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2 years ago

Which situation can be modeled by the inequality 50 - 12x > 8?

Mathematics

1 answer:

eduard2 years ago

7 0

Answer:

Option D.

Step-by-step explanation:

Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.

Let x be the amount paid on each week.

$50-8\leq 12x$

$50-12x\leq 8$

You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.

Let x be the amount of each package.

$50-12x\geq 8$

You owe your sister $50. You plan to pay her $12 a week till you owe her less than $8.

Let x be the amount paid on each week.

$50-12x$

You have $50 to spend on clothes, but you need to save at least $8 for bus fare. You plan to spend the rest on shirts that cost $12 each (including tax).

Let x be the number of shirts

$50-12x>8$

Therefore, the correct option is D.

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Mrs. Cooper has $20 can she buy a museum tickets for 10 year old daughter a ticket for a self and a book that cost 3.99? Explain

Sladkaya [172]

No, because then she would have to pay 21 dollars as a total and she only has 20.

Add adult plus Child,

5.75 + 11.25 = 17

add that to the book's price,

17+3.99= 2.99

it will exceed the budget by 99 cents.

7 0

1 year ago

Makayla and Caroline go to the movie theater and purchase refreshments for their friends. Makayla spends a total of $49.00 on 9

gizmo_the_mogwai [7]

Answer:

Let the cost of each popcorn bag be x and cost of each drink be y

Cost of 9 bags of Popcorn= 9 x

Cost of 8 drinks be = 8 y

Total money spent by Makayla = $ 49

According to Question

9 x + 8 y= 49..................... equation (1)

Similarly , cost of 3 popcorn = 3 x

Cost of 3 drinks= 3 y

Total money spent by Caroline= $ 17.25

According to Question

3 x+ 3 y= $ 17.25...................equation(2)

We can solve above equation by using elimination method

Multiply equation (2) by 3

9 x + 9 y = 51.75..................equation(3)

9 x + 8 y= 49..................... equation (1)

Subtraction equation (1 ) from equation(3)

y = 2.75

put value of y in any equation (2)

we get

3 x + 3 × 2.75 = 17.25

3 x + 8.25 = 17.25

3 x = 17.25 - 8.25

3 x = 9

x = 3

Hence, cost of each popcorn bag $ 3 cost of each popcorn bag is also $ 3 (approx)

5 0

2 years ago

Calculate the slope of a line that passes through the points (-4,7) and (-1,3)

zmey [24]

Answer:

The answer is

$- \frac{4}{3} \\$

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

$m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-4,7) and (-1,3)

We have

$m = \frac{3 - 7}{ - 1 - - 4} = \frac{ - 4}{ - 1 + 4} = - \frac{4}{3} \\$

We have the final answer as

$- \frac{4}{3} \\$

Hope this helps you

4 0

2 years ago

QuizBIGPOINT

lianna [129]

The number of permutations of the problem is

This = 24
Outfit = 360

<h2>Combination</h2>

$\:$

Combinations are the number of ways to choose members from a certain number, namely from members of a set, combinations can also be interpreted as many ways to make subsets, namely with a certain number of members, namely from members of a set, if a set has n members then the selection of r members, and the combination of n is where r is less than n.

$\:$

<h3>The Formula : </h3>

$\:$

$\:$

<h2>Permutation</h2>

$\:$

Permutations are a way to determine the number of arrangements that occur by paying attention to the order. So in permutations, position/order is very important, namely AB is considered different from BA (AB ≠ BA). Permutation formula

$\:$

<h3>The Formula :</h3>

$\:$

$\frac {n!}{k!}$ (With Double Elements)

n! (Without Double Elements)

$\:$

<h2>Factorial</h2>

$\:$

The factorial of a natural number is the successive multiplication of a natural number that begins with the number one and arrives at the natural number, the factorial is used in calculating combinations, probabilities, and permutations.

$\:$

<h3>For example</h3>

$\:$

》2! = 1 × 2
》3! = 1 x 2 x 3
》4! = 1 x 2 x 3 x 4
》5! = 1 x 2 x 3 x 4 x 5
》6! = 1 × 2 × 3 × 4 × 5 × 6
》7! = 1 × 2 × 3 × 4 × 5 × 6 × 7
》8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8
》9! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
》10! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10

$\:$

The following is an example of a factorial that does not involve mixed arithmetic operations, so if you want to add it up we just need to calculate it like a normal number, a factorial number that only multiplies the difference between a factorial number that is added up by addition, subtraction, multiplication, division, for example see below.

$\:$

6! x2! - 3! : 4!

$\:$

The example above is a mixed arithmetic operation that contains multiplication, subtraction, and division. Remember that in mixed arithmetic operations, multiplication/division must be completed before addition/subtraction.

$\:$

<h3>The Formula : </h3>

$\:$

n! (Combined Multiplication)

$\:$

<h2>Place Filling Rules</h2>

$\:$

The Place Fill Rule is a method or method that can be used to determine the number of ways an object occupies its place. The filling slots rule is a method of calculating how many possible ways there are in an experiment or event. If a first event can be done in m different ways and the second event can be done in a different way and so on until the last event in k.

$\:$

<h3>The formula</h3>

$\:$

n1 × n2 × n3 × ... × nr

$\:$

<h2><u>Question</u></h2>

Find the number of permutations of letters of the word

- this

- outfit

$\:$

<h2><u>Answer</u></h2>

"Number One"

=》This = Four Letters ( 4! )

P = 4!

P = 1 × 2 × 3 × 4

P = 2 × 3 × 4

P = 6 × 4

P = 24

==========

"Number Two"

=》Outfit = Six Letters ( 6! )

=》Outfit = Two Letters The Same ( "T" ) = 2!

P = $\frac {1×2×3×4×5×6}{2×1}$

P = $\frac {2×3×4×5×6}{2}$

P = $\frac {6×4×5×6}{2}$

P = $\frac {24×5×6}{2}$

P = $\frac {120×6}{2}$

P = $\frac {720}{2}$

P = 360

$\:$

<h2><u>Conclusion</u></h2>

So, the number of permutations of the problem is

This = 24
Outfit = 360

$\:$

<h2>Learn More</h2>

$\:$

<h2>Answer Detail</h2>

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➽ Subject: Mathematics
➽ Class : 12
➽ Chapter : 7 - The Rule of Counting:
➽ Maple Code
➽ Categorization code : 12.2.7
➽ Keywords : This, Outfit

5 0

2 years ago

What is the unit rate 25 for $50.00

PolarNik [594]

Answer:

1/2

Step-by-step explanation:

For every 1 item bought, $2.00 are spent.

<em>Brainliest please!</em>

3 0

2 years ago

Read 2 more answers