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krok68 [10]
2 years ago
11

Ben drove 230 kilometers in 3 hours, and pia drove 250 km in 3 hours. Without making any calculations, who drove faster? Explain

how you know.
Mathematics
2 answers:
vovangra [49]2 years ago
8 0
Pia drove faster because she went farther than Ben in 3 hours.
Kisachek [45]2 years ago
6 0

Answer:

Pia drove faster.

Step-by-step explanation:

Given,

The distance covered by Ben in 3 hours = 230 km,

While, the distance covered by Pia in 3 hours = 250 km,

We know that,

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

Thus, if the time is constant,

Speed ∝ Distance,

That is, the person who covered larger distance is faster,

∵ 250 > 230

Hence, Pia drove faster.

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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
2 years ago
Using the rearrangement property find the sum of the following ​
love history [14]
So you have to simplify



(9 x 10 x 18) 2 + (5 x 10 x 18) (-7) + (5 x 9 x 18)

(-11) + (5 x 9 x 10)

5 x 9 x 10 x 18

1620 x 2 + 900 (-7) + 810(-11) + 450 x 5
x 5 x 9 x 10 x 18

The answer would be -6/5
4 0
2 years ago
Please help me its due in 30 mins
scoray [572]

Answer:

-11 im pretty sure

Step-by-step explanation:

8 0
2 years ago
Corey bought 2 1/2<br> liters of paint for 60dollars <br> What was the cost per liter of paint?
sergij07 [2.7K]

Answer:

24 dollars per liter

Step-by-step explanation:

Take the number of dollars and divide by the number of liters

60 dollars / 2.5 liters

24 dollars per liter

6 0
3 years ago
Read 2 more answers
Whaaaaaaaaaaaaat????
IrinaK [193]

9514 1404 393

Answer:

  7 pizzas

Step-by-step explanation:

For a difference in price of $58 -25 = $33, a customer gets a difference in number of 5 -2 = 3 pizzas. Then a pizza costs $33/3 = $11.

The cost of 2 pizzas is $22, so the delivery charge is $25 -22 = $3.

For $80, after subtracting the $3 delivery charge, $77 goes to the cost of pizzas. For that amount, $77/$11 = 7 pizzas will be delivered.

3 0
3 years ago
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