The total costs of the studios are the same after 4 hours
<h3>How to determine the number of hours?</h3>The complete question is added as an attachment
From the question, we have:'
<u>Cost of studio</u>
Studio A = $10
Studio B = $16
<u>Hourly rate</u>
Studio A = $8
Studio B = $6.5
The total cost is then calculated as:
Total cost = Cost of studio + Hourly rate * Number of hours
So, we have:
y = 10 + 8x
y = 16 + 6.5x
Equate both equations
10 + 8x = 16 + 6.5x
Evaluate the like terms
1.5x = 6
Divide by 1.5
x = 4
Hence, the total costs of the studios are the same after 4 hours
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Answer:
(x + 5) m
Step-by-step explanation:
From the question given above, the following data were obtained:
Area (A) = (x² + 8x + 15) m²
Width (W) = (x + 3) m
Length (L) =?
The lenght of the rectangle can be obtained as follow:
A = L × W
x² + 8x + 15 = L (x + 3)
Divide both side by x + 3
L = x² + 8x + 15 / x + 3
L = (x + 5) m
Please attached photo for explanation.
Therefore, the length of the rectangle is: (x + 5) m
9514 1404 393
Answer:
b ≈ 2.7
Step-by-step explanation:
The missing angle A is ...
A = 180° -53° -80° = 47°
The law of sines tells you ...
b/sin(B) = a/sin(A)
b = sin(80°)×2/sin(47°) ≈ 2.6931
Side b is about 2.7 units.
