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Tanzania [10]
3 years ago
7

Which of the following numbers is represented in expanded notation as 6,000 + 200 + 90 + 5?

Mathematics
2 answers:
Papessa [141]3 years ago
8 0

Answer:

6,295

Step-by-step explanation:

just add them

Alinara [238K]3 years ago
4 0

Answer: 0 or 90

Step-by-step explanation:

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Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li
vladimir2022 [97]
As the question states, let r be the number of hours worked at the restaurant, and y be the number of hours of yard work. 
We know that she can only work a maximum of 15 hours per work total, and that at she must work at least 5 hours in the restaurant. 
Therefore:
r + y ≤ 15
r ≥ 5
We also know that she wants to earn at least 120 dollars, earning $8/hr in the restaurant and $12/hr in the yard:
8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at leas 120 hours? 
Lia's parents won't let her work more than 15 hours, so we know that the answer won't be higher than 15.
If she worked all 15 hours in the restaurant, she would make 8*15 = 120.
The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week? 
Lia has to work a minimum of 5 hours in the restaurant. She makes more money doing yard work, so she should devote the rest of her available work hours to yard work.
That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard. 
5*8 + 10*12 = 40 + 120 = 160
The most she can make is 160 dollars, working 5 hours in the restaurant and 10 hours in the yard
7 0
2 years ago
In ΔABC, which trigonometric ratio equals 32?
Nezavi [6.7K]
The given answer should be "3/2", its because "32" is not possible in anyway.. 

tan C = sin C / cos C

Where sin C = 3 / 3.61

And

cos C = 2 / 3.61

Now

tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 / 2) = 3 / 2

<span>Thus tan C is the correct choice.   </span>

6 0
2 years ago
Which ratio is equivalent to 4 : 28?
rusak2 [61]
4 : 28 is the same as 4/28 

4/28 = 1/7 

The answer is C
3 0
2 years ago
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What is the equation for: 32 is the sum of a number x and 9
KengaRu [80]

Answer:

x + 9 = 32

Step-by-step explanation:

answer for x is 32 - 9 = 23

4 0
2 years ago
Julia used 1 foot square stone tiles to make a patio. She laid the tiles in a square, 7 tiles wide by 7 tiles long. What is the
marshall27 [118]

Answer: 49\ ft^2

Step-by-step explanation:

The formula that is used to calculate the area of a square is this one:

A=s^2

Where "s" is the side lenght of the square

You know that Julia used 1 foot square stone tiles, then each side lenght of the this tiles is:

s_{tile}=\sqrt{1\ ft^2}\\\\s_{tile}=1\ ft

Since Julia laid 7 tiles wide by 7 tiles long, the side lenght of the new patio is:

s_{patio}=7(1\ ft)\\\\s_{patio}=7\ ft

Therefore its area is:

A_{patio}=(7\ ft)^2\\\\A_{patio}=49\ ft^2

5 0
3 years ago
Read 2 more answers
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