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2 years ago

15

Pick the correct answer Help me please thank you :)

1 answer:

Andrej [43]2 years ago

4 0

Answer: D
Steps: In partially legible pic below. Sorry not the best 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

Rate of change from the line

Ghella [55]

$\textbf{Answer:}$

$\frac{-1}{4}$

$\textbf{Step-by-step explanation:}$

$\frac{y2 - y1}{x2 - x1}$

$\textrm{Use the formula above to determine the rate of change}$

$\frac{1 - 2}{4 - 0} \rightarrow\frac{-1}{4}$

$\textrm{The rate of change of this line is }$ $\frac{-1}{4}$

6 0

3 years ago

Read 2 more answers

Please help me with geometry

sladkih [1.3K]

Answer:

A. If the side lengths are the same, then a triangle is not scalene.

Step-by-step explanation:

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

Simply stated, any polygon with three (3) lengths of sides is a triangle.

In Geometry, a triangle is considered to be the most important shape.

Generally, there are three (3) main types of triangle based on the length of their sides and these include;

I. Equilateral triangle: it has all of its three (3) sides and interior angles equal.

II. Isosceles triangle: it has two (2) of its sides equal in length and two (2) equal angles.

III. Scalene triangle: it has all of its three (3) sides and interior angles different in length and size respectively.

6 0

3 years ago

Which of the four is it?

Anna11 [10]

Answer:

option 1 i believe

Step-by-step explanation:

just worked it out

i hope this is right and helps <3

6 0

3 years ago

Solve and type in a different form by using the given theorems of logarithms

scoray [572]

$\log\left(\frac{10}{y}\right) = \log(10) - \log(y)$

The general rule is

$\log\left(\frac{A}{B}\right) = \log(A) - \log(B)$

Other log rules are

$\log(AB) = \log(A) + \log(B)$

$B\log(A) = \log(A^B)$

4 0

3 years ago