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irakobra [83]
2 years ago
9

Solve the quadratic equation 3x2 -5x - 7 = 0 to 3sf

Mathematics
1 answer:
Sauron [17]2 years ago
7 0

Answer:

2.57 or -0.907

Step-by-step explanation:

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The dimensions of the tank are 50 cm by 32 cm by 20 cm. The tank is full of water and sand. The ratio of the volume of water to
Sauron [17]

Given:

Dimensions of a tank are 50 cm by 32 cm by 20 cm

The tank is full of water and sand

Ratio of volume of water to the volume of sand is 5:1

To find:

Volume of water in the tank in liters

Solution:

Without loss of generality, let,

Length of tank = 50 cm

Breadth of tank = 32 cm

Height of tank = 20 cm

Then, we have,

Total Volume of the tank = Length * Breadth * Height

\Rightarrow Total Volume = 50*32*20 cc

\Rightarrow Total Volume = 32000 cc

It is given that,

Volume of water : Volume of sand = 5:1

\Rightarrow (Volume of water)/(Volume of sand) = 5/1

Cross multiplying, we have,

Volume of sand = (Volume of water)/5

It is also given that the tank is full of water and sand. This implies that,

Volume of water + Volume of sand = Total Volume

Using the value, we obtained, we get,

Volume of water + (Volume of water)/5 = Total Volume

\Rightarrow (6 * Volume of water)/5 = Total Volume

Plugging in the value of total volume, we get,

\Rightarrow (6 * Volume of water)/5 = 32000 cc

\Rightarrow Volume of water = \frac{32000*5}{6} cc

\Rightarrow Volume of water \approx 26,666.6667 cc

We know that,

1 cc = 0.001 liters

\Rightarrow 26,666.6667 cc = (26666.6667 * 0.001) liters

\Rightarrow 26,666.6667 cc \approx 26.667 liters

Thus, Volume of water in the tank is approximately 26.667 liters

Final Answer:

Volume of water in the tank (in liters) is approximately 26.667 liters

4 0
2 years ago
Find the volume of each prism. Round to the nearest tenth if necessary
bekas [8.4K]
The volume is 216 :)
3 0
3 years ago
Geometry math question no Guessing and Please show work thank you
4vir4ik [10]

here 8x and (2x+60) are corresponding angles

since line l1 and l2 are parallel, so the two angles will be equal

8x=2x+60

8x-2x=60

6x=60

dividing by 6

x=10

option D. 10 is correct

3 0
3 years ago
What is 7 7/9 divided by 4/7
e-lub [12.9K]

Answer:

4 44/49

Step-by-step explanation:

7 7/9 is 70/9

then u use 70/9 multiply by 7/4(I call it keep, change, flip method for division of fraction)

You keep the 1st fraction and because it is a mixed fraction, changing it to improper fraction is easier to solve it later on.

after that, you change the division sign to multiply sign(÷ to ×)

then you flip the 2nd fraction, which means 7/4 becomes 4/7

So overall it becomes 60/7 × 4/7 =240/49,4 44/49 as a mixed fraction.

Answer is 4 44/49

5 0
3 years ago
Round to the nearest whole number 3.713 divided by 0.413
babunello [35]

After the division, we get 8.99031476998. This rounds to <u>9</u> as a whole number, which is the answer.

When rounding to a whole number, the digits following the decimal decide what number it rounds to. If it is 0-4 it rounds to whatever the whole number currently is E.G.

8.1 would round to 8

But if its 5-9 it rounds to one above, like in our current case.

8.5 rounds to 9.

42.414 rounds to 42.

42.94149124 rounds to 43.

7 0
3 years ago
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