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Goshia [24]
3 years ago
7

Use the given x and y values to write a direct variation equation. x = 2, y = 30

Mathematics
2 answers:
exis [7]3 years ago
5 0

Answer:

y = 15x

Step-by-step explanation:

Given x and y are in direct variation then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 2, y = 30, then

30 = 2k ( divide both sides by 2 )

15 = k

y = 15x ← equation of variation

Dovator [93]3 years ago
4 0

Answer:

y = 15x

Step-by-step explanation:

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The length of the hypotenuse of a 30°-60°-90° triangle is 16. What is the perimeter?
Tresset [83]

Answer:

-126

Step-by-step explanation:

I used a calculator:3

5 0
2 years ago
Two fair coins are flipped. Given that at least one coin lands on a head, calculate the probability of one head and one tail. Wr
Greeley [361]

The probability of one head and one tail is 2/3.

<u>Step-by-step explanation</u>:

  • The possibilities for flipping two fair coins are {T,T}, {H,H}, {H,T}, {T,H}
  • Given the case that at least one coin lands on a head, So the total possibilities are {H,H}, {H,T}, {T,H} = 3 possibilities
  • Required event is 1 head and 1 tail= {H,T}, {T,H} = 2 possibilities

To calculate the probability of one head and one tail,

Probability = required events / Total events

Probability = 2/3

8 0
3 years ago
What is the distance between the points (-3,-11 and (-3,23) in the coordinate plane?
11111nata11111 [884]
Distance= the square root of (x2-x1)^2 +(y2-y1)^2 so (-3-(-3))^2 + (23-(-11))^2= 0^2+34^2=
0+1156= 1156 and the square root of that is 34 so your final answer is 34
6 0
3 years ago
Jim earns $1,600 per month after taxes. He is working on his budget and has the first three categories finished.
Stells [14]
Marcus has created a budget for his upcoming trip to the theme park. Admission is 40% of the budget. He plans to spend 32% of his money on food, 23% on 
7 0
3 years ago
Which are solutions of the equation x^2- 16 = 0? Check all that apply
stealth61 [152]

Answer:

x= -4

x= 4

Step-by-step explanation:

This is a quadratic equation, and can be solved very quickly since it only has two terms, the square one and the free term.

Hence the solutions is obtained following the steps from below:

x2-16=0

Lets sum to both side 16

x2-16=0+16

x2=16

Now, lets apply square root to whole equation:

\sqrt{x^{2} }=\sqrt{16}

x=|4|

The bars means that x can be-4 o 4, since -4^2=16 and 4^2=16

9 0
3 years ago
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