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Alexus [3.1K]
3 years ago
12

last year the cost of a season ticket for a rugby club £370. This year the cost of a season ticket for the club has been increas

e to £450. write down the increase in the cost of season ticket as a fraction of last years cost.
Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

\frac{80}{370} OR \frac{8}{37}

Step-by-step explanation:

So first you find the difference between the new cost and the old cost:

450 - 370  = 80

So the increase was 80.

When you write it as a fraction you write the increase ( 80 ) over the starting cost ( 370 ).

Thus the answer becomes \frac{80}{370}

But you can always reduce it to its lowest terms thus:

\frac{8}{37}

HOPE THIS HELPED

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What is the approximate distance between points A and B?
Aleks04 [339]

Answer:

\displaystyle d \approx 7.62

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

  • Distance Formula: \displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A(1, 4)

Point B(-2, -3)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance<em> d</em>

  1. Substitute in points [DF]:                    \displaystyle d = \sqrt{(-2-1)^2+(-3-4)^2}
  2. (Parenthesis) Subtract:                       \displaystyle d = \sqrt{(-3)^2+(-7)^2}
  3. [√Radical] Exponents:                        \displaystyle d = \sqrt{9+49}
  4. [√Radical] Add:                                   \displaystyle d = \sqrt{58}
  5. [√Radical] Evaluate:                           d = 7.61577
  6. Round:                                                 \displaystyle d \approx 7.62
3 0
3 years ago
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katen-ka-za [31]

This is known as Einstein's proof, not because he was the first to come up with it, but because he came up with it as a 15 year old boy.

Here the problem is justification step 2.  The written equation

BC ÷ DC = BC ÷ AC

is incorrect, and wouldn't get us our statement 2, which is correct.

For similar triangles we have to carefully pair the corresponding parts to get our ratios right:

ABC ~ BDC means AB:BD = BC:DC = AC:BC so BC/DC=AC/BC.

Justification 2 has the final division upside down.


7 0
3 years ago
Find the equation of the line through (8,−6) which is perpendicular to the line y=x3−7.
ycow [4]

Answer:

y = (-1/3)(x + 10)

Step-by-step explanation:

The slope of the new (perpendicular) line is the negative reciprocal of the slope of the given line, which appears to be 3.  Thus, the perpendicular line has the slope -1/3.

Using the slope-intercept form y = mx + b, and substituting the givens, we obtain:

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Multiplying all three terms by 3 removes the fraction:

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The desired equation is    

y = (-1/3)x - 10/3, or

y = (-1/3)(x + 10)

8 0
3 years ago
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