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3 years ago

12-3 (2w+1)=7w-3 (7+w)

2 answers:

8 0

$12-3(2w+1)=7w-3(7+w)\\\\
12-6w-3=7w-21-3w\\\\
-6w-7w+3w=-21-12+3\\\\
-10w=-30\ \ \ |Divided\ by\ -10\\\\
w=3\\\\ \textbf{Answer\ is\ w=3.}$

n200080 [17]3 years ago

3 0

$12-3(2w+1)=7w-3(7+w) \\ \\ 12-6w-3=7w-21-3w \\ \\ 9-6w=4w-21 \\ \\ -6w-4w=-21-9 \\ \\ -10w=-30 \\ \\ \boxed{x=\frac{-30}{-10}=3}$

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write the product of the expression 5^4 * 5^-7 using a positive exponent, then write the product using a negative exponent

pav-90 [236]

Answer with positive exponent = $\left(\frac{1}{5}\right)^3$ or $\frac{1}{5^3}$

Answer with negative exponent = $5^{-3}$

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Explanation:

The rule we use is

$a^b*a^c = a^{b+c}$

If we multiply two exponential expressions with the same base, then we add the exponents.

The base for each is 5. The exponents 4 and -7 add to -3.

This means

$5^4*5^{-7} = 5^{4+(-7)} = 5^{-3}$

To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.

So, $5^{-3} = \left(\frac{1}{5}\right)^3 = \frac{1^3}{5^3} = \frac{1}{5^3}$

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2 years ago

Is -29/8 greater than -3.62

Darina [25.2K]

-3.62 is greater than -29/8

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2 years ago

Plz help :( im trying to understand this but Idk how it works?

djyliett [7]

Answer:

LEFT

k + 3 = 20,

k = 17

RIGHT

3x + 5 = 32,

k = 9

Step-by-step explanation:

For the left side, you have k + 3 on one side equaling 20, so the equation is

k + 3 = 20

To solve is as follows

k + 3 = 20

- 3 - 3

k = 17

For the right side,

You have 3 x's and 5 1's right? Adding them together will equal 32 (Other side

So your equation is 3x + 5 = 32

To solve is as follows

3x + 5 = 32

- 5 -5

3x = 27

Dividing both sides by 9 we get x = 9

Reasoning; you want to cancel out everything with x so that you got x alone on one side.

Hope this helps, if not comment on this telling me which step I did that you dont understand and I'll explain it.

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Answer: 236 kcal

Step-by-step explanation:

Given : A serving of fish contains 50 g protein and 4 g of fat.

i.e. content of protein = 50 g

content of fat = 4 g

Also, The caloric value in protein = 4 kcal/g

The caloric value in fat = 9 kcal/g

Calories in 50 g protein = (content of protein)x (caloric value in protein )

= 50g x 4 kcal/g = 200 kcal

Calories in 4 g fat= (content of fat)x (caloric value in fat)

=4 g x 9 kcal/g = 36 kcal

Then, the total calories in the serving will be :Calories in 50 g protein + Calories in 4 g fat

= 200 kcal+ 36 kcal =236 kcal

Hence, there are 236 kcal in the serving.

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