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Feliz [49]
3 years ago
13

Trina's science club is building bluebird houses to put in the local park. For the first 1/6 dozen bird houses, Trina finds that

they used 3/4 foot of wooden trim. Trina needs to buy enough wooden trim for one dozen bird houses . Write a unit rate that describes how much wooden trim Trina needs.
Mathematics
1 answer:
meriva3 years ago
3 0

<u>Answer:</u>

4.5 foot is needed for a unit dozen bird house

<u>Explanation:</u>

Given Tina saw ¾ foot of wooden trim is being used for  first 1/6 dozen bird houses

Therefore, we can write as,4

1/6 dozen = ¾ foot

For 1 dozen bird houses, we have to use the unitary method

1/6 dozen = ¾ foot  

Therefore, 1 dozen or unit dozen = \frac{\frac{3}{4}}{\frac{1}{6}}

1 dozen = ¾ * 6 = \frac{9}{2} foot = 4.5 foot  

Therefore, 4.5 foot is needed for a unit dozen bird house

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3/4 subtracted from 1/3
Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

Convert to twelfths.  Then subtract.

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Given f(x) = 2x + 9, if f(x) = 15, find x.​
AleksandrR [38]

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

f(x)=2x+9\\\\\text{Substitute}\ f(x)=15:\\\\15=2x+9\qquad\text{subtract 9 from both isdes}\\\\15-9=2x+9-9\\\\6=2x\qquad\text{divide both sides by 2}\\\\\dfrac{6}{2}=\dfrac{2x}{2}\\\\3=x\to x=3

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3 years ago
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
jeka57 [31]

Answer:

111111 \times 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}

First of all, let us solve the first term:

\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111

Now, the right term:

\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111

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1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110

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3 years ago
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-Dominant- [34]
Hello!

In a function, each input has only one output. In A, three has two outputs, 4 and 5, so A is not a function.

In B, you can use something called the vertical line test to see if each x value has one y value as an output. You move an imaginary vertical line across the graph, and if it intersects with two points it is not a function. If we do this on our graph, it will not intersect two points. Therefore, B is a function.

In C, we can see that each input has one output, or there are all different inputs, so C is a function.

For D we can use that vertical line test again. It intersects both the points (-1,1) and (-1,6) so D is not a function

Our final answers are B and C.


I hope this helps!




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