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Zinaida [17]
3 years ago
8

A number divided by –8 is 7. Equation: Steps: Solution:

Mathematics
2 answers:
jonny [76]3 years ago
8 0

Answer:

-56

Step-by-step explanation:

Let the said number be x, so

x / -8 = 7

That's the equation

On solving further, we cross multiply to have

x = -8 * 7

x = -56

That means the number is -56

vovikov84 [41]3 years ago
3 0

Answer:

.

Step-by-step explanation:

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4 years ago
Simplify the following expressions <br> 1/4 (24-16x)<br><br> what is the sum?<br> 7/4 + (-1/5)
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3 years ago
Two cars left the city for a suburb, 480 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
zlopas [31]

Answer:

  • <u>80km/h and 60km/h</u>

Explanation:

<u>1. Data:</u>

i) Distance traveled by the cars:

  • d = 780 km

ii) Speed of the cars:

  • v₁ and v₂
  • v₁ = v₂ + 20 km/h

iii) Time to arrive at the suburb:

  • t₂ - t₁ = 2 hour ⇒ t₂ = t₁ + 2

<u>2. Equations:</u>

  • speed = distance / time

        time  = distance / speed

  • t₂ = 480 / v₂
  • t₁ = 480 / v₁ = 480 / (v₂ + 20)

               t₂        -       t₁                =  2 hour

               ↓                 ↓                    ↓

           480/v₂    -  480/ (v₂ + 20) =  2

             

<u>3. Solve the equation</u>

     480(v₂ + 20) - 480(v₂) =  2 × (v₂ + 20) (v₂)

     240(v₂ + 20) - 240(v₂) =  (v₂ + 20) (v₂)

     240v₂ + 4800 - 240v₂ =  (v₂)²  + 20v₂

      (v₂)²  + 20v₂ - 4800 = 0

      (v₂ + 80) (v₂ - 60) = 0

      v₂ = - 80

      v₂ = 60

Only the positive solution has physical meaning:

  • v₂ = 60km/h                                      ← answer
  • v₁ = 60km/h + 20km/h = 80km/h     ← answer
5 0
3 years ago
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