1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KiRa [710]
2 years ago
7

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

You might be interested in
Which of the following points might be on the graph of f(x)
BaLLatris [955]
Where’s the equation
8 0
2 years ago
During the winter months, there is a decrease of between 10 and 30 percent in business at a certain restaurant. Which of the fol
serious [3.7K]

Answer:

  d.  94

Step-by-step explanation:

If business decreases 10%, it is 100% - 10% = 90% of normal.

If business decreases 30%, it is 100% -30% = 70% of normal.

if business is 94% of normal, it is not between these values, so is not a winter business statistic.

7 0
3 years ago
Need help understanding the formula
ololo11 [35]

For this case we have the following equation:

H (t) = -16t ^ 2 + vt + s

Where,

t: time

v: initial speed

s: initial height

Substituting values we have:

H (t) = -16t ^ 2 + 15t + 4

By the time the ball hits the ground we have:

-16t ^ 2 + 15t + 4 = 0

From here, we clear the value of time:

Using the quadratic equation we have:

t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}

Doing the calculations we have:

t1=-0.217\\t2=1.154

Discarding the negative root, we have that the time is:

t=1.154

Answer:

it takes the ball to hit the floor about:

1.15 seconds



6 0
2 years ago
Read 2 more answers
Find the value of each expression in lowest terms <br><br> -8 1/2 + 4 1/14
Mars2501 [29]

Answer:

The answer to -8 1/2 + 4 1/14 = -4 3/7

Hope this helps :-)

3 0
2 years ago
Read 2 more answers
A recipe for cookies requires 2/3 cup of butter.Rama wants to make 3/4 of the recipe.How many cups of butter should Rana use to
makkiz [27]

3/4 x 2/3 = 6/12 = 1/2

7 0
2 years ago
Other questions:
  • I need some help with solving inequalitys 9x-9 greater thab or equal to 2(8x-15)
    9·1 answer
  • This is sooo confusing
    12·2 answers
  • Suppose point z is halfway between point w and x a standard numberline, and point x is halfway between points z and y. Where is
    12·1 answer
  • Given that f(x) = x2 + 12x + 32 and g(x) = x+ 4, find (f - g)(x) and
    10·1 answer
  • Can someone please help me
    6·1 answer
  • PLS PLS PLS HELP!!!! True or false: 6x² - 4y - 3x + 6x² + 8x= 12x² + 5x - 4y
    13·1 answer
  • Can someone add these up and tell me what my final grades would be
    12·2 answers
  • There are 12 red marbles in a bag. The ratio of the total number of marbles in the bag to the number of red marbles in the bag i
    14·1 answer
  • HELPPPPOOOPPPPOPPPPPPPP
    15·2 answers
  • 2=-8-1x <br> what’s the solution for x?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!