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leva [86]
2 years ago
13

OVER HERE

Mathematics
2 answers:
Rasek [7]2 years ago
8 0

Answer:

  • Minimum 2 hours

Step-by-step explanation:

Sunset Canyon Bikes charges $1.50 per hour and a $8.00 rental fee.

<u>Equation:</u>

  • y = 1.5x + 8

Blue Canyon Bikes charges $3.50 per hour and a $4.00 rental fee

<u>Equation:</u>

  • y = 3.5x + 4

The second equation has a greater slope so beyond the intersection of the lines the Sunset Canyon Bikes will have lower price.

<u>The point of intersection is:</u>

  • 1.5x + 8 = 3.5x + 4
  • 3.5x - 1.5x = 8 - 4
  • 2x = 4
  • x = 2 hours

The graph is attached, where the red line is the first equation and the blue line is the second one.

Alinara [238K]2 years ago
5 0

Answer:

The answer is 3 hours I think.

Step-by-step explanation:

You might be interested in
Question included in the image - geometry problem.
iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that <em>L₁ </em>|| <em>L</em>₂:

The <u>exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.  

Also, ∠y° and ∠2x° are <u>same-side interior angles</u> formed by the intersection of the <em>hypotenuse</em> of the triangle that acts as a transversal to the parallel lines, <em>L₁ </em>and <em>L</em>₂.  Given that ∠y° and ∠2x° are <u>same-side interior angles</u>, then it means that they are the supplements of each other, such that the sum of their measures is 180°.  

Now that we have established these definitions, we can proceed with the solution.

<u>Equation 1</u>:  ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

<u>Equation 2</u>:  ∠y° =  ∠x° + ∠84°  ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° +  ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

\frac{3x}{3} = \frac{96}{3}

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° =  ∠x° + ∠84°

∠y° =  ∠32° + ∠84°

∠y° =  116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° =  ∠x° + ∠84°

116° = 32° + 84°

116°  = 116°  (True statement)

Therefore, the correct answer is: y = 116°.

5 0
3 years ago
Luana bought a new phone and plan. She paid $175. after three months, She paid $295. after 6 months. Write an equation that mode
elixir [45]

Answer: Hence, our required model will be

C=40m+55

Explanation:

Since we have given that

Luana bought a new phone and

For 3 months, the amount she paid = $175

For 6 months, the amount she paid = $295

Now, we have to model an equation ,

Here, let cost be 'C' and

Let number of months be 'm'.

So, we will use the "equation of line" i.e. for two point slope form :

Here y represented by 'C' and x represented by 'm'

So,

C-C_0=\frac{295-175}{6-3}(m-m_0)\\\\C-175=\frac{120}{3}(m-3)\\\\C-175=40(m-3)\\\\C-175=40m-120\\\\C=40m-120+175\\\\C=40m+55

Hence, our required model will be

C=40m+55

6 0
3 years ago
During the summer you charge eight dollars per hour for babysitting plus $10 in gas money for driving to the house if you Make $
maxonik [38]

Answer:

the answer is 4 hours

Step-by-step explanation:

42-10=32

for the gas money

32 divided by 8 =4 hours

7 0
3 years ago
A sailboat is sitting at rest near its dock. A rope attached to the bow of the boat is drawn in over a pulley that stands on a p
irina [24]

Answer:

The boat is approaching the dock at rate of 2.14 ft/s

Step-by-step explanation:

The situation given in the question can be modeled as a triangle, please refer to the attached diagram.

A rope attached to the bow of the boat is drawn in over a pulley that stands on a post on the end of the dock that is 5 feet higher than the bow that means x = 5 ft.

The length of rope from bow to pulley is 13 feet that means y = 13 ft.

We know that Pythagorean theorem is given by

x^{2} + y^{2} = z^{2}

Differentiating the above equation with respect to time yields,

2x\frac{dx}{dt}  + 2y\frac{dy}{dt} = 2z\frac{dz}{dt}

x\frac{dx}{dt}  + y\frac{dy}{dt} = z\frac{dz}{dt}

dx/dt = 0  since dock height doesn't change

y\frac{dy}{dt} = z\frac{dz}{dt}

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

The rope is being pulled in at a rate of 2 feet per second that is dz/dt = 2 ft/s

First we need to find z

z² = (5)² + (13)²

z² = 194

z = √194

z = 13.93 ft

So,

\frac{dy}{dt} = \frac{z}{y} \frac{dz}{dt}

\frac{dy}{dt} = \frac{13.93}{13}(2)

\frac{dy}{dt} = 2.14 ft/s

Therefore, the boat is approaching the dock at rate of 2.14 ft/s

8 0
3 years ago
Please help need answer fast will give brainliest
Archy [21]
Answer is D. 3000. This is because 1.2*10^3=1200 and 4*10^-1=.04 so using the equation .4x=1200 when x=300 makes the equation true.
5 0
3 years ago
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