s - the number of the t-shirts;
h - the number of hats:
The system of equations:
s + h = 23
10 s + 12 h = 246
--------------------------
s = 23 - h
10 * ( 23 - h ) + 12 h = 246
230 - 10 h + 12 h = 246
2 h = 246 - 230
2 h = 16
h = 16 : 2
h= 8
s = 23 - 8
s = 15
Answer: The basketball team sold 15 t-shirts and 8 hats.
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Answer: The balance in the account after 10 years is $3374.65
Step-by-step explanation:
The exponential equation for growth [ compounded continuously] is

, where P= Present value
r= growth rate ( in decimal)
t= time (years)
By considering the given information , we have
p=$2500 r = % =0.03 and t= 10
Substitute all the values in the above equation , we get


[Round to the nearest cent]
Therefore, the balance in the account after 10 years is $3374.65
X=12
Hope this helps
10x-20+6x+8=180º
Answer: The ramp would be 15.5 feet long.
Step-by-step explanation: Please refer to the attached diagram for details.
Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.
SinC = opposite/hypotenuse
Sin 15 = 4/b
By cross multiplication we now have
b = 4/Sin15
b = 4/0.2588
b = 15.4599
Approximately b = 15.5
Therefore the length of the ramp would be 15.5 feet
Answer:
A
Step-by-step explanation:
To write the equation of the line. first calculate the slope using the slope formula.

Since the slope of this line is 0, it is horizontal and has the form y=b where b is the y-coordinate. So y = 2 is the equation. In general form, it would be y-2 = 0