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Oksi-84 [34.3K]
3 years ago
7

Please help me. 5(m-7)=-8(3m+8)

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

m = -1

Step-by-step explanation:

Solve for m:

5 (m - 7) = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

5 m - 35 = -8 (3 m + 8)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

5 m - 35 = -24 m - 64

Hint: | Move terms with m to the left hand side.

Add 24 m to both sides:

24 m + 5 m - 35 = (24 m - 24 m) - 64

Hint: | Look for the difference of two identical terms.

24 m - 24 m = 0:

24 m + 5 m - 35 = -64

Hint: | Group like terms in 24 m + 5 m - 35.

Grouping like terms, 24 m + 5 m - 35 = (5 m + 24 m) - 35:

(5 m + 24 m) - 35 = -64

Hint: | Add like terms in 5 m + 24 m.

5 m + 24 m = 29 m:

29 m - 35 = -64

Hint: | Isolate terms with m to the left hand side.

Add 35 to both sides:

29 m + (35 - 35) = 35 - 64

Hint: | Look for the difference of two identical terms.

35 - 35 = 0:

29 m = 35 - 64

Hint: | Evaluate 35 - 64.

35 - 64 = -29:

29 m = -29

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 29 m = -29 by 29:

(29 m)/29 = (-29)/29

Hint: | Any nonzero number divided by itself is one.

29/29 = 1:

m = (-29)/29

Hint: | Reduce (-29)/29 to lowest terms. Start by finding the GCD of -29 and 29.

The gcd of -29 and 29 is 29, so (-29)/29 = (29 (-1))/(29×1) = 29/29×-1 = -1:

Answer: m = -1

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3 years ago
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A boat travels at 15 km/hr in still water. In travelling 45 km downstream from town A to town Bit completes the journey in 75 mi
Crank
Let the speed of river be x   km/hr down stream.

Time = Distance / speed

Since river flows downstream,  speed of boat down stream = Speed of boat + speed of river =  (15 + x).

 Since river flows downstream,  speed of boat upstream = Speed of boat - speed of river =  (15 - x).

Time Upstream - Time Downstream = 75 minutes

Time Upstream =  45 / (15 - x)

Time Downstream =  45 / (15 + x)

75 minutes = 75/60  =  5/4 hours

Time Upstream - Time Downstream = 75 minutes = 5/4 hours

45 / (15 - x)    -    45 / (15 + x)  = 5/4          Divide both sides by 45

1 / (15 - x)    -    1 / (15 + x)  = (5/4)*(1/45)

 1 / (15 - x)    -    1 / (15 + x)  = 1/36

((15 + x) - (15 -x)) / (15-x)(15+x)  = 1/36

(15 +x - 15 +x) / (15-x)(15+x)  =  1/36

  2x / (15-x)(15+x)  = 1/36

 (15-x)(15+x) = 2x*36

(15-x)(15+x) = 72x

225 - x² = 72x

0 =  x² + 72x -225

x² + 72x -225 = 0            This is a quadratic function, use a calculator that can solve the function, by inputting the function.

x = 3, or -75.  Since we are solving for speed, we can not have negative values.

x = 3 is the only valid solution.

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Copyright.
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I need help with answering this equation
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Answer:

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the THIRD CHOICE...

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Step-by-step explanation:

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A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
Fittoniya [83]

The wrestler gained 5.20 kilograms per month.

Step-by-step explanation:

Let,

x be the weight gained every month.

y be the original weight before weight gain.

According to given statement;

0.5x+y=80.6   Eqn 1

2x+y=88.4    Eqn 2

3.5x+y=96.2    Eqn 3

Subtracting Eqn 1 from Eqn 2

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Dividing both sides by 1.5

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The wrestler gained 5.20 kilograms per month.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/4459688
  • brainly.com/question/4460262

#LearnwithBrainly

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