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nadya68 [22]
3 years ago
5

Write using no denominator. (No fraction line is necessary. Use x for multiplication between numbers.)

Mathematics
2 answers:
Wewaii [24]3 years ago
7 0
If you don't want to express this into fractions, then you take the inverse of the exponents in your denominator. For example, 8 would be 8^-1, x^4 would be x^-4, y^3 would be y^-3 and z would be z^-1. Then, just multiply all of them. The final answer would be

3 x 8^-1 x a²b³c^5x^-4y^-3z^-1

I hope my explanation helped you understood the solution :)
nydimaria [60]3 years ago
3 0

Answer:

\large\boxed{3\times8^{-1}\times a^2b^3c^5x^{-4}y^{-3}z^{-1}}

Step-by-step explanation:

\text{Use}\ a^{-n}=\dfrac{1}{a^n}\\\\\dfrac{3a^2b^3c^5}{8x^4y^3z}=3a^2b^3c^5\times\dfrac{1}{8x^4y^3z}\\\\=3a^2b^3c^5\times8^{-1}x^{-4}y^{-3}z^{-1}\\\\=3\times8^{-1}\times a^2b^3c^5x^{-4}y^{-3}z^{-1}

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pochemuha

Answer:

Step-by-step explanation I think a

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3 years ago
(–6)² – (–7)²<br><br> I need a step by step process.
Sati [7]
Is the = -13. Is the response
8 0
3 years ago
karen amad an hans have a total of 113 in their wallets? if hans has 4 times the amount of karen an karen has 7 dollars more tha
zvonat [6]

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

<u>Solution:</u>

Let "h" be the amount in Han's wallet

Let "k" be the amount in karen wallet

Let "a" be the amount in amad wallet

<em><u>They have a total of 113 in their wallet</u></em>

Therefore,

h + k +a = 113 ------- eqn 1

<em><u>If hans has 4 times the amount of karen</u></em>

Amount with Han = 4 times the amount with Karen

h = 4k ------- eqn 2

<em><u>And karen has 7 dollars more than amad</u></em>

k = 7 + a

a = k - 7 ---------- eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

4k + k + k - 7 = 113

6k - 7 = 113

6k = 113 + 7

6k = 120

k = 20

<em><u>Substitute k = 20 in eqn 3</u></em>

a = 20 - 7

a = 13

<em><u>Substitute k = 20 in eqn 2</u></em>

h = 4k = 4(20) = 80

h = 80

<em><u>Summarizing the results:</u></em>

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

6 0
3 years ago
The exponential model A=429e 0.024t describes the​ population, A, of a country in​ millions, t years after 2003. Use the model t
d1i1m1o1n [39]

Answer:

Year 2,590

Step-by-step explanation:

In this question, we are asked to calculate the year at which the population of a country will be a certain amount given the exponential equation through which the equation proceeds.

Let’s rewrite the exponential function;

A = 429e^0.024t

Now here, our A is 559,000,000

t is unknown

Let’s substitute this value of A in the exponential equation;

559,000,000 = 429 * e^0.024t

559,000,000/429 = e^0.024t

1,303,030.303030303 = e^0.024t

Let’s take the logarithm of both sides to base e, we have;

ln(1,303,030.303030303) = ln(e^0.024t)

14.08 = 0.024t

t = 14.08/0.024

t = 587 years

Now, we add this to year 2003 and this gives year 2590

7 0
3 years ago
A store has two different sizes of ice cream the smaller container cost 3.87 for 48 ounces the larger container cost 6.42 which
elena-14-01-66 [18.8K]

Consider the complete question is "A store has two different sizes of ice cream on sale this week. The smaller container costs $3.87 for 48 ounces. The larger container costs $6.42 for 128 ounces. which ice cream costs less per ounce?"

Given:

The smaller container costs $3.87 for 48 ounces.

The larger container costs $6.42 for 128 ounces.

To find:

Which ice cream costs less per ounce?

Solution:

We know that

\text{Cost per ounce}=\dfrac{\text{Total cost}}{\text{Number of ounces}}

Using this formula, we get

Per ounce cost of small container =\dfrac{3.87}{48}

                                                         =0.080625

                                                         \approx 0.08

Per ounce cost of larger container =\dfrac{6.42}{128}

                                                         =0.05015625

                                                         \approx 0.05

Since, 0.08 > 0.05 therefore, the per ounce cost of larger container is less.

5 0
3 years ago
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