Rodolpho uses a prepaid gas card to spend $35 each week for gas. After the first week, he has $140 left on the card. After every
1 answer:
Answer:
C=175-35t
Step-by-step explanation:
Each week - $35
After the 1st week - has $140 left
So, at the beginning of the first week he has $140+$35=$175 on the card.
Now,
Initial amount of monay = $175
Spent each week= $35
Number of weeks = t
Spent in t weeks =$35t
The cash balance C on his card after t weeks =$175-$35t (left)
So, the equation is
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Answer:
p = 4
Step-by-step explanation:
The usually recommended procedure for solving a proportion is to "cross multiply", then divide by the coefficient of the variable. (Solve the remaining one-step equation.)
<h3>Cross multiply</h3>This means multiply both sides of the equation by the product of the denominators:
(15/6)(6p) = (10/p)(6p) . . . . "cross multiply"
15p = 60 . . . . . . simplify
<h3>Second step</h3>Now, divide by the coefficient of the variable.
15p/15 = 60/15
p = 4
The solution is p = 4.
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<em>Additional comment</em>
If the variable is in the <em>numerator</em> of the proportion, using cross multiplication, you will find that you end up multiplying and dividing by the other denominator. To solve it in that case, you only need to multiply by the denominator under the variable.
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For example, to solve ...
2/5 = p/10
you only need to multiply by 10. You don't need to multiply by 50, then divide by 5.
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Any proportion can be written 4 ways:
This suggests another strategy: invert the whole proportion, then solve it as one with p in the numerator:
6/15 = p/10 ⇒ p = 10(6/15) = 4