Mathematics, 18.07.2019 12:30 GTYT9972

Atank is 4/5 full of water. after drawing off 190 litres of water it is just 1/6 full. what is the capacity of the tank?

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Answer from: toxsicity

300 liters

Step-by-step explanation:

The capacity of the tank is unknown, so we call it x.

The tank starts 4/5 full, so the amount of water in the tank is 4/5 x.

190 liters of water are drawn from the tank, so now the tank has

4/5 x - 190 liters of water left.

We are told that the amount of water left is 1/6 of the capacity of the tank, so the tank now has 1/6 x of water.

4/5 x - 190 = 1/6 x

We now solve the equation for x, the capacity of the tank.

We need a common denominator for 5 and 6. We can use the LCD of 5 and 6 which is 30.

Multiply both sides of the equation by the LCD to eliminate the fractions.

30(4/5 x) - 30 * 190 = 30 * 1/6 x

30/5 * 4x - 5700 = 5x

6 * 4x - 5700 = 5x

24x - 5700 = 5x

Subtract 5x from both sides. Add 5700 to both sides.

19x = 5700

Divide both sides by 19.

x = 300

300 liters

Answer from: Quest

I'm just guessing, but my answer would c. 0 to 300.

Answer from: Quest

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.

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