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inysia [295]
2 years ago
7

Alexa and her children went into a movie theater where they sell bags of popcorn for $8 each and pretzels for $5 each. Alexa has

$45 to spend and must buy a minimum of 6 bags of popcorn and pretzels altogether. If x represents the number of bags of popcorn purchased and y represents the number of pretzels purchased, write and solve a system of inequalities graphically and determine one possible solution.
Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0

Answer:

y≥6−x ​

y≤9− 5/8x

​2 popcorn 5 pretzel

Step-by-step explanation:

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Question 1 of 10 Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What
dangina [55]

Hey there!!

The question states that a sum is invested which is $3000 and hence, this would be counted as the principle amount or the principle sum.

The term given is 3 years, which gives us the idea that this interest is being counted or being active for 3 years.

She ( Diana ) earned the sum $450 at the end of three years. This means, the simple interest is $450.

Never get confused with the principle amount, principle sum and interest.

<u><em>Principle amount = Principle sum + The interest. </em></u>

Formula given :

I = prt

'p' is denoted as the principle sum, r is the rate and the t is the term or the number of years.

Now, plugging in all the values :

... <em>450 = 3000×r×3 </em>

... <em>450 = 9000×r </em>

... <em>r = 450 / 9000</em>

... <em>r = 0.05 </em>

... <em>r = 5% </em>

As we need the answer in the decimal form, the answer would be <em><u>0.05</u></em>

Hope my answer helps!!<em> </em>

4 0
3 years ago
Write in descending order.420t + 201 to the 3rd power -210t to the 2nd power
nexus9112 [7]

To answer this, we need to see the polynomial. Descending order is in a way that the first term of the polynomial will be three, the second (in descending order, two....and so on).

420t+20t3-210t2

In descending order is:

20t^3 - 210t^2 + 420t

So, the option is number two.

4 0
1 year ago
You are told that P(A | B) = P(B | A). Which statement below must be true?
Katen [24]
The best answer to the question that is being stated above would be that A and B are both dependent. If I was told that P(A | B) = P (B | A), then the true statement is that both variables inside would be dependent upon each other, no matter if you exchange their places with one another.
6 0
3 years ago
Read 2 more answers
Okay here is the math problem..
Daniel [21]
Each hamburger weighs 1/4 lbs. 
Work:
3/4 divided by 3 equals 3/4 times 1/3 which equals
3/12 simplify it and get 1/4
4 0
3 years ago
Read 2 more answers
Which calculation could not be used to find the percentage change
bogdanovich [222]

Answer:

Option (B).

Step-by-step explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change = \frac{|b-a|}{a}\times 100

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= (\frac{20-16}{16})\times 100

= \frac{4}{16}\times 100

= 25%

If a = 20 and b = 16,

Percentage change = \frac{|16-20|}{20}\times 100

                                 = 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

\frac{20-16}{16}\times 100 = 25%

Option (B),

\frac{20}{16}-1\times 100 = 1.25 - 1 × 100

                   = 1.25 - 100

                   = -98.75%

Option (C),

100\times \frac{1}{4} = 25%

Option (D),

\frac{(20-16)}{20}\times 100 = 20%

Therefore, we can not use the calculation used in Option (B).

6 0
3 years ago
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