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Zepler [3.9K]
3 years ago
14

Deandre drove 715 miles in 13 hours.

Mathematics
2 answers:
lana66690 [7]3 years ago
6 0

Answer:

11

Step-by-step explanation:

first divide 715 and 13, which is 55

then you divide 605 and 55, which is 11

so he drove 605 miles in 11 hours.

jok3333 [9.3K]3 years ago
5 0

Answer:

The time it would take Deandre to drive 605 miles is 11 hours.

Step-by-step explanation:

The problem is related to speed, distance and time.

Speed (or rate) of an object is the measure of how rapidly the object moves form point A to point B.

It is computed by dividing the distance traveled by the time taken to travel this distance. That is,

Speed=\frac{distance}{time}

It is provided that Deandre drove distance=715 miles in time=13 hours.

Then the speed at which Deandre was driving can be computed as follows:

Spped=\frac{distance}{time}\\ =\frac{715}{13}\\ =55

Thus, Deandre's speed was 55 miles/hour.

Now, if Deandre needs to drive 605 miles at the same speed, i.e 55 miles/hour, then the time taken will be,

Speed=\frac{distance}{time}\\time=\frac{distance}{speed}\\=\frac{605}{55}\\ =11

Thus, the time taken by Deandre to drive 605 miles at the speed 55 miles/hour is, 11 hours.

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Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don
blagie [28]

Given:

  • $35 is charged per form, but $0 if only the easiest form is filed.
  • $2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
  • Total amount charged for the full year = $7245
  • Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. <u>Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.</u>

So,

<u>Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group</u>


Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621


Conclusion:

Sterre has filed <u>a total of 621 tax returns</u> (both charged and for free).

Of these 621 returns filed, <u>for 207 forms, Sterre charged $35</u>.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed <u>414 tax returns for free</u>.


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