A jar of olives had a circumference of 11.99 cm. what was the approximate diameter of the jar?
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<h2>Systems of Equations Word Problems</h2>
To solve these questions, we can translate key words into operations:
- <em>Difference</em> = subtract
- <em>Twice</em> = double
- <em>Less than</em> = subtract
We're given:
- Difference of Annie's age and twice Carl's age is 22
- Annie's age is 13 less than 3 times Carl's age
There are two variables given two us: Annie's age and Carl's age.
- Let Annie's age be equal to <em>x.</em>
- Let Carl's age be equal to <em>y</em>.
Translate the given information into two equations:
- Difference of Annie's age and twice Carl's age is 22
⇒
- Annie's age is 13 less than 3 times Carl's age
⇒
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:
Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:
Therefore, Grandma Annie is 92 years old.
Because y varies inversely as x, therefore
where k = constant.
When x = 6, y = 2.5. Ther efore
Cross multiply.
k = 6 x 2.5 = 15
The equation is
When x = 4, obtain
Answer: a. 3.75
where k = constant.
When x = 6, y = 2.5. Ther efore
Cross multiply.
k = 6 x 2.5 = 15
The equation is
When x = 4, obtain
Answer: a. 3.75