There are 8 people who do not like reading, and 2 people who do not enjoy playing video games. There is one person who does not like reading or playing video games.
This makes 9 non readers and 3 non gamers.
Ratio is 9:3 which simplifies to 3:1
Answer:
The number of sandwiches sold is 73. This is because it is multiplied by the expression for the money received per sandwich.
The cost to make each sandwich is <em>S. </em>This is stated in the first sentence of the problem.
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The profit is 0.2<em>S. </em>This is because they sell each sandwich for an additional 20% of the cost ( S )
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The amount of money the band receives is (<em>S </em>+ 0.2<em>S </em>). This is because it is the price per sandwich.
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<h3>
Answer: 3.67 centimeters approximately</h3>
Use the law of sines to get this answer
b/sin(B) = c/sin(C)
c/sin(C) = b/sin(B)
c/sin(60) = 3/sin(45)
c = sin(60)*( 3/sin(45) )
c = 3.6742346 approximately
c = 3.67 rounding to nearest hundredth
Make sure your calculator is in degree mode.
Answer:
6) y = x^(5/3)
7) B
8) C
10) A
Step-by-step explanation:
6) The fifth root is the same as raising to the 1/5 power, so we can write this in exponent form as:
f(x) = (x^(1/5))³
f(x) = x^(3/5)
To find the inverse, switch x and y and solve for y.
x = y^(3/5)
y = x^(5/3)
7) f(x) = 2√(x − 4) + 8
Switch the x and y and solve for y:
x = 2√(y − 4) + 8
x − 8 = 2√(y − 4)
(x − 8) / 2 = √(y − 4)
(x − 8)² / 4 = y − 4
(x² − 16x + 64) / 4 = y − 4
¼x² − 4x + 16 = y − 4
y = ¼x² − 4x + 20
8) Find the inverse:
x = 5√(y + 3) − 2
x + 2 = 5√(y + 3)
(x + 2) / 5 = √(y + 3)
(x + 2)² / 25 = y + 3
y = -3 + (x + 2)² / 25
The inverse function is an upwards parabola with a vertex at (-2, -3). The best fit is C.
desmos.com/calculator/fbabg5wc8b
10) √(4x − 31) = x − 7
Square both sides:
4x − 31 = (x − 7)²
4x − 31 = x² − 14x + 49
Combine like terms:
0 = x² − 18x + 80
Factor:
0 = (x − 8) (x − 10)
x = 8 or 10
Check for extraneous solutions.
√(4×8 − 31) = 8 − 7
1 = 1
√(4×10 − 31) = 10 − 7
3 = 3
x = 8 and x = 10 are both solutions.
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