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barxatty [35]
3 years ago
12

5-3(2x-7)=2(7-3x)

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0

Step-by-step explanation:

Part 1: 4x + 7 = 3(2x - 5)4x+7=3(2x−5)

4x+7=6x-154x+7=6x−15

7=6x-15-4x7=6x−15−4x

7=2x-157=2x−15

7+15=2x7+15=2x

22=2x22=2x

22=2x / 222=2x/2

x=11x=11

Part 2: Sam is not correct because he messed up the second step. He added 2x on both sides to get 7x, instead he should have subtracted.

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Greg swam 4 kilometers against the current in the same amount of time it took him to swim 16 kilometers with the current. The ra
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Answer:

5 kmph

Step-by-step explanation:

Given: Greg swam 4 kilometers against the current.

            Greg swam 16 kilometers with the current.

            Rate of the current was 3kmph.

Lets assume the speed of greg swimming with no current be "x".

∴ Speed of swimming against current= (x-3)\ kmph

   Speed of swimming with current= (x+3)\ kmph

As given, it took same amount of time to swim both with current and against current.

∴ Forming an equation to find the value of x, which is speed of greg swimming with no current.

We know, Time= \frac{Distance}{Speed}

⇒ \frac{4}{(x-3)} = \frac{16}{(x+3)}

Multiplying both side by (x+3) and (x-3)

⇒4\times (x+3)= 16\times (x-3)

Using distributive property of multiplication.

⇒ 4x+12= 16x-48

Subtracting both side by 4x and adding by 48.

⇒60= 12x

Dividing both side by 12

⇒x= \frac{60}{12} = 5\ kmph

Hence, Greg can swim at the rate of 5kmph with no current.

7 0
4 years ago
If angle 1 and angle 2 are supplementary angles, and angle 3 and angle 2 are supplementary angles, what do you know about angle
dusya [7]

Answer:

  angle 1 and angle 3 are congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.

_____

If you like, you can get there algebraically:

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Subtract the second equation from the first:

  (m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)

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When angle measures are the same, the angles are congruent.

  ∠1 ≅ ∠3

4 0
4 years ago
Which of the following expressions has a value of 3? -6 divided -2, 4 -(-1),(-1)(-3), (-2) - 1, 15 divided by -5, 4 + 1
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Answer:

(-1)(-3)

Step-by-step explanation:

When two negatives are multiplied it always equals a positive making it the only one that equals positive 3.

4 0
4 years ago
Choose the correct simplification of the expression (2x^2y^6z^5)(5x^4y^5z^3)
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<span>2 x^2 y^6 z^5
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6 0
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Answer:

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