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mihalych1998 [28]
3 years ago
15

Find the smallest solution to the equation 2/3 X² equals 24

Mathematics
1 answer:
iren [92.7K]3 years ago
4 0

Answer:

The smallest solution is -6

Step-by-step explanation:

2/3 x^2 = 24

Multiply each side by 3/2

3/2 *2/3 x^2 = 24*3/2

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

The smallest solution is -6

The largest solution is 6

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A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t
elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

5 0
3 years ago
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Can the side of a triangle have lengths 2,8,9?
photoshop1234 [79]

Answer:

Yes

Step-by-step explanation:

The smaller two sides have to be greater than the biggest side.

2+8>9, so it can make a triangle.

3 0
2 years ago
James deposited $575 into a bank account that earned 5.5% simple interest each year. If no money was deposited into or withdrawn
Basile [38]
The answer is $654.06.
5.5% of $575 is $31.63.  575 x 0.055 = 31.63
This means that in one year he earns $31.63. In two years it will be $63.25 (31.63 x 2 = 63.25)
Then in half a year it will be $15.81 (31.63/2 = 15.81)
Finally add 15.81 and 63.25 to get $79.06 which you then add to the initial $575 to get the total amount earned in 2 1/2 years which is $654.06.
6 0
3 years ago
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Please help me with this math problem. Only type answer please dont upload files
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3) 3(8b + 3)
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I’m pretty sure that this is the answer
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2 years ago
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Answer:

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Step-by-step explanation:

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