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issacurlyheadka
29.01.2020 •
Mathematics
The diagram shows a fuel gauge in a car.
(a) what fraction does the gauge show?
(b) the fuel tank holds 48 litres when it is full. how many litres must be added to fill the tank?
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Ответ:
So the other 5/8 of the tank is empty.
In order to fill the tank, you'll have to pour in 5/8 of 48 liters.
Can you handle it from there ?
Ответ:
Part a)![\frac{3}{8}](/tpl/images/0482/5164/95a07.png)
Part b)![30\ liters](/tpl/images/0482/5164/fa283.png)
Step-by-step explanation:
Part a) What fraction does the Gauge show?
we know that
Each division in the Fuel gauge represent the fraction![\frac{1}{16}](/tpl/images/0482/5164/301ce.png)
so
To find what fraction the gauge shows multiply
by ![\frac{1}{16}](/tpl/images/0482/5164/301ce.png)
Part b) The fuel tank holds 48 litres when it is full. How many Litres must be added to fill the tank?
we know that
The tank has
of its total capacity
so
To fill the tank must be added![1-\frac{3}{8}=\frac{5}{8}](/tpl/images/0482/5164/8b6b7.png)
therefore
Multiply
by ![48\ liters](/tpl/images/0482/5164/ea450.png)
Ответ:
5x=10
x=2
y=4x
y=8
(2,8)