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Svetradugi [14.3K]
3 years ago
5

One month Ahmad rented 3 movies and 2 video games for a total of $22. The next month he rented 5 movies and 6 video games for a

total of $52. Find the rental cost for each movie and each video game.
Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0

By the way this looks, this is a linear relationship. By marking points on a graph, I can see that Ahmad payed 30 dollars more total, and if he payed 4 dollars per movie, and 5 dollars per game, then it adds up for the first part but not the second. We would have to have decimal points, but graphing does not work for this. It's a start

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Evaluate the expression. StartFraction 9 factorial Over 3 factorial EndFraction 3 6 60,480 362,874
REY [17]

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:

n! = n \times (n-1) \times (n-2) \times ...... \times 1

i.e. multiply n with (n-1) then by (n-2) upto 1.

<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>

<em></em>

So, 9! can be written as: 9 \times 8 \times 7 \times ...... \times 1

Similarly 3! can be written as: 3 \times 2 \times 1

Re-writing 9 ! :

9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !

Now, the expression to be evaluated:

\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480

5 0
3 years ago
Read 2 more answers
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
Naya [18.7K]

The value of x in the equation is 26. 087

<h3>What are algebraic expressions?</h3>

Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.

They may also include certain mathematical or arithmetic operations which includes;

  • Bracket
  • Division
  • Addition
  • Subtraction
  • Parentheses
  • Multiplication and so on

Given the equation;

(0.020) (0.030) / (0.10)x = 2.3 × 10-4

We can simply the equation following the steps;

expand the brackets, we have;

6× 10^-4/ 0.10x = 2.3 × 10^-4

Now, cross multiply

0.10x × 2.3 × 10^-4 = 6× 10^-4

Divide both sides by 2.3 × 10^-4

0. 10x =  6× 10^-4/2.3 × 10^-4

Find the quotient

0. 10x = 2. 608

Let's make the variable 'x' by dividing both sides by it's coefficient

0. 10x/0.10 = 2. 608/0. 10

x = 26. 087

Hence, the value is 26. 087

Learn more about algebraic expressions here:

brainly.com/question/4344214

#SPJ1

4 0
1 year ago
A food shop makes wraps where you can only choose one kind of wrap, one meat, and one veggie. (NO TROLL ANSWER)
denpristay [2]
Answer:
we don’t have the whole question so we don’t know what amber likes and doesn’t like.
Explanation:
next time include the WHOLE question
4 0
3 years ago
Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror
PtichkaEL [24]
<h2><u>Question :-</u></h2>

Austen needs to buy a bathroom mirror that is 2 feet wide and 3 feet long. If the mirror sells for $5.00 per square foot, what will the total cost of the mirror be?

<h3>____________________</h3>

<h2><u>Solution :-</u></h2>

<h3><u>Given Information :-</u></h3>

  • <u>Length of the mirror Austen needs to buy ➢</u> 3 ft
  • <u>Width of the mirror Austen needs to buy ➢</u> 2 ft
  • <u>Cost of mirror per square foot ➢</u> $5.00

<h3><u>To Find :-</u></h3>

  • Total cost of the mirror Austen needs to buy.

<h3><u>Formula Used :-</u></h3>

  1. Area of Mirror = Length × Width
  2. Total cost of mirror = Area of mirror × Cost of mirror per square foot

<h3><u>Calculation :-</u></h3>

  • <u>Area of mirror :-</u>

<em><u>Substituting the values given in the 1st formula, We get, </u></em>

⇒ Area of mirror = ( 3 × 2 ) ft²

⇒ Area of mirror = 6 ft²

  • <u>Now finding the total cost of mirror,</u>

<em><u>Substituting the values calculated above in the 2nd formula, We get </u></em>

⇒ Total Cost of mirror = $ ( 6 × 5.00 )

⇒ Total Cost of mirror = $30

<h3>___________________</h3>

<h2><u>Final Answer :-</u></h2>

  • Total cost of the mirror Austen needs to buy will be $30

<h3>____________________</h3>
7 0
3 years ago
Nora had already read thirty percent of the book before he teacher assigned it to the class she is choosing between two options.
kompoz [17]
I need some points so I put this
5 0
3 years ago
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