Make XY tables for each option.
If any of the Tables have identical X numbers it is not a function.
The first option has two X's that re 2, so is not a function.
Second option has 2 x's that are 4's, so is not a function.
The third option has no repeating X values so is a function.
The fourth option has two -2's and two 0's so ids not a function.
The function is the third choice:
On a coordinate plane, solid circles appear at the following points: (negative 3, 2), (negative 2, 2), (0, 1), (1, 3), (2, negative 4), (4, negative 1).
Answer: 36.67 grams of water is added.
Step-by-step explanation:
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
so, it becomes,
![\frac{5}{5+x}=\frac{12}{100}\\\\100\times 5=12(5+x)\\\\500=60+12x\\\\500-60=12x\\\\440=12x\\\\\frac{440}{12}=x\\\\36.67\ g=x](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B5%2Bx%7D%3D%5Cfrac%7B12%7D%7B100%7D%5C%5C%5C%5C100%5Ctimes%205%3D12%285%2Bx%29%5C%5C%5C%5C500%3D60%2B12x%5C%5C%5C%5C500-60%3D12x%5C%5C%5C%5C440%3D12x%5C%5C%5C%5C%5Cfrac%7B440%7D%7B12%7D%3Dx%5C%5C%5C%5C36.67%5C%20g%3Dx)
Hence, 36.67 grams of water is added.
Answer: The answer is C or Median
Step-by-step explanation:
In order to solve the formula
![C=\pi d](https://tex.z-dn.net/?f=C%3D%5Cpi%20d)
in terms of d, you simply have to divide both sides by pi:
![d=\dfrac{C}{\pi}](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7BC%7D%7B%5Cpi%7D)
The total height of the earring is the sum of the diameters of the circles. Given their circumferences, the diameters are
![d_1=\dfrac{6}{\pi},\quad d_2=\dfrac{8}{\pi}](https://tex.z-dn.net/?f=d_1%3D%5Cdfrac%7B6%7D%7B%5Cpi%7D%2C%5Cquad%20d_2%3D%5Cdfrac%7B8%7D%7B%5Cpi%7D)
So, the total height is
![h=d_1+d_2=\dfrac{6}{\pi}+\dfrac{8}{\pi}=\dfrac{14}{\pi}](https://tex.z-dn.net/?f=h%3Dd_1%2Bd_2%3D%5Cdfrac%7B6%7D%7B%5Cpi%7D%2B%5Cdfrac%7B8%7D%7B%5Cpi%7D%3D%5Cdfrac%7B14%7D%7B%5Cpi%7D)
Brad have 19 quarters and 27 nickels.
Step-by-step explanation:
Given,
Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents
One quarter = 25 cents
One nickel = 5 cents
Let,
x represent the number of quarters.
y represent the number of nickels.
According to given statement;
25x+5y=610 Eqn 1
y = x+8 Eqn 2
Putting value of y from Eqn 1 in Eqn 2
![25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570](https://tex.z-dn.net/?f=25x%2B5%28x%2B8%29%3D610%5C%5C25x%2B5x%2B40%3D610%5C%5C30x%3D610-40%5C%5C30x%3D570)
Dividing both sides by 30
![\frac{30x}{30}=\frac{570}{30}\\x=19](https://tex.z-dn.net/?f=%5Cfrac%7B30x%7D%7B30%7D%3D%5Cfrac%7B570%7D%7B30%7D%5C%5Cx%3D19)
Putting x=19 in Eqn 2
![y=19+8\\y=27](https://tex.z-dn.net/?f=y%3D19%2B8%5C%5Cy%3D27)
Brad have 19 quarters and 27 nickels.
Keywords: linear equation, subtraction
Learn more about subtraction at:
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