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3 years ago

Foston is directly between liberty and west Quall and is 4 inches from liberty on the map .how far is foston from west quall

2 answers:

6 0

IF Foston is directly between this means Foston is y the middle, so there is the same distance from Foston to Liberty and from Foston to West Quall = 4 inches

balu736 [363]3 years ago

4 0

Foston is 4 inches away from west quall on the map. this is so because x, Foston, is in the middle of both places.

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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

Evaluate 48 + 24 ÷ 8 − 22

Licemer1 [7]

Answer:

Using PEMDAS, we would first divide 24/8=3. Then, since there is no multiplication or division left, we can finish up with adding and subtracting. So, 48+3-22=29.

So 29 is the answer.

3 0

3 years ago

Read 2 more answers

Multiply q by r, subtract p from the result, then triple what you have

Annette [7]

3((q*r)-p)

..................

6 0

3 years ago

During the soccer season, Sheka scored 4 goals. Dylan scored 8 times as many goals as Sheka.

horrorfan [7]

Answer:

it's B

Step-by-step explanation:

the text gives you clues "times" is a form of multiplication. therefore it would be 8 TIMES 4

5 0

2 years ago

Read 2 more answers

Xin Used 20 yards of fencing to build the walls of a square a chicken coop. Used 20 yards of fencing to build the walls of a squ

Gnoma [55]

Answer:

Equation: $20=4x$ or $x=\frac{20}{4}$

Solution: $x=5$

Step-by-step explanation:

The formula that is used to calculate the perimeter of a square is:

$P=4s$

Where "s" is the side lenght the square.

Knowing that Xin used 20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:

$P=20\\\\s=x$

Then, you can susbtitute values into the formula $P=4s$ :

$20=4x$

Finally, you must solve for "x" in order to find its value.

This is:

$\frac{20}{4}=x\\\\x=5$

6 0

3 years ago