Suppose that 13 inches of wire costs 84 cents.
At the same rate, how much (in cents) will 33 inches of wire cost?
To find the cost of 33 inches of wire, we can set up a proportion based on the given information: 13 inches costs 84 cents.
Using the proportion, we can set up the following equation:
13 inches / 84 cents = 33 inches / x cents
To solve for x (the unknown cost), we can cross-multiply and solve for x.
13 * x = 33 * 84
x = (33 * 84) / 13
x ≈ 213.23
Therefore, 33 inches of wire will cost approximately 213.23 cents.
Jessica drove 715 miles in 13 hours.
At the same rate, how long would it take her to drive 275 miles?
To find out how long it would take Jessica to drive 275 miles, we can set up a proportion based on the given information: 715 miles in 13 hours.
Using the proportion, we can set up the following equation:
715 miles / 13 hours = 275 miles / x hours
To solve for x (the unknown time), we can cross-multiply and solve for x.
715 * x = 275 * 13
x = (275 * 13) / 715
x ≈ 5
Therefore, it would take Jessica approximately 5 hours to drive 275 miles at the same rate.
Jim made $234 for 13 hours of work.
At the same rate, how much would he make for 9 hours of work?
To find out how much Jim would make for 9 hours of work at the same rate, we can set up a proportion based on the given information: $234 for 13 hours.
Using the proportion, we can set up the following equation:
$234 / 13 hours = x / 9 hours
To solve for x (the unknown amount), we can cross-multiply and solve for x.
$234 * 9 = 13 * x
$2106 = 13 * x
Divide both sides of the equation by 13:
x = $2106 / 13
x ≈ $162
Therefore, Jim would make approximately $162 for 9 hours of work at the same rate.
To find out how much 33 inches of wire will cost, we need to set up a proportion using the given information.
Let's set up the proportion as follows:
13 inches of wire costs 84 cents.
So, the price per inch of wire is given by the ratio:
84 cents / 13 inches.
Now, we can find out how much 33 inches of wire will cost by using this ratio.
Let x represent the cost of 33 inches of wire.
Therefore, the equation is:
84 cents / 13 inches = x cents / 33 inches.
We can solve this equation by cross-multiplying.
13 inches * x cents = 84 cents * 33 inches.
Now, we can simplify the equation:
13x = 2772.
To solve for x, we divide both sides of the equation by 13:
x = 2772 / 13.
So, 33 inches of wire will cost 2772 / 13 cents.
Now, we can calculate the exact value:
x = 213.8 cents.
Therefore, 33 inches of wire will cost 213.8 cents.
To find out how much 33 inches of wire will cost at the same rate, we need to set up a proportion based on the given information.
Let's assume that the cost of the wire is directly proportional to its length. This means that the cost per inch of wire is constant.
First, we need to determine the cost per inch of wire. We can do this by dividing the total cost by the total length: 84 cents / 13 inches = 6.46 cents/inch (rounded to two decimal places).
Now that we know the cost per inch of wire, we can use it to find the cost of 33 inches of wire. We can set up the proportion:
(cost of 33 inches of wire) / 33 inches = (cost per inch of wire) / 1 inch
Let's solve for (cost of 33 inches of wire):
(cost of 33 inches of wire) = 33 inches × (cost per inch of wire)
Substituting the value of the cost per inch of wire we calculated earlier:
(cost of 33 inches of wire) = 33 inches × 6.46 cents/inch
Now let's calculate the cost of 33 inches of wire:
(cost of 33 inches of wire) = 215.18 cents
Therefore, 33 inches of wire will cost 215.18 cents.