1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ruslelena [56]
2 years ago
15

SHOW YOUR SOLUTION

Mathematics
1 answer:
Ronch [10]2 years ago
6 0

<u>We are given:</u>

The base care + first 2 km price = 50 php

Cost for every subsequent km = 10 php

<u>Solving the questions:</u>

<u>Question 1:</u>

We are given that the driver will charge 50 php for the first 2 km

and then will charge 10 php for every km after that

In the equation, (y) has to be the fare paid and (x) is the distance travelled

So, our fare (y) will be 50 php the second we sit on the bike, and after the first 2 km, we will be charged 10php/km

It can be written as:

y = 50 + 10(x-2)          

<em>I multiplied 10 by x-2 since the price of 10 php/km starts after we have travelled 2 km</em>

<em />

<u>Question 2:</u>

Since we now have our equation, we are asked the cost if We travel 5 km

y = 50 + 10(x-2)

We know that in this equation, x is the distance travelled and y is the fare

Since we are told that the distance covered is 5 km:

y = 50 + 10(5-2)

y = 50 + 30

y = 80 php

<u>Question 3:</u>

We are asked the distance travelled if we have 120 php

We know that in the equation, y is the fare paid and x is the distance travelled

Since we are told that the fare paid is 120 php:

y = 50 + 10(x-2)

120 = 50 + 10(x-2)

120 - 50 = 10x - 20

10x = 90

x = 9 km

<u>Question 4:</u>

Rewriting our equation in the form, Ax + By = C

We have the equation:

y = 50 + 10(x-2)

y = 50 + 10x - 20

y = 30 + 10x

0 = 30 + 10x - y                                  [subtracting y from both sides]

10x - y = -30                                      [subtracting 30 from both sides]

You might be interested in
Given the position of the particle, what the position(s) of the particle when it’s at rest
choli [55]

The position function of a particle is given by:

X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t

The velocity function is the derivative of the position:

\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}

The particle will be at rest when the velocity is 0, thus we solve the equation:

2t^2-9t-18=0

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

Substituting:

\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}

We have two possible answers:

\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

undefined

6 0
1 year ago
Round 1.965 to the nearest tenth.
riadik2000 [5.3K]

Answer: 2

Step-by-step explanation:

5 0
3 years ago
State the probability that justifies each statement.<br><br>11. If 2x+19=27, then 2x=8​
Liono4ka [1.6K]

Answer:

100% true....

subtracting 19 from both sides brings you to 2x=8, so x=4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
How do you do this? I am really confused.
sukhopar [10]

Answer:

B. Hope this helps

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The length of a rectangular picture frame is 2 inches shorter than its width. If the perimeter of
jok3333 [9.3K]

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches

3 0
3 years ago
Other questions:
  • Dwayne starts assembling marketing packets at 11 a.m. Ashlie starts assembling marketing packets at 11:30 a.m. and assembles at
    7·1 answer
  • How do i covert a fraction into a decimal.
    15·1 answer
  • What is the tenth term of the geometric sequence that has a common ratio of 1/3 and 36 as its fifth term?
    6·1 answer
  • Which expression is equivalent to the expression -2 4/5+6/7: 2 4/5-6/7: -2 4/5-6/7: -(2 4/5+6/7): -(2 4/5 - 6/7)
    12·1 answer
  • 10-25 I know that a lot but I am terriable at math and don't understand this so please help
    13·1 answer
  • 6 plates and 5 cups cost 32.10 dollars. 7 plates and 6 cups cost 37.70 dollars. Each plate costs the same amount as the other pl
    9·2 answers
  • What is 1/3x+4=6?<br> Also show steps plz if you can...
    8·1 answer
  • Someone help me please like mega pleaseee help a girl out
    12·2 answers
  • Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture
    5·1 answer
  • Solve the two-step equation. 3 4 (x) − 1. 72 = −6. 82 1. The first step is to on both sides. 2. The second step is to on both si
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!