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3 years ago

Practice Finding the Area of a Polygon

Mathematics

1 answer:

vfiekz [6]3 years ago

4 0

Answer:

ebbbbbbbbvc gdf

Step-by-step explanation:

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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

3 years ago

Solve this .....................

ycow [4]

Answer:

Step-by-step explanation: 3root5x^2 + 25x - 10root5 = 0

3xroot5 + 25x - 10root5 = 0 [ root x^2 = x]

28x root5 = 10 root5 [ -10root5 turns to 10 root5 when transferred to RHS]

28x root 5/root5 =10

28x=10

x = 10/28

x = 0.35

Hope it helped u,

pls mark as the brainliest

^v^

5 0

3 years ago

The difference between a number x and 3 is at least nine Write an inequality for the following sentence.

dybincka [34]

Answer:

3 - x ≥ 9

Step-by-step explanation:

At least in inequality means greater than or equal to (≥)

Difference in mathematics means subtraction

The difference between a number x and 3

3 - x

is at least nine

3 - x ≥ 9

The inequality for the sentence is

3 - x ≥ 9

6 0

3 years ago

Correct option*<br> PLEASE HELP I WILL GIVE BRAINLIEST

Kryger [21]

Answer:

The answer is A

Step-by-step explanation:

3 0

3 years ago

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A test tube initially holds 25 bacteria. The population of bacteria in the test tube doubles each hour. Without making a graph,

9966 [12]

5 hours because 800/25=32 32= 2^5 25 X 1 = 25 25 X 2 = 50 AFTER FIRST HOUR 25 X 2^5 = 800 AFTER FIFTH HOUR

5 0

3 years ago

Read 2 more answers