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MariettaO [177]
3 years ago
14

Shawn is starting a woodworking project for which he needs a large number of 2x4s. He plans to buy 2x4s that are 6 feet in lengt

h and cut them into the following sizes: eight pieces that are 12.5 inches long • six pieces that are 8.75 inches long • nine pieces that are 6.25 inches long Note: A 2x4 ("two by four") is a rectangular piece of wood that is two Inches high and four inches wide, as shown in the picture. It can have varying lengths. The 2x4s that Shawn is buying have a length of 6 feet, or 72 inches. 6' or 72" 2" 4" Find the most efficient way for Shawn to cut these pieces. In other words, what is the fewest number of boards he can cut from? Describe for Shawn the most efficient way to cut his boards. You may include a diagram if you wish.​
Mathematics
1 answer:
Reika [66]3 years ago
8 0

Answer:

The fewest amount number of boards Shawn can cut from is 3.... Im not very sure... Ive been stuck on this answer, too

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Terbium-160 has a half-life of about 72 days.
Nastasia [14]
For the half-life of a certain substance, the equation that would best represent the scenario is,
                             At = Ao(0.5^t/n)
where At is the amount at any time t, Ao is the original amount, and n is half-life. Substituting the known values,
                            At = (220 mg)(0.5^(396/72)
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5 0
3 years ago
Use technology to solve for x. <br><br><br>2^x−8=3x−9 <br><br><br>What are the solutions?
vlabodo [156]

Answer:

x=1 and x=3

Step-by-step explanation:

let : f(x) = 2^x−8  and g(x) = 3x−9

the graph of g color red   and the graph of f color bleue

the solutions are 1 and 3

7 0
3 years ago
Suppose that a biker bikes into the wind for 84 miles and it takes him 7 hours. After a long rest, he returns (with the wind on
Jobisdone [24]

Answer:

Speed of the biker is 13 mph and that of wind is 1 mph.

Step-by-step explanation:

Given:

Time taken by the biker to cover a distance is 7 hrs when he was travelling against the speed of the wind.

Time taken to cover same distance is 6 hours when he was travelling with the speed of the wind.

We have to find the speed of the biker and that of the wind.

Let the speed of the biker is "b" mph

And the speed of the wind is "w" mph

As we know:

Distance = Product of speed and time

Re-arranging the above situation in terms of equation.

⇒ (b-w)\times 7 = 84                          ⇒ (b+w)\times  6 =84

⇒ 7b-7w=84       ...(i)                   ⇒ 6b+6w=84...(ii)

Multiplying equation (i) with 6 and equation (ii) with 7 so that we can eliminate one variable that is "w" after adding both the equation.

⇒ 42b-42w=504 equation (iii)

⇒ 42b+42w=588 equation (iv)

⇒ Adding both the equations.

⇒ 84b=1092

⇒ b=\frac{1092}{84}

⇒ b=13 mph.

Speed of the biker is 13 mph.

⇒ Plugging b=13 in equation (ii),we have:

⇒ 6b+6w=84

⇒ 6w=84-6b

⇒ 6w=84-6(13)

⇒ 6w=84-78

⇒ 6w=6

⇒ w=\frac{6}{6}

⇒ w=1 mph.

Speed of the biker is 13 mph and the speed of the wind is 1 mph whenever the biker is with the speed of the wind the biker's speed increases by 1 mph and subsequently decreases when he is against the speed of the wind.

3 0
3 years ago
How do I factorise 4 + 6x. Please show working out as well as answer, thanks!
Vaselesa [24]

Answer:

2(2 + 3x).

Step-by-step explanation:

The greatest common factor of 4 and 6x is 2, so we divide by 2 to get the factors:

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4 + 6x

= 2(2 + 3x).

8 0
3 years ago
What common factor of each term in the expression 2b+5b? ​
mixas84 [53]

Answer:

b(2+5)

Step-by-step explanation:

6 0
3 years ago
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