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Aneli [31]
2 years ago
15

Half the sum of 12 and x2 decreased by one-third x

Mathematics
1 answer:
MAXImum [283]2 years ago
5 0

The sum of 12 and x squared is

12+x^2

Half that sum is

\dfrac{1}{2}(12+x^2)

If we decrease this quantity by 1/3 x we have

\dfrac{1}{2}(12+x^2) - \dfrac{1}{3}x

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George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did h
miv72 [106K]

Answer:

\dfrac{5}{3}\ \text{pounds}

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds.

George fed his dog 5 times with this bag of food.

We need to find how many pounds of food did the dog eat at each feeding. Let it be x.

x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}

So, the dog eat \dfrac{5}{3}\ \text{pounds} of food at each feeding.

3 0
3 years ago
Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome
Delicious77 [7]

Step-by-step explanation:

Sin^2 (x) * Cos^2 (x) = {[1 - cos (2x)]/2}*{[1 + cos (2x)]/2}

Sin^2 (x) * Cos^2 (x) =[ 1 - cos^2 (2x)]/4

Sin^2 (x) * Cos^2 (x) = (1/4) - (1/4) * cos^2 (2x)

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/4) * {[1 + cos (2*2x)]/2}

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) * [1 + cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/4) - (1/8) - (1/8)* [cos (4x)]

Sin^2 (x) * Cos^2 (x) =  (1/8) - (1/8)* [cos (4x)]

6 0
2 years ago
What is 33.5 % as a Decimal and a fraction?
Stolb23 [73]

p\%=\dfrac{p}{100}\\\\33.5\%=\dfrac{33.5}{100}=\dfrac{33.5\cdot10}{100\cdot10}=\dfrac{335}{1000}\\\\\dfrac{335}{1000}=0.335\\\\\dfrac{335}{1000}=\dfrac{335:5}{1000:5}=\dfrac{67}{200}

Answer:\\\\\boxed{33.5\%=0.335}\\\boxed{33.5\%=\dfrac{67}{200}}

5 0
3 years ago
Read 2 more answers
5w = 23 - 3f and 4f = 12 - 2w
Kryger [21]

Answer:

f = 1, w = 4

Step-by-step explanation:

Given the 2 equations

5w = 23 - 3f → (1)

4f = 12 - 2w (add 2w to both sides )

2w + 4f = 12 ( subtract 4f from both sides )

2w = 12 - 4f → (2)

Multiplying (1) by 4 and (2) by - 3 and adding the result will eliminate f

20w = 92 - 12f → (3)

- 6w = - 36 + 12f → (4)

Add (3) and (4) term by term to eliminate f

14w = 56 ( divide both sides by 14 )

w = 4

Substitute w = 4 into either of the 2 equations and solve for f

Substituting into (1)

5(4) = 23 - 3f

20 = 23 - 3f ( subtract 23 from both sides )

- 3 = 3f ( divide both sides by - 3 )

1 = f

5 0
3 years ago
Read 2 more answers
(-3x2 + x + 5) − (4x2 − 2x)
Tasya [4]

Answer:

-7x^2 + 3x + 5

Step-by-step explanation:

-3x^2 + x + 5 - 4x^2 + 2x

7 0
1 year ago
Read 2 more answers
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