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pishuonlain [190]
3 years ago
15

100 points. Easy question. Topic: Fractions. ONLY COMPLETE QUESTION 1

Mathematics
2 answers:
Basile [38]3 years ago
6 0

Answer: 1/4 full.

Step-by-step explanation:

The question is asking for how much gas will be left in the tank after 2/3 of the gas in the tank is used.

There is currently 3/4 of the tank remaining.

To find 2/3 of 3/4, you can multiply the fractions together.

Do this by multiplying both numerators and both denominators:

\frac{2}{3} *\frac{3}{4} = \frac{2*3}{3*4} = \frac{6}{12}

Then, subtract 6/12 from 3/4. You can do this by simplifying the first fraction to 2/4 (divide both the numerator and denominator by 3).

3/4 - 2/4 = 1/4

There will be 1/4 of the tank left.

zhuklara [117]3 years ago
6 0

Answer:

1/4

Step-by-step explanation:

We have 3/4 of a tank

We will use 2/3 of the  gas in the tank

See the diagram  That will leave us 1/4

Mathmatically

3/4*2/3 = 2/4 =1/2  this is the amount that is used

Subtract this from the amount in the tank

3/4 -1/2

3/4 -2/4 = 1/4

This is the amount that is left in the tank

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Answer:

Since pair of opposite sides are parallel and adjacent sides meets at right angles, the quadrilateral COAT is a rectangle.

Step-by-step explanation:

The vertices of the given quadrilateral is C(2,0),O(7,0),A(7,2),T(2,2)

It is sufficient to show that pair of opposite sides are parallel and adjacent sides are perpendicular.

The slope of each side can be found using the formula;


m=\frac{y_2-y_1}{x_2-x_1}


Slope of CO,

M_{CO}=\frac{0-0}{7-2}=\frac{0}{5} =0

A line with a zero slope is a horizontal line.


The slope of OA,

M_{OA}=\frac{2-0}{7-7} =\frac{2}{0}

This slope is undefined.

A line with an undefined slope is a vertical line.

This shows that,the side CO and OA of the quadrilateral meets at right angle.


The slope of AT,

M_{AT}=\frac{2-2}{7-0}=\frac{0}{5}=0


This is also a horizontal line.

The slope of TC,


M_{TC}=\frac{2-0}{2-2} =\frac{2}{0}


This also a vertical line.


This implies that, side TC and side AT meets at Tat right angles and TC is parallel to OA.

Also AT is parallel to TO.


This shows that COAT is a rectangle.

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