Using a proportional relationship, we have that:
- The table is completed as follows: x = 4, y = 192; x = 6, y = 288; x = 9; y = 432;
- 6 boxes are not enough for 300 pencils, 7 are needed.
<h3>What is a direct proportional relationship?</h3>
A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality k, as follows:
y = kx.
From the table in this problem, the constant is given as follows:
k = 240/5 = 48/1 = 48.
Hence the relationship is:
y = 48x.
Then:
- When x = 4, y = 48(4) = 192.
- When x = 6, y = 48(6) = 288.
- When x = 9, y = 48(9) = 432.
For 300 pencils, the number of boxes is given by:
48x = 300
x = 300/48
x = 6.25.
There are not decimal parts of a box, a complete box is needed, hence 7 boxes are needed, meaning that 6 boxes are not enough for 300 pencils.
More can be learned about proportional relationships at brainly.com/question/10424180
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Yes because the result of a number solved in an absolute value will always be positive. So you are correct. :)
Answer:
100 cm² or 314.16 cm²
Step-by-step explanation:
First, you should find the radius of the circle, which is half the diameter.
r = 10 cm
The area of the circle = r²
So you just need to plug in and multiply everything.
A = 10²
= 100 cm²
Usually, you can leave it in terms of pi, but otherwise
= 314.16 cm²
Answer:
$ 2.167
<h3>
Step-by-step explanation:</h3>
Let the cost of a pencil be x and that of a pen be y.
A pen costs <u>twice</u> as much as a pencil.
==> cost of a pen = 2 × cost of a pencil
==> <u>y = 2x</u>
Their total cost is $6.50
==> x + y = $6.50
<em>since</em><em> </em><em>y</em><em> </em><em>=</em><em> </em><em>2</em><em>x</em><em>,</em><em> </em><em>substituting</em><em> </em><em>y</em><em> </em><em>for</em><em> </em><em>2</em><em>x</em>
==> x + 2x = 6.50
==> 3x = 6.50
<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em>
==> x = 2.16
As per our assumption, x is the cost of one pencil.
Therefore, the cost of a pencil is <u>$2.16</u><u>7</u>