Answer:
Kayla has 15 friends
Step-by-step explanation:
You would solve this with simultaneous equations, so if we write it as:
5n + 2p = 9
3n + 2p = 6
(subtract)
2n = 3
÷ 2
notebooks = 1.5
Now you would substitute it in:
(3 × 1.5) + 2p = 6
4.5 + 2p = 6
- 4.5
2p = 1.5
÷ 2
pens = 0.75
So your final answer is notebooks are $1.50 and pens are $0.75, I hope this helps!
Answer:
Parallel
<u>Step-By-Step Explanation:</u>
Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15
6x+3y = 15
3y = -6x + 15
3y/3 = -6x/3 + 15/3
y = -2x + 5
<u>We can see that the slope of 6x+3y = 15 is -2</u>
Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x
y–3=–2x
y = -2x + 3
Here are our two Functions In Slope Intercept Form
y = -2x + 5
y = -2x + 3
<u>Remember the m = slope and the b = y-intercept</u>
y = mx + b
y = -2x + 5
y = -2x + 3
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We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.
The first thing we must do for this case is to see how many representatives from each country attended.
We have then:
Argentines = (1/6) * (120) = 20
Chileans = (1/5) * (120) = 24
Bolivians = (1/4) * (120) = 30
Venezuelans = (1/4) * (120) = 30
Adding we have:
20 + 24 + 30 + 30 = 104
Therefore the number of Americans is:
120-104 = 16
Answer:
16 Americans attended the wind energy conference
Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²






Now to find the value of 'b', i will use law of cosine,


Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
Happy to help :)
If u need any help feel free to ask