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Illusion [34]
3 years ago
14

The price of a train ticket consists of an initial fee of $5 plus a fee of $2.75per stop

Mathematics
2 answers:
mamaluj [8]3 years ago
7 0

The complete question describes the use of word problems to represent inequalities. The $21 means that there is a limit to the number of stops she can take using the train.

The inequality that represents this scenario is:

5 + 2.75x \le 21

From the complete question, we have the following parameters:

Initial Fee = $5

Rate per stop = $2.75

Amount = $21

The inequality that represents the scenario is as follows:

Initial Fee + Rate * Number of stops <= Amount

We use <= because the total charges must not exceed the amount.

Let the number of stops be x.

The above formula becomes

5 + 2.75 * x \le 21

5 + 2.75x \le 21

Read more at:

brainly.com/question/16061085

lys-0071 [83]3 years ago
4 0

Answer:

a and 5

Step-by-step explanation:

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<span>19.47 is 66% of 29.5.

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What is the midpoint​
antoniya [11.8K]

<u>Answer:</u>

(0.5, -0.5)

<u>Step-by-step explanation:</u>

We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.

We know the formula for the mid point:

Midpoint = ( \frac {x_1 + x_2} {2} ,\frac {y_1 + y_2} {2} )

Substituting the coordinates of the given points in the above formula:

Mid point = (\frac {5 + (-4) } {2} , \frac { 6 + (-7)} {2} ) = (0.5, -0.5)

8 0
3 years ago
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Which of the following are identities? Check all that apply.
Nata [24]

Answer: The correct identities are: 1 + tan^2x = sec^2x 1 + cot^2x = csc^2x sin^2x + cos^2x = 1 which correspond to B and D

Step-by-step explanation:

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4 0
3 years ago
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Alexandria has been playing at the beach with 329 shells. She is putting shells into rows of 6. How many rows will she need if s
Hitman42 [59]

Answer:

Alexandria requires 55 rows to use all the shells.

Step-by-step explanation:

Given:

Number of Shells = 329

Number of shells in each row = 6

We need to find the number of rows she need if she wants to use all the shells.

Solution:

Now we know that;

number of rows she needs can be calculated by Dividing Number of Shells with Number of shells in each row.

framing in equation form we get;

number of rows = \frac{329}{6} = 54.83 \approx 55

Hence Alexandria requires 55 rows to use all the shells.

5 0
3 years ago
I need help on #17 can someone please help me?
sashaice [31]

Answer:

t=2

Step-by-step explanation:

We are given the equation

h = -16t²+36t+1

Next, we are asked to find how long the ball was in the air (the time, in seconds) if Casey caught the ball 9 feet above the ground (9 feet is the height).

Therefore, as 9 is the height, we can plug that into our equation to get

9 = -16t²+36t+1

To make this a quadratic equation that is easy to factor, we can subtract 9 from both sides to get

-16t²+36t-8=0

To factor this, we need to find two values that add up to 36 and multiply to (-16)*(-8) = 128. With a little guess and check, I found the numbers 32 and 4 to work well. We can then make the equation

-16t²+32t+4t-8=0

-16t(t-2) + 4(t-2) = 0

(-16t+4)(t-2) = 0

Therefore, to solve for the equation being 0, or 9 = -16t²+36t+1, either (t-2) or (-16t+4) must equal 0

t-2 = 0

t=2

-16t+4 = 0

-16t = -4

t = 1/4

Therefore, t=1/4 and/or t=2. To figure out which one it is (or both!), we can take into account that the question states "on its way down". This means that the ball goes up and then down, and we want to find t when it is going down. Using the knowledge that a ball that is hit goes up and then down, as well as that -16t²+36t-8=0 is a quadratic equation with 2 solutions, we can say that the higher value of t (t=2) represents when the ball is going down

3 0
3 years ago
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