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Anna [14]
3 years ago
7

you are driving to visit a friend in another state who lives 440 miles away. you are driving 55 miles per hour and have already

driven 275 miles. write and solve an equation to find how much longer in hours you must drive to reach your destination
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0
275+55t=440  subtract 275 from both sides

55t=165  divide both sides by 55

t=3

So you will need to drive another 3 hours to reach your destination.
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What is the solution of the system?
spin [16.1K]
The Answer is b: x = 18, y = -20

Proof:

Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{7 x + 5 y = 26 | (equation 2)

Swap equation 1 with equation 2:
{7 x + 5 y = 26 | (equation 1)
{4 x + 3 y = 12 | (equation 2)

Subtract 4/7 × (equation 1) from equation 2:
{7 x + 5 y = 26 | (equation 1)
{0 x+y/7 = (-20)/7 | (equation 2)

Multiply equation 2 by 7:
{7 x + 5 y = 26 | (equation 1)
{0 x+y = -20 | (equation 2)

Subtract 5 × (equation 2) from equation 1:
{7 x+0 y = 126 | (equation 1)
{0 x+y = -20 | (equation 2)

Divide equation 1 by 7:
{x+0 y = 18 | (equation 1)
{0 x+y = -20 | (equation 2)

Collect results:

Answer: {x = 18, y = -20
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It is given in the question that the solid is a cone with height of 16 units and radius of 7 units .

The formula of volume of cone is

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To find the volume, we substitute the given values of r and h and use 3.14 for pi. That is

V = \frac{1}{3} *3.14*7^2 *16 = 820.6 \ units \ cube

And that's the required volume of the cone .

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