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Elina [12.6K]
3 years ago
8

9^2(x-1) = 27^x how do I solve this equation?

Mathematics
1 answer:
serg [7]3 years ago
5 0
Answer: x = 2

Explanation: 9^2x-1 = 3^2 • (2x - 1) = 3^4x-2

27x = 3^3x

Upon equating: 3^4x-2 =3^3x

Since the base is equal , we can equate the powers:

4x - 2 = 3x
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2. The food pantry of Ellicottville received a huge donation of fruit snacks during the month of December. The table below shows
mestny [16]

ANSWER

238\text{ fruit snacks per after-school program}

EXPLANATION

We have that there are 12 after school programmes and each one got an equal number of packages.

To find the number of fruit snacks that each received, we have to find the total number of fruit snacks.

The total number of fruit snacks can be found by multiplying the number of boxes of each flavor by the number of packages in each box, then adding them up:

\begin{gathered} \text{TOTAL}=(48\cdot4)+(78\cdot9)+(90\cdot11)+(108\cdot9) \\ \text{TOTAL}=192+702+990+972 \\ \text{TOTAL}=2856\text{ fruit snacks} \end{gathered}

Now, to <em>find the number of fruit snacks that each received</em>, divide by 12:

\begin{gathered} \frac{2856}{12} \\ 238\text{ fruit snacks per after-school program} \end{gathered}

8 0
1 year ago
(I will mark brainliest for the correct answer.)
andreyandreev [35.5K]

Answer:

D. 31

Step-by-step explanation:

To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25

= 461

The last step is to divide 461 by 15:

461/15 = 30.73

Round 30.73 to the nearest whole number and you get D. 31

3 0
3 years ago
Jason would like to estimate the probability of heads coming up more than once in 3 coin flips. To do this, he has a computer ra
Umnica [9.8K]
The total number of tries = 10

The tries are  { <span>110 111 100 000 101 111 100 000 011 010  }
</span><span />
Where: 0 representing heads and 1 representing tails

The tries which are heads came up more than once in 3 coin flips { 100 000 100 000 010  }

The number of the tries which are heads came up more than once in 3 coin flips = 5

∴ The probability of heads coming up more than once in 3 coin flips = 5/10 = 1/2

5 0
3 years ago
a line passes through point (-10,3) and has a slope of 1/2. write an equation in Ax+By=C form for this line. Use integers for A,
zhenek [66]

Answer:

-10, -4

Step-by-step explanation:

7 0
2 years ago
Based on the graphic, which three-dimensional figure has the greatest volume?
dedylja [7]

Answer:c) they have the same volume

Step-by-step explanation: same height equals same volume

5 0
3 years ago
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