PLEASE HELP ME!I have a really hard time with algebra 2 and I really need to pass:(

Answer:

21

Step-by-step explanation:

The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Solution

Let

y = number of bus fares.

Cost of bus fares without coupon book = 1.50y

Cost of bus fares with coupon book = .50y + 21

Equate cost of bus fares without coupon book and cost of bus fares with coupon book

1.50y = .50y + 21

Subtract .50y from both sides of the equation

1.50y - .50y = .50y + 21 - .50y

1.00y = 21

Divide both sides by 1.00

y = 21 / 1.00

y = 21 times

Answer:

[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]

Step-by-step explanation:

The given system of linear equations is:

[tex](cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0[/tex]

We have to solve the equations for the values of [tex]x, y[/tex].

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by [tex]sin\theta[/tex] and second equation by [tex]cos\theta[/tex]

Now, the equations become:

[tex](cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)[/tex]

Now, let us add (1) and (2):

[tex](sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta[/tex]

Using the equation:

[tex](-sin\theta)x+(cos\theta)y=0[/tex]

Putting value of [tex]y[/tex]:

[tex]\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta[/tex]

So, the answer to the system of linear equations is:

[tex]\bold{x =cos\theta}\\\bold{y=sin\theta}[/tex]

Answer:

$24.50

Step-by-step explanation:

$35 - 30% = $24.50.

Thus, that is the answer.

Hope this helps!

Answer- $24.50

$35 - 30% is $24.50.

Gorgi saved $10.50 as well.

Hope this helps!

Answer: 2000m/h

Step-by-step explanation:

speed = distance/time

milas distance was (2/3).(750 m) = 500 m, so her speed was (500 m)/(1/4) = 2000 m/h

Answer:

a acute angle

Answer:

Heres an Example:  X^1 Y^2/ X^2 Y61

Step-by-step explanation:

It's a problem like this I hoped it helped! :3

Answer:

B. The variable is qualitative because color describes an attribute or characteristic.

Step-by-step explanation:

Color is a qualitative variable, used to describe an object. Color cannot be measure or counted, but can be used as a descriptive property of an object. Other examples of qualitative variables include beauty, happiness etc

Quantitative variables are those that can be counted or measure. examples of quantitative variables are height. age, weight, loudness, etc

Answer:

B. $8.50 and $8.99

Step-by-step explanation:

Answer:

B. $8.50 and $8.99

Step-by-step explanation:

Answer:

[tex]\boxed{3}[/tex]

Step-by-step explanation:

[tex]6\frac{1}{2} /1\frac{3}{4} =\frac{13}{2} /\frac{7}{4}=\frac{13}{2} *\frac{4}{7}=\frac{52}{14} =\frac{26}{7} =3.714[/tex]

Answer:

6 1/2 pies =   26/4 pies and 7/4 are sold per day

It will last

26/4 divided by 7/4 days =

104 / 28 = 26 / 7 = 3.7142857143  days

Step-by-step explanation:

Answer:

tththtfhhtfhtfttfh

Step-by-step explanation:

tfhtfh

Answer:

0

Step-by-step explanation:

The question is asking for any number between -5 and 2, so you can choose -4, -3, -2, -1, 0, or 1

Answer:

X=4

Step-by-step explanation:

collect like term than move the rate and divide by 12

Answer:

f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15

Step-by-step explanation:

1) 5*3=15

15-2=13

2) 8*.5*3=12

3) -8*3=-24

-24-2= -26

4) -10*.5*3= -15

Answer:

well the 6 in 683.5 is in the hundreds, and the 6 in 30.67 is in the tenths so the one in 30.67 is actually smaller than the 6 in 683.5

Step-by-step explanation:

Answer:

500,000 + 80,000 + 2,000 + 30

Answer:

1/2 of 24 = 12

1/6 of 24= 4

1/4 of 24 = 6

Step-by-step explanation:

divide

Which of the following statements correctly describes the expression below based on its degree and number of terms? 3x^4 - 7x^2 + 11. The expression has four terms and a degree of 6. The expression is a trinomial with a degree of 6. The expression is a trinomial with a degree of 4. The expression has four terms and a degree of 4.

hope this helps!

Answer:

$1.5

Step-by-step explanation:

[tex]160\:hot\:dogs = \$240\\1 \: hot \:dog = \$x\\\\160x = 240\\\\\frac{160x}{160} = \frac{240}{160} \\\\x = \$1.5[/tex]

Answer:

1/25   0.2   1/4

Step-by-step explanation:

1/25, 1/4 , 0.2

1/25 = 0.04

1/4 = 0.25

1/25   0.2   1/4

Answer:

Subtract 4y from both sides of the equation.

Answer: y=3x-3

Step-by-step explanation:

To find a line that is parallel to the function, we know that the slope must stay the same. Parallel lines NEVER cross. This means the slope MUST be the same. All we have to change is the y-intercept. We can use the given point to find the correct y-intercept.

y=3x+b                                     [plug in (4,9)]

9=3(4)+b                                 [multiply]

9=12+b                                     [subtract both sides by 12]

b=-3    

Now, we know that the y-intercept is -3, we can put together our equation. y=3x-3

Answer:

D. 6 seconds.

Step-by-step explanation:

When the ball hits the ground f(t) = 0 , so:

-1/2t^2 + 2t + 6 = 0

Take out the -1/2:

-1/2(t^2 - 4t - 12) = 0

-1/2(t - 6)(t + 2) = 0

t = -2 , 6.  We ignore the negative zero.

So the answer is 6 seconds.

Answer:

6 seconds is right!

I got it right in class

Answer:

15-13=2

13+2=15

x=2

now double check the answer and

2+13=15

x = 2 is your answer

Answer:

23

Step-by-step explanation:

3x = 69°

This is because they are vertically opposite angles.

You would have to divide 69 by 3.

69 ÷ 3 = 23

23 · 3 = 69

a. The number of chips Data should order to achieve a 95 percent service probability before his trip is 40.

b. The maximum order quantity of chips Data will ever have to order to ensure a 95 percent service probability.

Given:

Lieutenant Commander Data needs a 95 percent service probability for his monthly trip to Gamma Hydra City to pick up iso-linear chips.

The trip takes Data about four days.

Data uses iso-linear chips at an average rate of seven per day (seven days per week).

The standard deviation of demand for iso-linear chips is three per day.

Data currently has 40 chips in inventory.

To find:

a. The number of chips Data should order to achieve a 95 percent service probability before his trip.

b. The maximum order quantity of chips Data will ever have to order to ensure .

Therefore, to determine the order quantity, Data needs to calculate the safety stock using the formula:

Safety Stock = Z x Standard Deviation of Demand

where:

For the maximum order quantity, Data should consider the worst-case scenario.

The maximum order quantity will be the safety stock plus the maximum daily demand during the trip (four days) and the current inventory (40 chips).

By calculating these values, Lieutenant Commander Data can ensure a sufficient inventory level and meet the 95 percent service probability during his trip to Gamma Hydra City.

Learn more about service probability here:

https://brainly.com/question/33811154

#SPJ4

Answer:

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Step-by-step explanation:

Step(i):-

Given equations are  x₁+4 x₂ = 11 ...(i)

                                 2 x₁ + 7 x₂= 18 ...(ii)

The matrix form

                                A X = B

            [tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]

Step(ii):-

      [tex]\left[\begin{array}{ccc}1&4\\2&7\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\8\\\end{array}\right][/tex]

The Augmented Matrix form is

[tex][AB] = \left[\begin{array}{ccc}1&4&11\\2&7&18\\\end{array}\right][/tex]

Apply Row operations,  R₂ → R₂-2 R₁

[tex][AB] = \left[\begin{array}{ccc}1&4&11\\0&-1&-4\\\end{array}\right][/tex]  

The matrix form

                   [tex]\left[\begin{array}{ccc}1&4\\0&-1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}11\\-4\\\end{array}\right][/tex]

The equations are

                     x₁ + 4 x₂ = 11 ...(a)

                         - x ₂ = - 4

                            x ₂ = 4

Substitute   x ₂ = 4 in equation (a)

                      x₁ + 4 x₂ = 11

                      x₁ = 11 - 16

                        x₁ = -5

Final answer:-

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Answer:

[-4, 2]

Step-by-step explanation:

the domain is between -4 and 2, but it also includes those numbers, so you get:

[-4, 2]

Answer:

y= x-2 /4

Step-by-step explanation:

x=4y+2

4y=x-2

answer:

y= x-2 / 4

Step-by-step explanation:

5y - 1 = 4y + 5

5y -4y = 5 + 1

Y (1y) = 6