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netineya [11]
2 years ago
8

William buys a bus ticket every day, Monday to Friday, for $2.50. The bus company has just introduced a card which can be bought

to get a discount on all bus fares. Each card is valid for 4 weeks. William has worked out that he will pay exactly the same amount if he gets the card as he will if he continues to buy tickets at the normal price. Which of the following could be the price and discount for the card?
A $5 for the card and a discount of 10% on ticket prices
B $5 for the card and a discount of 50% on ticket prices
C $10 for the card and a discount of 50% on ticket prices
D $10 for the card and a discount of 80% on ticket prices
Mathematics
1 answer:
Vinvika [58]2 years ago
3 0

Answer:

C or D

Step-by-step explanation:

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MATH HELP
elena-s [515]

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Step-by-step explanation:

Given equation is:

3x+2y = -8

First of all, we have to find the slope of the given line

So,

3x+2y = -8\\2y = -3x-8\\

Dividing both sides by 2

\frac{2y}{2} = \frac{-3x-8}{2}\\y = \frac{-3x}{2} - \frac{8}{2}\\y  =-\frac{3}{2}x-4

As the equation is in slope-intercept form, the co-efficient of x will be the slope of the line

m_1 = -\frac{3}{2}

As we know that product of slopes of two perpendicular lines is -1

Let m-2 be the slope of line perpendicular to given line

m_1.m_2 = -1\\-\frac{3}{2} . m_2 = -1\\m_2 = -1 * -\frac{2}{3}\\m_2 = \frac{2}{3}

Slope-intercept form is:

y = m_2x+b

putting the value of the slope

y = \frac{2}{3}x+b

Putting the point (3,1) in the equation

1 = \frac{2}{3}(3) +b\\1 = 2 + b\\b = 1-2\\b = -1

Putting the value of b

y = \frac{2}{3}x-1

Hence,

The equation of line perpendicular to given line is:

y = \frac{2}{3}x-1

Keywords: Slope-intercept form, slope

Learn more about equation of line at:

  • brainly.com/question/750742
  • brainly.com/question/7419893

#LearnwithBrainly

8 0
3 years ago
Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? Determine the solution set algebr
saul85 [17]
I couldn't put the other graph but they both the intersected at (5,0)

6 0
3 years ago
Read 2 more answers
Which angles shown in the drawing are supplementary?
koban [17]
The first one is supplementary
6 0
3 years ago
Read 2 more answers
23 ones times 2 tens
grandymaker [24]

Answer:

460

Step-by-step explanation:

23x20=460

3 0
2 years ago
Read 2 more answers
What is 3.41 ((with 41 repeating at the end)) as a simplified fraction?
Andre45 [30]

<u>3 41/99. </u>

3.4141414...

100x= 341.4141414...

341.414141414...

- 3.41414141414..= 338

99x= 338/99 or 3 44/99

5 0
3 years ago
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