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Wittaler [7]
2 years ago
11

Find the prime factorization of the number 20. If the number is prime, state this

Mathematics
1 answer:
mihalych1998 [28]2 years ago
3 0

Answer:

Some of the prime factors are 1,2,4,5,10,20,-1,-.2,-4,-5,-10,-20, and since 5 is prime you can just start with 5 and 4

Step-by-step explanation:

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What is this asking for?
Ivan

Answer:

4/10 = 2/5

Step-by-step explanation:

It's asking you what's an equivalent fraction to 4/10. 4/10 is equivalent to 2/5 because the size of 2 parts out of 5 is the same size as 4 parts out of 10.

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Write an inequality for the given statement: The product of –3 and a number is no more than 15.
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A café owner is designing a new menu and wants to include a decorative border around the outside of her food listings. Due to th
kipiarov [429]

The 13-in. by 9-in. rectangle where the food listings fit has an area of 13 in. * 9 in. = 117 in.^2

Adding 48 in.^2 for the border, the total area of the menu with the border will be 117 in.^2 + 48 in.^2 = 165 in.^2

The border has to have uniform width around the menu. We need to find the width of the border. Let the border be x inches wide. Then since you have a border at each of the 4 sides, the border will add 2x to the length of the rectangle and 2x to the width of the rectangle. The menu will have a length of 2x + 13 and a width of 2x + 9. The area of the larger rectangle must by 165 in.^2. The area of a rectangle is length times width, so we get our equation:

(2x + 13)(2x + 9) = 165

Multiply out the left side (use FOIL or any other method you know):

4x^2 + 18x + 26x + 117 = 165

4x^2 + 44x + 117 = 165

4x^2 + 44x - 48 = 0

Divide both sides by 4.

x^2 + 11x - 12 = 0

Factor the left side.

(x + 12)(x - 1) = 0

x + 12 = 0 or x - 1 = 0

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The solution x = -12 is not valid for our problem because the width of a border cannot be a negative number. Discard the negative solution.

The solution is x = 1.

Answer: The border is 1 inch wide.

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6 0
3 years ago
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What percentage of the data values falls between the values of 3 and 24 in the data set shown?
Nuetrik [128]
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