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KatRina [158]
3 years ago
14

Mr. Trainer is building a bookcase. He has two wooden boards that are each 8 feet long. He needs to cut the wooden boards into p

ieces that are 16 inches long. What is the greatest number of 16-inch pieces that Mr. Trainer can cut from the two wooden boards? (1 foot = 12 inches)
Mathematics
1 answer:
love history [14]3 years ago
8 0

Answer:

12

Step-by-step explanation:

Length of one of the boards = 8 feet

Converting to inches

1\ \text{foot}=12\ \text{inches}\\\Rightarrow 8\ \text{feet}=8\times 12=96\ \text{inches}

One cut is 16 inches

So, we divide the length of the board by 16

\dfrac{96}{16}=6

So, one board is cut into 6 pieces.

The other board is also 8 feet long.

So, the number of pieces the other board is cut into is also 6.

Hence, a total of 6+6=12 pieces of each 16 inches long can be cut from the two boards.

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Zapisz w jak najprostszej postaci:<br> a) -x-4(1-x)<br> b) 3(5x-2)-5(3-4x)<br> c) √2(3-x)-2(1-x√2)
Sonja [21]

Answer:

Step-by-step explanation:

a) -x-4(1-x)  =

− 2 x −4 ( 1 − x ) .

2 x − 4

b) 3(5x-2)-5(3-4x)  =

3 ⋅ (5 x − 2 ) − 5 ⋅ ( 5 − 4 x )

35 x  −  31

c) √2(3-x)-2(1-x√2) =

√ 2 x ⋅ ( 3 −x ) − 2 ⋅( 1 − x √ 2 ) .

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4 0
3 years ago
Help pleaseeeeee desperate
elena-s [515]
B can be either 2/3 or -2/3
5 0
3 years ago
A rectangle is 12 feet long and 5 feet wide. If the length of the rectangle is increased by 25% and the width is decreased by 20
lisabon 2012 [21]

Answer:

30 square feet.

Step-by-step explanation:

We have to find the main area of the rectangle to determine the changes.

We know, Area of a rectangle = Length × Width

Given,

Length = 12 feet

Width = 5 feet

Therefore, the area of the rectangle = (12 × 5) Square feet.

The area of the rectangle = 60 square feet.

Now, if the length of the rectangle increased by 25%, the new length would be = 12 feet (12 feet × 25%) = 12 feet + 3 feet = 15 feet.

If the width increased by 20%, the latest width would be = 5 feet + (5 feet × 20%) = 5 feet + 1 foot = 6 feet.

The new area of that rectangle = (15 × 6) square feet = 90 square feet.

The changes of area from the previous rectangle is = (90 - 60) square feet = 30 square feet.

5 0
3 years ago
A) a clockwise rotation of 270 degrees about the origin
8090 [49]

Answer:

C. A reflection over the y-axis

Step-by-step explanation:

The correct answer would be choice "C" because first off, you can see that the shape hasn't grown/shrink. We can also see that it doesn't seemed to have rotated, otherwise it would be flipped in a certain direction. So, now we're left with a reflection over the y-axis/reflection over x-axis.

If the shape had reflected over the x-axis, it would be in the lower quadrants of the graph, since it would be flipped over a horizontal line. But instead, the shape has flipped to the left, making it a reflection over the y-axis.

7 0
3 years ago
4(x+3)=3(3x-1)
zhuklara [117]
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3 years ago
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