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Mathematics

1 answer:

EastWind [94]2 years ago

5 0

13.

<3 = 180 - <1

<3 = 180 - 90

<3 = 90°

14.

<8 = 180 - <6

<8 = 180 - 137

<8 = 43°

15.

<4 = 180 - <2

<4 = 180 - 34

<4 = 146°

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Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per pe

nirvana33 [79]

Ok , with that information we can write the equations
x + y = 6
5x + 4y = 28

Where x = how many people ordered chicken
and y = how many people ordered egg salad

Through elimination , we can set one of the variables in both equations equal so we can eliminate it :

(4)x + (4)y = (4)6
5x + 4y = 28

4x + 4y = 24. equation 1
5x + 4y = 28. equation 2

Now we can subtract the second equation by the first equation and isolate one variable:
equation 2 - equation 1

5x - 4x + 4y - 4y = 28 - 24

x = 4

Now that we discovered our x value ( How many people ordered chicken salad ) , we can apply it to one of the equations and discover y ( how many people ordered egg salad)

x + y = 6
x= 4
4 + y = 6

We can shift 4 to the other side of the equation by subtracting 4 from both sides of the equation:
4 - 4 + y = 6 - 4
y = 2

x=4 and y=2

So the awnser is :
4 people ordered chicken salad and 2 people ordered egg salad!

I hope you understood my brief explanation!!

p.s if you want to know how to use another method to solve these problems ( Substition) , just let me know in a comentary down here

5 0

3 years ago

Simplify 2 (n+1) + n² + 4 (n-3)

Gala2k [10]

2 (n+1) + n² + 4 (n-3)
= 2n + 2 + n² + 4n - 12 ...expand by using distributive property
= n² + 6n - 10 ...combine like terms

hope it helps

4 0

3 years ago

Read 2 more answers

If f(x)= 5x, what is f^-1(x)?

Helen [10]

Step-by-step explanation:

$f( x) {}^{ - 1} \\ f(x) = 5x \\ y = 5x \\ x = 5y \\ y = \frac{x}{5} \\ f(x) {}^{ - 1} = \frac{x}{5}$