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Ksivusya [100]
3 years ago
8

A music recording studio charges a flat fee of $45.00 plus $8.50 per hour to record your music.Another recording studio charges

$27.59 plus $11.00 an hour to record music.Find the number of hours for which costs are the same

Mathematics
1 answer:
ANEK [815]3 years ago
5 0

Let, after t hours costs are the same.

Mathematical equation of charges taken by first studio :

y=45+8.5t

Mathematical equation of charges taken by second studio :

y=27.59+11t

So,

45+8.5t=27.59+11t\\\\2.5t=17.41\\\\t=6.964\ hours

Therefore, after 6.964 hours cost of both studio is same.

Hence, this is the required solution.

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a centroid separates a median into two segments. which of the following is the ratio of the length of the shorter segment to the
olga2289 [7]
The answer is 2:1.

The centroid separates the median, or the point from the midpoint of a side of a triangle with its opposite angle, at a ratio of 2:1, meaning that one segment is 1/3 the length of the median and the other segment is 2/3 the length of the median. 
3 0
3 years ago
I need help with number 3
Lynna [10]
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The area of a circle is: πr²
78.54 in² divided by pi is 25 making the radius = 5

I would then use SOH CAH TOA to solve for the side.. knowing the hypotenuse is the radius and the angle to split it into a right triangle is 30°

Sin(30) = s/5
5*Sin(30) = s

12*s = perimeter hexagon
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6 0
3 years ago
What does -6(-7 - 3k)
Zina [86]
Here, Just apply Distributive property which tells, a(b + c) = ab + bc
So, -6(-7 - 3k) = 42 + 18k

In short, Your Answer would be 42 +18k

Hope this helps!
4 0
3 years ago
The price of a gallon of milk increased from $5.50 to $7.50. Describe the price increase as a percent.​
sweet [91]

Step-by-step explanation:

7.50= (1 + x/100 ) × 5.50

7.50/ 5.50 = 1+x/100

x/100 = 0.36

x= 36.36%

6 0
3 years ago
Six students collect buttons for a project. The students have 10, 14, 15, 12, 13, and 14 buttons. They divide the buttons evenly
vovangra [49]

Answer:

13 buttons

Step-by-step explanation:

The first step is to add the buttons received by the 6 students.

= 10 + 14 + 15 + 12 + 13 + 14

= 78 buttons

Therefore the number of buttons received by each students can be calculated as follows

= 78/6

= 13 buttons

Hence each student will receive 13 buttons

6 0
2 years ago
Read 2 more answers
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