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2 years ago

If 343* = 494-x, what is the value of x? 5/8 8/5 2 8

Mathematics

1 answer:

rosijanka [135]2 years ago

4 0

Answer: $\frac{8}{5}$

Step-by-step explanation:

343 is equal to 7 to the power of 3.

49 is equal to 7 to the power of 2.

You can then make the equation:

$(7^{3})^x = (7^2)^{4-x}$

The powers law means if something is to the power of something, it is multiplied.

So, we can remove the 7 and make the equation:

3x = 2(4-x)

3x = 8 - 2x

5x = 8

x = $\frac{8}{5}$

You can verify this by plugging it in,

$343^{8/5} = 11388.6066$

$49^{4-(8/5)} = 11388.6066$

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Answer:

Yes

Step-by-step explanation:

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3 years ago

A+ -12= 45 6th grade

Dmitry_Shevchenko [17]

A = 57
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3 years ago

Factorize 2mh-2nh-3mk+3nk

Nookie1986 [14]

Answer:

(2h-3k)(m-n)

Step-by-step explanation:

factor by grouping, you can group the first two terms and the last two terms:

2h(m-n) + (-3k)(m-n)

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2 years ago

Read 2 more answers

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be $8\times \$5=\$40$

The total cost of purchasing 8 trees will be $8t+40$ .

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

$8t+40=168$

$8t+40-40=168-40$

$8t=128$

Upon dividing both sides of our given equation by 8, we will get:

$\frac{8t}{8}=\frac{128}{8}$

$t=16$

Therefore, the cost of each tree is $16.

5 0

3 years ago

Someone explain and help plsss

fenix001 [56]

Answer:

(-1, 6)

Step-by-step explanation:

The midpoint is the halfway point. So, if M is the midpoint of PQ, then simply take the distance between your P and M co-ordinates and apply that one more time to get to Q.

Your x value at point M is 5, and your x value at point P is 11.

11 and 5 are 6 units apart.

Since M is in the middle of P and Q, M is therefore 6 units apart from both P and Q on the x-axis, so we can subtract 6 from 5 to find Q's x co-ordinate of -1.

Your y value at point M is -2, and your y value at point P is -10.

-10 and -2 are 8 units apart.

Add 8 to M to find your y co-ordinate at point Q of 6.

Your Q point is at (-1, 6).

5 0

3 years ago