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fgiga [73]
2 years ago
15

Mr. Tola has a piece of wood that is 8 1/4 feet in length. He wants to cut it into pieces that are each 3/4 foot in length. How

many 3/4 foot pieces of wood can mr. Tola make?
Mathematics
2 answers:
Talja [164]2 years ago
8 0

Answer:

11 pieces.

Step-by-step explanation:

In order to make this happen, you need to divide the total length of the wood by the length that he needs, so it would be 8 1/4 feet by 3/4 of foot:

\frac{8\frac{1}{4} }{\frac{3}{4} } =\frac{\frac{33}{4} }{\frac{3}{4} }\\\frac{4(33)}{(3)(4)} \\\frac{132}{12}=11

So now we know that he will get 11 piecesof 3/4 of foot out of the 8 1/4 feet long piece of wood.

Len [333]2 years ago
5 0

Answer:

11 pieces.

Step-by-step explanation:

We must divide 8 1/4 by 3/4

8 1/4 = 33/4

Dividing:

33/4 / 3/4

= 33/4 * 4/3

= 33/3

= 11.

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Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
KatRina [158]

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

3 0
2 years ago
A 6 ft board is cut into two pieces, on twice as long as the other. How long are the pieces?
disa [49]

Answer:One is 2 feet and one is 4 feet

Step-by-step explanation:

8 0
2 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
yawa3891 [41]
F(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
f(x)=3 x^{2} +6x-8, written in vertex form is
y=3 (x+1)^{2} -11, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}


5 0
2 years ago
Read 2 more answers
If AB is parallel to CD and the slope of CD is -5, what sis the slope of AB?
Lady bird [3.3K]

Answer:

The answer is D. -5

Step-by-step explanation:

Since AB is parallel to CD, their slopes are the same. Parallel actually means to have the same slope.

7 0
2 years ago
Read 2 more answers
A rectangle has a height of w^2+3w+9w 2 +3w+9w, squared, plus, 3, w, plus, 9 and a width of w^2+2w 2 +2w, squared, plus, 2. Expr
Keith_Richards [23]

Answer:

w⁴+5w³+17w²+24w +18

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length  = w²+3w+9

width = w²+2w+2

Area of the rectangle = (w²+3w+9)(w²+2w+2)

Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)

Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18

Collect the like terms;

Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18

Area of the rectangle = w⁴+5w³+17w²+24w +18

Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18

4 0
2 years ago
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