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4 years ago

a miniature railway increased its prices by 25% to £1.50 how much did it cost to visit the railway before

Mathematics

2 answers:

MAVERICK [17]4 years ago

6 0

The answer is 112.5

type 150 divide by 100 times 25
minus that from 150
and it gives you the answer

nadezda [96]4 years ago

4 0

Let x be the previous price.
So, the equation is the following: $x+0.25x=1.5$
Solve the above equation for x like this:
$x(1+0.25)=1.5\\x1.25=1.5\\x=\frac{1.5}{1.25}=1.2$

The price before was £1.2

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What are all the fractions that are between 1/2 and 1.

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Answer:

2/4, 3/5,3/4, 2/3,13/25, 27/50 11/20, 14/25, 29/50,31/50, 63/100,16/25,33/50,17/25,7/10,18/25,37/50,19/25,77/100,39/50,4/541/50, 83/100, 21/25 , 17/20, 43/50 , 87/100,22/25,9/10, 91/100, 23/25, 93/100, 47/50, 19/20 , 24/25 97/100, 49/50,99/100(note that I did not state all the fractions between 1/2 and 1)

Step-by-step explanation:

Firstly one half(1/2) represents 0.50 as a decimal and 1 would be 1.00

This is like saying finding Fractions that give you percentages between 50% and 100%

for example:

you could simplify 52/100 and get 31/50

31/50 as a decimal would be 0.52 and 0.52 falls between(0.50 and 1.00) 1/2 and 1

example 2: 89/100= 0.9 (same as0.90) and [90/100] is same as 9/10 = 0.9

0.90 or 0.9 (zero point nine) is not the same as 0.09(zero point zero nine

If you are using a casio calculator, you can simplify the fraction by putting in your numerator then pressing |a b/c| button then enter the denominator, then the calculator should simplify the fraction, if the fraction remains the same, this means that it cant be further simplified.if your calculator has

| a b/c| then you can also use it.

or use an online calculator or simplify if you wish

To <em>find the decimal of that fraction you can simply divide the numerator by the denominator, Example; 82/100 is same as 0.82 and 41/50 is same as 0.82.</em>

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What is the percent of increase from 5 to 6 by using a percent sign.

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Part 3: Use the information provided to write the vertex formula of each parabola. Please show the work

rodikova [14]

Answer: 1. y = 2(x + 4)² - 3

$\bold{2.\quad y=-\dfrac{1}{3}(x+8)^2-7}$

$\bold{3.\quad y=-\dfrac{1}{2}(x-7)^2+1}$

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

Notes: The vertex form of a parabola is y = a(x - h)² + k

(h, k) is the vertex
p is the distance from the vertex to the focus

$\bullet\quad a=\dfrac{1}{4p}$

$\text{Vertex}=(-4,-3)\qquad \text{Directrix}:y=-\dfrac{25}{8}\\\\\text{Given}:(h, k)=(-4, 3)\\\\p=\dfrac{-24}{8}-\dfrac{-25}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2$

Now input a = 2 and (h, k) = (-4, -3) into the equation y = a(x - h)² + k

y = 2(x + 4)² - 3

******************************************************************************************

$\text{Vertex}=(-8,-7)\qquad \text{Directrix}:y=-\dfrac{-25}{4}\\\\\text{Given}:(h, k)=(-8, -7)\\\\p=\dfrac{-28}{4}-\dfrac{-25}{4}=\dfrac{-3}{4}}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-3}{4})}=\dfrac{1}{-3}=-\dfrac{1}{3}$