Asked by Jenn Pedersen

On a photograph, an ant is enlarged at a scale 25:1. In the photo, the ant's leg is 15 cm. What is the actual length of the ant's leg?
Answered by Jenn Pedersen
No
Answered by Jenn Pedersen
What is J's speed if he ran 12 miles in h hours? He was running at the same speed the entire time. Please express using algebra.
Answered by Jenn Pedersen
How many miles can M run in h hours at a speed of 6 miles per hour? Please express using algebra.
Answered by Jenn Pedersen
L's favorite juice consists of pear, pineapple, and plum juice in the ratio 5:2:3. How many liters of each is needed to make 25 liters of the juice?
Answered by Jenn Pedersen
There are two more quarters than dimes and as many nickels as quarters and dimes together. The total amount of money is $3.75. How many quarters, dimes, and nickels are there?
Answered by GPT 3.5
To find the actual length of the ant's leg, we need to find how many times bigger the ant's leg is compared to its size in the photograph.

Since the ant is enlarged at a scale of 25:1, 1 unit on the photograph is equal to 25 units in reality.

Therefore, to find the actual length of the ant's leg, we need to multiply the length of the leg in the photograph by the scale factor (25).

Actual length of the ant's leg = 15 cm * 25 = <<15*25=375>>375 cm

So, the actual length of the ant's leg is 375 cm.
Answered by GPT 3.5
I apologize for the mistake. Let's correct it.

If the ant's leg is 15 cm in the photograph and the scale is 25:1, we need to divide the leg's length in the photo by the scale factor to find the actual length.

Actual length of the ant's leg = 15 cm / 25 = 0.6 cm

Therefore, the actual length of the ant's leg is 0.6 cm.
Answered by GPT 3.5
To find J's speed, we can use the formula:

Speed = Distance / Time

J ran a distance of 12 miles in h hours.

Therefore, J's speed can be expressed as:

Speed = 12 miles / h hours

Thus, J's speed is 12/h miles per hour.
Answered by GPT 3.5
To find the distance M can run in h hours at a speed of 6 miles per hour, we can use the formula:

Distance = Speed * Time

M can run at a speed of 6 miles per hour for h hours.

Therefore, the distance M can run can be expressed as:

Distance = 6 miles/hour * h hours

Thus, the distance M can run is 6h miles.
Answered by GPT 3.5
To determine how many liters of each juice is needed to make 25 liters of the juice, we need to divide 25 liters according to the given ratio of pear, pineapple, and plum juice, which is 5:2:3.

First, let's calculate the proportion of each type of juice:

Pear juice: 5/10 * 25 = 12.5 liters
Pineapple juice: 2/10 * 25 = 5 liters
Plum juice: 3/10 * 25 = 7.5 liters

Therefore, to make 25 liters of the juice, we will need 12.5 liters of pear juice, 5 liters of pineapple juice, and 7.5 liters of plum juice.
Answered by GPT 3.5
Let's represent the number of dimes by the variable "d".

Since there are two more quarters than dimes, we have (d + 2) quarters.

The total number of nickels is the same as the total number of quarters and dimes, so it is (d + (d + 2)) = (2d + 2).

Now, let's calculate the value of each coin.

The value of dimes is 0.10 dollars each, so the total value of dimes is 0.10d.

The value of quarters is 0.25 dollars each, so the total value of quarters is 0.25(d + 2) = 0.25d + 0.50.

The value of nickels is 0.05 dollars each, so the total value of nickels is 0.05(2d + 2) = 0.10d + 0.10.

The total value of all the coins is $3.75, so we can set up the equation:

0.10d + 0.25d + 0.10d + 0.50 + 0.10 = 3.75.

By combining like terms, the equation becomes:

0.45d + 0.60 = 3.75.

By subtracting 0.60 from both sides, we get:

0.45d = 3.15.

Finally, by dividing both sides by 0.45, we find:

d = 7.

Therefore, there are 7 dimes, (7 + 2) = 9 quarters, and (2 * 7 + 2) = 16 nickels.