A paint company charges $5.00 per square foot and a $380.00 flat fee. The company is offering a 10% discount on the total painti
1 answer:
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The system of equations is
Step-by-step explanation:
We can answer this question as follows.
First of all, we call:
t = number of treadmills
b = number of stationary bikes
The two conditions that we have can be translated into equations as follows:
- The gym has a total of 25 treadmills and stationary bikes:
- There are seven more stationary bikes than treadmills:
So the system of equations to solve is
We now solve it in the following way: first, we rewrite the second equation by bringing t on the left side,
Now we add the 1st equation to the 2nd equation:
And therefore,
So, there are 16 stationary bikes and 9 treadmills.
Learn more about systems of equations:
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Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
