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3 years ago

Cory made 4,500 g of candy. He saved 1 kg to eat later. He divided the rest of the candy over 7 bowls to

Mathematics

1 answer:

Olenka [21]3 years ago

4 0

Answer: 500 g of candy in each bowl

Step-by-step explanation:

1,000 g = 1Kg

4,500 g - 1,000 g = 3,500 g of candy were divided over 7 bowls:

Each bowl contains = 3,500 g➗7 bowls = 500 g candy/bowl

Answer: 500 g of candy in each bowl

<h2>Spymore</h2>

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2^2 times 2^3 a.2^4 b.2^5 c.2^6 d.4^6

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Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

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2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

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Hi There!

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This factorization is not a prime factorization

Because 4 is not a prime number

The prime factorization of the number is $2^{5}$ × 5

Step-by-step explanation:

Lets explain the meaning of prime numbers

Prime numbers are the numbers have two factors only 1 and itself, as 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...........
All the prime numbers are odd numbers except 2 is an even number

Prime factorization means factorize a number into prime numbers only

Example

The prime factorization of 18 is 2 × 3 × 3 not 2 × 9 because 9 is not a prime number

∵ A number is written with the following factorization: 2³ × 4 × 5

∵ 2 and 5 are prime numbers but 4 is not a prime number

∴ The factorization is not a prime factorization

This factorization is not a prime factorization

Because 4 is not a prime number

To correct it factorize 4 into prime number

∵ 4 = 2 × 2

∵ 2 is a prime number

∴ The factorization of 4 = 2 × 2 or 2²

∴ The prime factorization is 2³ × 5 × 2²

- Add the powers of the same base

∴ The prime factorization is $2^{3+2}$ × 5

∴ The prime factorization is $2^{5}$ × 5

The prime factorization of the number is $2^{5}$ × 5

Learn more:

You can learn more about prime numbers in brainly.com/question/4550858

#LearnwithBrainly

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