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gulaghasi [49]
2 years ago
11

Find the square of 2a plus 3b​

Mathematics
2 answers:
anzhelika [568]2 years ago
7 0

Here is your answer!!

andriy [413]2 years ago
6 0

Answer:

= 4a^{2} + 12ab + 9b^{2}.

Step-by-step explanation:

(2a+3b)^{2}

= (2a + 3b) (2a + 3b)

= 4a^{2} + 6ab + 6ab + 9b^{2}

= 4a^{2} + 12ab + 9b^{2}.

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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>.


8 0
3 years ago
2a^2-5a=3 solve by factoring
Amiraneli [1.4K]

Answer:

a=−1/2, 3

3Step-by-step explanation:

6 0
2 years ago
1. Jillian Knits hats for her family and friends. In the week, she knits 4 hats, the next week, she has some help and together,
alexandr1967 [171]

Question 1: If shes making 4 hats alone and then Quadruples it shes making 16 hats per week if she quadruples it again she will be knitting 64 hats per week.

4x4=16

16x4=64hats

Question 2: There is an error because 5x5x5 = 5³

Question 3: 2⁴ - 8 x 2 / 4 = 12

2⁴ = 16  - 8 x 2 / 4

8x2 = 16

16/4 = 4

16-4 = 12

7 0
3 years ago
4.4 + (4 × 14 + 8.6)
Sedaia [141]

4.4 + (4 × 14 + 8.6)

Follow the order of operations (PEMDAS).

4.4+(56+8.6)

4.4+(64.6)

answer: 69

6 0
2 years ago
Read 2 more answers
100 point!!!
jok3333 [9.3K]

Answer:

45 grams

Step-by-step explanation:

1st order: 27 people

15 people:

100 g

Ginger: 20 g

Turmeric: 25 g

Coriander: 35 g

Cumin Seeds: 20 g

20+25+35+20=60+40=100

For 1 person:

Ginger: 1 1/3 g

Turmeric: 1 2/3 g

Coriander: 2 1/3 g

Cumin Seeds: 1 1/3 g

Multiply all that by 27

For 27 people:

Ginger: 36 g

Turmeric: 45 g

Coriander: 63 g

Cumin Seeds: 36 g

45 g for Turmeric

4 0
3 years ago
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