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2 years ago

Help thanks in advance !

Mathematics

1 answer:

lutik1710 [3]2 years ago

7 0

Answer:

Take your product denominator and divide it by the original. 48÷8=6

Since the denominator was increased by a scale factor of 6, the numerator must also be increased by a scale factor of 6 in order to keep the 2 fractions equal. 7×6=42

Hence, your answer is 42/48

Hope this helps?

Answer: 42

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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

Use 3.14 for π<br> Please help if you can!<br> Any help is appreciated!

Alex777 [14]

Answer:

The answer to your question is 23.42 ft

Step-by-step explanation:

Data

base = 6 ft

height = 4 ft

Process

1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.

Length = 6 + 4 + 4

Length = 14 ft

2.- Calculate the Perimeter of the semicircle

Formula

Perimeter = 2πr/2 = πr

-Calculate the radius

radius = 6/2 = 3 ft

-Find the perimeter

Perimeter = 2(3.14)(3)/2

-Result

Perimeter = 9.42 ft

3.- Calculate the perimeter of the window

Perimeter = 14 + 9.42

= 23.42 ft

3 0

3 years ago

Someone help on this one please

vova2212 [387]

Answer:

B. Multiply each x-value in the table by -1.

Step-by-step explanation:

A point reflected across the y-axis has the same y-value, but the x-value is replaced by its opposite. For example, (-2, -31) reflected across the y-axis becomes (2, 31).

The appropriate choice is ...

... B. Multiply each x-value in the table by -1.

_____

<em>Comment on the graph</em>

The purple points are the ones in the given table. The red points are the same with their x-coordinate multiplied by -1. You can see that they are the reflection of the purple points across the y-axis. The lines joining the points are to help you see the points and which data set they are in.