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2 years ago

4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...

Mathematics

1 answer:

kirill115 [55]2 years ago

7 0

Answer: x=0

Step-by-step explanation:

Multiply both sides of the equation by 35, the least common multiple of 5,7.

7×4x−5×3x=5×4x+5×5x

Multiply 7 and 4 to get 28.

28x−5×3x=5×4x+5×5x

Multiply −5 and 3 to get −15.

28x−15x=5×4x+5×5x

Combine 28x and −15x to get 13x.

13x=20x+25x

Combine 20x and 25x to get 45x.

13x=45x

Subtract 45x from both sides

13x−45x=0

Combine 13x and −45x to get −32x

−32x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since −32 is not equal to 0, x must be equal to 0.

X=0

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Dave drove 55 mph for part of the trip and 60mph for the rest. The 245 mile trip took him 4 hours 12 minutes. How long did the 2

Lady_Fox [76]

Answer:

<u>Dave drove 168 miles during the 2nd part of the trip</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Dave for part of the trip = 55 mph

Speed of Dave the rest of the trip = 60 mph

Total time of the round trip = 4 hours 12 minutes

Total distance of the trip = 245 miles

2. How far did Dave drive during the 2nd part of his trip?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Distance = Speed * Time

x = Time of part of the trip

4 hours 12 minutes - x = Time of the rest of the trip

4.2 hours - x = Time of the rest of the trip

Now, we can write solve for x, this way:

55 * x + 60 (4.2 - x) = 245

55x + 252 - 60x = 245

-5x = 245 - 252

-5x = -7

x = -7/-5 = 7/5 = 1.4 ⇒ 4.2 - x = 2.8

1st part of the trip = 55 * 1.4 = 77 miles

2nd part of the trip = 2.8 * 60 = 168 miles

<u>Dave drove 168 miles during the 2nd part of the trip and 77 miles during the 1st part</u>

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3 years ago

If a temperature in degrees Celsius this is given as C finding the sum of 1.8 timesC and 33 gives the temperature in degrees Fah

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3 years ago

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3 years ago

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h is the x value of the center and k is the y value of the center and r is the radius.

Replace h, k and r with the given information:

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2 years ago

What method most efficient to use to solve x^2+4x+3=0

Alik [6]

My recommendation would be to factor..
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3 years ago

4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...​

4x/5 - 3x/7 = 4x/7 + 5x/7 can anyone please help with explanation...