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arsen [322]
3 years ago
9

Betty had $40 in her pocket. She bought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was

the price, in dollars, of each bag of popcorn? 0.55 2.50 4.17 5.20
Mathematics
2 answers:
8_murik_8 [283]3 years ago
7 0
Each bag of popcorn cost $2.50. I know this, because if Betty had $40 in her pocket and left with $10, then she spent $30 on popcorn. 30 divided by 12 equals 2.5. So, each bag of popcorn cost $2.50
BartSMP [9]3 years ago
6 0
If she started with $40 and ended up with $10, that means she must've used $30. Since the popcorn bags were all identical and she bought 12, you can divide 30 by 12 which gives you 2.5. 

The answer is $2.50.
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How do I know if a positive integer is even based on its prime factorization?
faust18 [17]

To know if it's even based on it's prime factorization, check to see if it is a multiple of 2. If it is, it is an even number. If it is not, it is an odd number.

5 0
4 years ago
Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si
Phantasy [73]

x + y  = 24       where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24. 
x^2 + z^2 = 13^2
y^2 + z^2  = 20^2            where z  = 0.5 * length of smaller diagonal)

form last 2 equations

y^2 - x^2  = 20^2 - 13^2  =  231
 now y = 24-x so we have

(24 - x)^2    - x^2 = 231

576 - 48x = 231

48x = 345

x =  7.1875

z^2  =  13^2 - 7.1875^2 =  117.34
z =  1.83

so smaller diagonal = 21.66 cm


looks like its the third choice.



5 0
3 years ago
A simple dart target has two concentric circles. The larger circle has a radius of 4. The smaller circle has a radius of 2. The
Natali5045456 [20]

Answer:

3 times more.

Step-by-step explanation:

The odds of landing a dart in any of the circles correspond to the surface area of the circle.

Calculate the surface area of both circles:

The formula for the area of a circle is \pi r^{2}.

  • inner circle: A=\pi 2^{2}=12.566
  • for the outer circle, use the formula then subtract the value of the inner circle, to find the remaining area: A=(\pi 4^{2} )-12.566=37.699

Calculating greater chance:

Divide the larger area by the smaller area:

37.699/12.566 = 3

That means that the area of the outer circle is 3 times larger, making it 3 times more likely to hit the outer circle. Therefore the points for hitting the inner circle should be 3 times more.

7 0
3 years ago
The price of pair of shoes is $63.20. The sales tax rate is 4.5 percent. How much sales tax would you pay if you bought these sh
olga nikolaevna [1]
The answer to the problem is as follows:

We can convert 4.5% into a decimal form by moving the decimal to the left two places. This becomes: .045

<span>63.20 x .045 = $2.84

</span>I hope my answer has come to your help. God bless and have a nice day ahead!

4 0
3 years ago
Read 2 more answers
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = ln(x2 + 3x + 4), [−2, 2]
vivado [14]
The vertex (minimum) of the quadratic ax² +bx +c is located at x=-b/(2a). This means the minimum value of f(x) will be found at x = -3/(2*1) = -1.5.

Since the vertex of the quadratic is less than 0, the maximum value of the quadratic will be found at x=2, the end of the interval farthest from the vertex.

On the given interval, ...
  the absolute minimum value of f is f(-1.5) = ln(1.75) ≈ 0.559616
  the absolute maximum value of f is f(2) = ln(14) ≈ 2.639057

4 0
3 years ago
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