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mafiozo [28]
3 years ago
6

Kenya pays $66.32 biweekly for health insurance , which is 18% of the total cost. Her employer pays the rest. What is the employ

er’a annual contribution for Kenya’s health insurance
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer: $55.39

Step-by-step explanation:

Multiply 18% or 0.18 by the 66.32. With that number you get subtract it by the 66.32 to get your answer

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Read 2 more answers
Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

7 0
3 years ago
What is the percent of the discount for a $60 item that sells for $45?
goblinko [34]

Answer:

75%

Step-by-step explanation:

45/60 x X/100

45x100

4500/60

75%

4 0
3 years ago
The sum of two numbers is 31.The product of the two numbers is 150. What are the two numbers?
Nikolay [14]
The two numbers I will call x and y.
x + y = 31
x * y = 150

You then solve for one variable in either equation and substitute it into the other equation.

x + y = 31
x = 31 - y

Then you plug it in:
x * y = 150
(31 - y) * y = 150
-y² + 31y = 150
y² - 31y + 150 = 0            Then factor:
(y - 6)(y - 25) = 0
y - 6 = 0        y - 25 = 0
y = 6             y = 25

When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)
5 0
3 years ago
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