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s344n2d4d5 [400]
3 years ago
12

Hugh brought some magazines that cost $3.95 each and some some books that cost $8.95 each. He spent a total of $47.65 let m repr

esent the number of magazines and b represent the number of books. Which equation models the situation
Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

3.95m + 8.95b = 47.65

Step-by-step explanation:

From this problem, you get quite a handful of information.

The variable "m" represents the # of magazines Hugh bought.

The variable "b" represents the # of books Hugh bought.

One magazine [m] cost $3.95

One book [b] cost $8.95

The total cost of books and magazines is $47.65

Based on the information, you can create an equation with two variables, representing the total cost and how many of each magazine and book Hugh bought.

If one magazine cost $3.95, the amount of money he spent on magazines can be represented by 3.95m.

If one book cost $8.95, the amount of money he spent of magazines can be represented by 8.95b.

And lastly, if the total cost of magazines and books Hugh bought is $47.65, the following equation can be made:

3.95m + 8.95b = 47.65

So, "3.95m + 8.95b = 47.65" is the correct equation. I hope this helps! :)

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Solve the system of equations.
guajiro [1.7K]

Answer:

<u>Option b. (x = 3, y = 20, z = -14)</u>

Step-by-step explanation:

Given:

2x + 2y + 3z = 4

5x + 3y + 5z = 5

3x + 4y + 6z = 5

Solve using Cramer’s rule

∴ \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] =\left[\begin{array}{ccc}4\\5\\5\end{array}\right]

∴A = \left[\begin{array}{ccc}2&2&3\\5&3&5\\3&4&6\end{array}\right] = -1

Ax = \left[\begin{array}{ccc}4&2&3\\5&3&5\\5&4&6\end{array}\right] = -3

Ay = \left[\begin{array}{ccc}2&4&3\\5&5&5\\3&5&6\end{array}\right] =-20\\

Az = \left[\begin{array}{ccc}2&2&4\\5&3&5\\3&4&5\end{array}\right] = 14

∴ x = Ax/A = -3/-1 = 3

   y = Ay/A = -20/-1 = 20

   z = Az/A = 14/-1 = -14

<u>So, the answer is option b. (x = 3, y = 20, z = -14)</u>

4 0
3 years ago
Sandra went for pizza with friends. She ordered a slice of pizza with a side salad for $9.50. The tax was 6.2%.
Anvisha [2.4K]

The total amount of money Sandra paid for a slice of pizza with a side salad including tax is $10.089

<h3>How to find total price including tax</h3>

  • Price of slice of pizza with a side salad = $9.50
  • Tax = 6.2%

Total amount Sandra paid = Price of slice of pizza with a side salad + (Tax × Price of slice of pizza with a side salad)

= 9.50 + (6.2% × 9.50)

= 9.50 + (0.062 × 9.50)

= 9.50 + 0.589

= $10.089

Therefore, the total amount Sandra paid is $10.089

Learn more about percentage:

brainly.com/question/843074

3 0
2 years ago
-5=×÷-10<br><img src="https://tex.z-dn.net/?f=%20-%205%20%3D%20%20%5Cfrac%7B%20%5Ctimes%20%20%7D%7B%20-%2010%7D%20" id="TexFormu
Genrish500 [490]

Answer:

50

Step-by-step explanation:

-5(-10) = x/-10 (-10)

50 = x

4 0
3 years ago
Evaluate the expression when x = 1/2 and y = -2/5. Show all work.<br>1. -x + y<br>2. x +2y
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I am old, so I like to use paper & pencil

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3 years ago
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olya-2409 [2.1K]

Answer:

the fourth one

Step-by-step explanation:

every 2 hours will be a positive line segment relating to the 7 meters give you the point of 14 every 4 hours

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