<span><span>If one variable is always the product of the other and a constant, the two are said to be directly proportional. <span>x and y</span> are directly proportional if the ratio <span>y/x</span> is constant.</span><span>If the product of the two variables is always a constant, the two are said to be inversely proportional. <span>x and y</span> are inversely proportional if the product xy is constant.</span></span>In mathematics<span>, two variables are </span>proportional<span> if a change in one is always accompanied by a change in the other, and if the changes are always related by use of a constant multiplier. The constant is called the </span>coefficient<span> of proportionality or </span>proportionality constant<span>.
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Answer:
<em>123 pens in Box A</em>
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
X^3=1/8
x=(1/8)^(1/3)
x=1/2
Answer:
A
Step-by-step explanation:
Find the mean:
Day 1: 2
Day 2: 1
Day 3: 4
Day 4: 5
Day 5: 0
Day 6: 7
Mean = 
This does not exceed a daily mean of 3.5 hours which was set by her mom as a guideline.
Therefore we can conclude that:
"Chawrdi complied with the guideline because the mean number of hours played is .
Answer: x=3/5
Step-by-step explanation:
