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denis-greek [22]
3 years ago
13

Tyrone works at a diner, as both a cashier and a host. He earns $7.95 per hour no matter which job he does. Tyrone wants to buy

a new guitar that costs $238.50. The manager of the diner needs him to work for 18 hours next week as a cashier. If Tyrone wants to buy the guitar next week, how many hours would he need to work as a host? Explain in your essay the steps you would take to write and solve an algebraic equation, and using an arithmetic method. Compare and Contrast the sequence of operations you used in each approach. Did you get the same answer both times? (P.S its not really an essay but a long paragraph)
Mathematics
1 answer:
Sergio [31]3 years ago
4 0

Here is my "essay" paragraph :P

Arithmetic method:

I would first find how much he would gain by working 18 hours as a cashier.

This is 18*7.95 or 144-0.90=143.10 dollars. Next, I would take this value away from 238.50 and get 238.50-143.10=95.40. Now I would divide this by 7.95 to get 12.

Algebraic method:

To make an equation, let's call the number of hours he works as a host x.

Then we get the equation 238.50 = (18 * 7.95) + (x * 7.95). Factor a 7.95 out on the right side, to get 238.50 = (18 + x) * 7.95. Now divide 7.95 on both sides to get 30 = 18 + x, so x = 12.

I got the same answer both ways, and my work was pretty much the same.

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skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.
Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T        O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T       B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = \left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]

= a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] +b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] +c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]

therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

8 0
3 years ago
How to solve x+3y=3 and 2x-3y=-12
Sever21 [200]
Get x on one side then you can use substitution
So, change x+3y=3 to x= -3y+3
Then plug in x to other equation to find y
2(-3y +3)-3y=-12
-6y + 6 -3y = -12
-9y = -18
Divide both sides by negative nine to find y
y = 2
Then plug in to original equation to find x
x + 3(2) = 3
x + 6 = 3
x = -3
So, y = 2 and x = -3
3 0
3 years ago
Read 2 more answers
Solve for X...........
Zolol [24]

Answer:

x = 60°

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

<u>Geometry</u>

  • A box on an angle signifies a 90° angle
  • All angles in a triangle add up to 180°

Step-by-step explanation:

<u>Step 1: Set up equation</u>

x° + 90° + 30° = 180°

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Combine like terms:                    x + 120 = 180
  2. Subtract 120 on both sides:        x = 60°
6 0
2 years ago
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You define a function f(x) which gives the cost of buying x packages of cookies. You are asked for the domain of the function. That is, what values can x take on? x is the number of packages bought.

It makes no sense to buy a negative number of packages. It also makes no sense to buy 1/2 a package or 3/4 of a package as the store won’t sell you a fraction of a package. Try going to the store and buying half a package of oreo cookies. I doubt you’ll get very far :)

So it makes sense to buy 0, 1, 2, 3, 4, ... boxes of cookies. These are whole numbers. So the domain is the set of whole numbers. You could also write the domain like this {0, 1, 2, 3, ...} making sure to use the curly brackets as those denote a set. 



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3 years ago
Which is a parallelogram but not a rectangle?
Alinara [238K]
I’m pretty sure that your answer is the last one
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2 years ago
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