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2 years ago

If 2 sides of a triangle measure 6 and 16 find the range for the 3rd side

Mathematics

1 answer:

tangare [24]2 years ago

8 0

Step-by-step explanation:

Range if third side is in between 10-22

Reason:

For the lowest value of third side 16-6= 10

For the highest value if third side 16+6= 22

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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. 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.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

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 a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

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 414 tax returns for free.

8 0

3 years ago

Joshua has $560. He wants to buy a laptop that costs $320 as well as a case for the laptop that costs $65 and is currently on sa

Igoryamba

Answer:$154.73

Step-by-step explanation:

Take 65 and multiple .15 and that will give you the 15% off of the case. When u do that you get 9.75 so then 65-9.75= 55.25 multiply .08 for the sales tax on the case = 4.42 add to 55.25= 59.67 then add the sales tax for the laptop 320 multiplied by .08 = 25. 60 for a total of 345.60 then add that to 59.67 = 405.27 then u have to subtract that from 560 and Josh has $154.73

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3 years ago

What is the slope of the equation 3x - 4y = 32? -3/4 -8 3/4 8

Thepotemich [5.8K]

Answer:

y=34x−8

Step-by-step explanation:

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3 years ago

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Janice is dividing 1.92 divided by 6. Why does she exchange the place value blocks shown for 18 tenths and 12 ones ?

olga2289 [7]

9 Godinez me. 333 12

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3 years ago

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Troy had 44 celery sticks on a tray for his party. He put peanut butter on 25% of the celery sticks. How many celery sticks on t

GarryVolchara [31]

Hello!

We know that any given percentage can be expressed as a fraction with a denominator of 100, as follows:

$\frac{x}{100}$

Because we want to find 25% of the celery sticks, we can convert this percentage into the following fraction:

$\frac{25}{100}$ = $\frac{1}{4}$

Now multiply this reduced fraction by the number of celery sticks:

44 × $\frac{1}{4}$ = $\frac{44}{4}$

The fraction $\frac{44}{4}$ can be reduced to a value of 11. We have now proven that 11 celery sticks received peanut butter.

I hope this helps!

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3 years ago