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Grace [21]
3 years ago
15

Jim’s average speed is 8 km/h while walking and 12 km/h while jogging. It takes him 0.5 h longer to walk from the school to the

pool than it takes him to jog the same distance. How far is it from the school to the pool?
Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

12 km

Step-by-step explanation:

Using the formula <em>rate × time = distance:</em>

Jogging = 12 km/h × x = 12x

Walking = 8 km/h × (x + 0.5) = 8x + 4

Setting the two terms equal:

12x = 8x + 4

Subtracting 8x from both sides:

4x = 4

Dividing both sides by 4:

x = 1

Therefore, it takes 1 hour of jogging or 1.5 hours of walking to travel from the school to the pool. Thus, they are 12 km [12 km/h × 1 h <em>or</em> 8 km/h × 1.5 h] apart.

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klasskru [66]

Step-by-step explanation:

perimeter \: of \: rectangle \\  = 2(17.8 + 13.4) \\  = 2 \times 31.2 \\  = 62.4 \: cm \\  \\ area \: of \: rectangle \\  =17.8 \times 13.4 \\  = 238.52 \:  {cm}^{2}  \\

8 0
3 years ago
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(x-2)(x² – 8x+7)=0<br> Please help me with the steps
allsm [11]

Answer:

x1 = 1, x2 = 2, x3 = 7

Step-by-step explanation:

(x-2) x (x² -8x + 7) = 0

When the product of factors equals , at least one factor is 0.

x-2=0

x² -8 + 7=0

Solve the equation for X.

x-2=0

x=2

x² -8+7=0

x=7

x=1

The final solutions are

x1 = 1, x2= 2, x3=7

6 0
4 years ago
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Help -8(9n-10) -20 a. 90n+54 b. -72n+60 c. -17n – 80 d. -160n
Anna [14]

Answer:

1)  -8(9n-10) - 20

-72n + 80 - 20

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4) -17n - 80

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3 0
3 years ago
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A car is moving at a fixed speed. The distance D that the car covers is then directly proportional to the time T it moves.
worty [1.4K]

We were told that the distance D is directly proportional to the time T.

We write this mathematically as,

D\propto T


We can now introduce our constant of variation and write the equation for the direct equation as;


D=kT


where k is the constant of variation or constant of proportionality.


We substitute D=20 and T=15, in to the equation of variation to obtain the constant of proportionality.


That is;


20=k\times15



This implies that,




\frac{20}{15}=k


This simplifies to give us,




k=\frac{4}{3}


Now our equation of proportion becomes,



D=\frac{4}{3}


When T=20



D=\frac{4}{3}\times20


D=\frac{80}{3}

Writing this as a mixed number we obtain,

D=26\frac{2}{3}

This can also be rewritten as

D=26.67 correct to one decimal places.


Therefore the care covers 26.67 miles in 20 minutes.





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3 years ago
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DochEvi [55]

Answer:

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Step-by-step explanation:

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