From the given ratio, we can get the percentages of the money that Plan G and the arena gets.
Plan G percentage = (2/(2 + 5)) x 100% = 28.57%
Arena percentage = (5/(2 + 5)) x 100% = 71.43%
We then multiply the amount they get by the decimal equivalent of the percentage of the arena.
Amount for arena = (£14,000) x (0.7143) = £10,000.2
Answer:
Step-by-step explanation:
Factorise the denominators of both fractions
x² - 9 and x² - 4 are both differences of squares and factor as
x² - 9 = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as
× 
Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving
Answer:
The length of the pencils is 4.1 inches and for the crayons 1.5 inches
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
let "x" be the length of the pencils
let "y" be the length of the crayons
4 * x + 3 * y = 20.9
5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5
Replacing:
4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9
21.2 - 3.2 * y + 3 * y = 20.9
-0.2 * y = 20.9 - 21.2
y = -0.3 / -0.2
y = 1.5
now for x:
x = (26.5 - 4 * 1.5) / 5
x = 4.1
This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches
Answer:
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Step-by-step explanation:
The answer would be 2 2/3.
