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kiruha [24]
3 years ago
11

4. On a beach trip, Lucy rents a bike from "Wheels by the Waves", where

Mathematics
1 answer:
Dimas [21]3 years ago
7 0

Answer:

6 hours

Step-by-step explanation:

The equation for this would be

c=3h+12

It costs $3 per hour, and there is a $12 cost no matter how many hours the bike is rented for

We know,c, or the cost is $30, so we can substitute that in

30=3h+12

Solve, by isolating the variable,h

First, subtract 12 on both sides

30=3h+12

18=3h

Divide by 3 on both sides

h=6

So, she rented the bike for 6 hours

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Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as
Lelechka [254]

Answer:

The T = \frac{18}{m} best models the amount of time it takes him to finish with kelvin cycling .

Option (A) is correct.

Step-by-step explanation:

As given

Kevin cycles 18 miles every morning as part of his exercise.

The time it takes him to complete the distance varies inversely as the speed at which he rides.

Time \propto \frac{1}{Speed}

Time = \frac{Distance}{Speed}

As m miles per hour is represented the speed.

T is the time taken by Kevin cycle for morning exercise .

Distance = 18

Putting the values in the above

T = \frac{18}{m}

Therefore the T = \frac{18}{m} best models the amount of time it takes him to finish with kelvin cycling .

Option (A) is correct.




6 0
3 years ago
Read 2 more answers
What is the x coordinate of the solution of the system? 2x+y=15 and x-y=3
Varvara68 [4.7K]

x - y = 3

x = 3 + y

x -3 = y

y = x-3

put it in 1st equation

2x +y = 15

2x + x - 3 = 15

3x - 3 = 15

3x = 15+3 = 18

x = 18/3 = 6

x = 6

6 0
3 years ago
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
azamat

<h3>Answer:</h3>

Equation of the ellipse = 3x² + 5y² = 32

<h3>Step-by-step explanation:</h3>

<h2>Given:</h2>

  • The centre of the ellipse is at the origin and the X axis is the major axis

  • It passes through the points (-3, 1) and (2, -2)

<h2>To Find:</h2>

  • The equation of the ellipse

<h2>Solution:</h2>

The equation of an ellipse is given by,

\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1

Given that the ellipse passes through the point (-3, 1)

Hence,

\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1

Cross multiplying we get,

  • 9b² + a² = 1 ²× a²b²
  • a²b² = 9b² + a²

Multiply by 4 on both sides,

  • 4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1

Cross multiply,

  • 4b² + 4a² = 1 × a²b²
  • a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

  • 3a²b² = 32b²
  • 3a² = 32
  • a² = 32/3----(3)

Substituting in 2,

  • 32/3 × b² = 4b² + 4 × 32/3
  • 32/3 b² = 4b² + 128/3
  • 32/3 b² = (12b² + 128)/3
  • 32b² = 12b² + 128
  • 20b² = 128
  • b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1

\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

<h3>Hence equation of the ellipse is 3x² + 5y² = 32</h3>
8 0
3 years ago
I really need help if you explain I will give brainliest
Troyanec [42]
Since the ratio of sides is 4 to 3, the proportion is:

\frac{4}{3} = \frac{12}{x}

x = 9
6 0
3 years ago
Pentagon PQRST and its reflection, pentagon P'Q'R'S'T', are shown in the coordinate plane below.
Step2247 [10]
<span>draw a straight line through those points. that's your line of reflection. now you have only to figure out which of those equations corresponds to it.
So it y=x</span>
5 0
3 years ago
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