá cada hija se debe realizar el siguiente cálculo:

35 / 2 = Mayor = 17.5 perlas

35 / 3 = Medio = 11.66 perlas

35 / 9 = Menor = 3.88 perlas

Así, la hija mayor recibirá 17.5 perlas, la hija del medio recibirá 11.66 perlas, y la hija menor recibirá 3.88 perlas.

Answer:

3m -2

Step-by-step explanation:

(10m – 6) – (7m – 4)

Distribute the minus sign

(10m – 6) – 7m + 4

Combine like terms

3m -2

Answer:

mean value of female = 10.000

standard deviation of female = 1.604

mean value of male = 10.000

standard deviation of male = 2.449

Step-by-step explanation:

Given:

n=8 females

n=8 males

The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females

Solution:

The mean and the standard deviation are found by using MINITAB

The MINITAB procedure is explained as follows,

Step 1

choosing start > Basic statistics > Display Descriptive Statistics

Step 2

In variables supposed to enter the columns Female and Male

Step 3

Here choosing option statistics and select Mean and standard deviation

Step 4

Finally clicking OK

MINITAB output is as follows,

variable Mean standard deviation

Female 10.000 1.604

Male 10.000 2.449

b)

From the MINITAB output the mean are same for females and males.

Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.

9514 1404 393

Answer:

Step-by-step explanation:

1. The parentheses are gone and the factor outside parentheses has multiplied each term inside parentheses. The distributive property says you can do that.

__

2. 12+2 has been replaced by 14, and 2-20 has been replaced by -18. This is the result when you combine like terms.

__

3. 3x has disappeared from the left side, and the x-term on the right has been reduced by 3x from 5x to 2x. This is the result of subtracting 3x from both sides of the equation. The subtraction property of equality says you can do that. (Note that subtracting 3x is the same as adding -3x.)

__

4. -18 has disappeared from the right side, and the constant on the left has been increased by 18 from 14 to 32. This is the result of adding 18 to both sides of the equation. The addition property of equality says you can do that.

__

5. Both sides of the equation are 1/2 of what they previously were. This is the result of dividing both sides of the equation by 2. The division property of equality says you can do that (provided the divisor is not zero.)

Answer:

The final result is 7/10

the "divisions" (divisor) is 1/10

thus the answer is 7/10 ÷ 1/10

the actual operation ....

"to divide fractions we INVERT and Multiply"

7/10 * 10/1 = 70/10 = 7

there are 7 arrows going to the right

Step-by-step explanation:

Answer:

$1,471.5625

Step-by-step explanation:

Monthly salary = $1850

Weekly salary = $1850/4 weeks

= $462.5

Hourly rate = $462.5/40 hours

= $11.5625

Overwork time = 62 hours - 40 hours

= 22 hours

Time and a half = 1.5 times the normal salary

Overwork time payment per hour = 1.5 × $11.5625

= $17.34375

Overwork time payment for 22 hours = 22 × $17.34375

= $381.5625

Last week salary = weekly salary + overtime payment

= $462.5 + $381.5625

= $84.0625

Gross salary for the month = 3 weeks regular salary + last week salary

= (3 × $462.5) + $84.0625

= $1387.5 + $84.0625

= $1,471.5625

Answer:

Step-by-step explanation:

Solve using ratios:

Find x:

Answer:

620

amount= p+i , to find interest .I=500*4*6/100 =120 amount=500+120=620

Option B

Yes, because every value of x corresponds to exactly one y-value .

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

Answer:

x is ( -∞, 6-√(33) ) U ( 6+√(33) , -∞ )

Step-by-step explanation:

I have attached the explanation on the image above, hopefully this help

Answer:

x-intercept = (-8,0)                         y-intercept = (0,14)

Step-by-step explanation:

-7x + 4y = 56

4y = 7x + 56

y = 7/4x + 14

y-intercept = 14

0 = 7/4x + 14

-7/4x = 14

x = -8

Answer:

The trainers are 44.71% off the original price i think.

Step-by-step explanation:

Answer:

Step-by-step explanation:

value of x must be any real number except 5

that is option 2.

value of y can be any real number

that is option 1.

Based on the property of function that is one input must have exactly one output.

the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.

Answer:

Step-by-step explanation:

Property: Each element in the input set should have one and only element in the output set.

1) Value of x can be  any real number except 5

2) Value of y can be  any real number except -2

Answer:

7/25 or .28

Step-by-step explanation:

sin=opp/hyp

7/25

Answer:

Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

hope it helps.

Answer:Vaccines are made of mixtures that contain either parts of pathogens or whole pathogens that prepare the body's defenses to fight against the pathogens.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). 2x + y = 12 -----(1)

   x = 9 - 2y -------(2)

   By substituting the value of x from equation (2) to equation (1)

   2(9 - 2y) + y = 12

   18 - 4y + y = 12

   18 - 3y = 12

   3y = 18 - 12

   y = 2

   By substituting the value of x in equation (2)

    x = 9 - 2(2)

    x = 9 - 4

    x = 5

2). x + 2y = 9 ------(1)

    2x + 4y = 20

    x + 2y = 10 -------(2)

    Since, both the equations are the parallel equations,

    Therefore, No solutions will be the answer.

3). x + 3y = 16 -------(1)

    2x - y = 11 ---------(2)

    Multiply equation (2) by 3 the add to equation (1)

    6x - 3y + (x + 3y) = 16 + 33

    7x = 49

     x = 7

     From equation (1),

     7 + 3y = 16

     3y = 9

     y = 3

4). y = 11 - 2x -------(1)

    4x - 3y = -13 -------(2)

    By substituting the value of y from equation (1) to (2),

    4x - 3(11 - 2x) = -13

     4x - 33 + 6x = -13

     10x = 33 - 13

     10x = 20

     x = 2

      From equation (1)

     y = 11 - 2(2)

    y = 7

5). y = 10 + x -------(1)

    -3x + 3y = 30

    -x + y = 10

     y = 10 + x ------(2)

    Equations (1) and (2) are same.

    Therefore, Infinite solutions will be the answer.

6). 2x + y = 11 --------(1)

    x - 2y = -7 ---------(2)

    Multiply equation (1) by 2 then add to equation (2)

    4x + 2y + (x - 2y) = 22 - 7

    5x = 15

    x = 3

    From equation (2)

    3 - 2y = -7

    2y = 3 + 7

     y = 5

Answer:

Step-by-step explanation:   7  1  16   37

8/1     8 divided by 1

16/2   16 divided by 2

24/3   24 divided by 3       I could go on, but won't

Answer:

Sabemos que el piso es un rectángulo de 435 cm de largo y 375 cm de ancho.

Recordar que para un rectángulo de largo L, y ancho W, el área es:

A = L*W

Entonces el área del piso, será:

A = 435cm*375cm = 163,125 cm^2

Primero, sabemos que se utilizaran baldosas (las cuales son cuadradas) y queremos saber la longitud de lado que tendrían las baldosas.

No tenemos ningún criterio para encontrar este lado, solo que (si queremos usar un número entero de baldosas) el largo L del lado de la baldosa deberá ser un divisor de tanto el ancho como el largo del suelo.

Dicho de otra forma

el largo, 435cm, tiene que ser múltiplo de L

el ancho, 375cm, tiene que ser múltiplo de L.

Por ejemplo, ambos números son múltiplos de 5, entonces podríamos tomar L = 5cm

En este caso, el área de cada baldosa es:

a = L^2 = 5cm*5cm = 25cm^2

Y el número total de baldosas que necesitaría usar esta dado por el cociente entre el área del suelo y el area de cada baldosa.

N = ( 163,125 cm^2)/(25cm^2) = 6,525 baldosas.

También sabemos que ambos números (435cm y 375cm) son múltiplos de 15cm

Entonces las baldosas podrían tener 15cm de lado.

En este caso, el área de cada baldosa es:

A = (15cm)^2 = 225cm

En este caso el número total de baldosas necesarias será:

N =  ( 163,125 cm^2)/(225cm^2) = 725 baldosas.

Answer:

y = 5x + 19

Step-by-step explanation:

y = 5x + b

4 = 5(-3) + b

4 = -15 + b

19 = b

Answer:

25

Step-by-step explanation:

put -5 from x so (-(-5))²=25

Solution:

For each occurence of x in f(x) substitute 4 and clculate the result

f(x)=-x^2+5 becomes

f(4)=-(4)^2+5

f(4)=-16+5

f(4)=-11