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2 years ago

Simplify (2^5/3^2)^4 I need help asap within 10 min

Mathematics

1 answer:

Daniel [21]2 years ago

3 0

Answer:

$\frac{2^{20} }{3^{8} }$

Step-by-step explanation:

Exponent Multiplication Rule :

$(\frac{x^{a} }{y^{b} } )^{c} = \frac{x^{ac} }{y^{bc} }$

=============================================================

Solving :

⇒ $(\frac{2^{5} }{3^{2} } )^{4}$

⇒ $\frac{2^{5(4)} }{3^{2(4)} }$

⇒ $\frac{2^{20} }{3^{8} }$

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Sherri spent 4 hours exercising last week. If 5/6 of the time was spent jogging, how much time did she spend jogging?

Mila [183]

THat would be 5/6 * 4 = 20/6 = 3 1/3 hours jogging.

7 0

3 years ago

Which ordered pair is the best estimate for the solution of the system of equations?

Rasek [7]

Answer:

<u>The ordered pair of the solution is (0.022, -0.55). None of the alternatives given we can consider as the best estimate because there isn't at least one positive value for x, when it's actually positive. Picking (0, -2) as the best estimate is also far from the best estimate.</u>

Step-by-step explanation:

Let's solve the system of equations:

y = −25x

−2y = 5x+1

***********************

Substituting y in the 2nd equation:

-2 (-25x) = 5x + 1

50x = 5x + 1

45x = 1

x = 1/45

x = 0.022

**********************

Solving for y in the 1st equation:

y = -25 (0.022)

y = - 0.55

6 0

3 years ago

The interior angles of a quadrilateral are 2x+15 2x-5 3x+75 3x-25 find x and the smallest interior angle largest interior angle

BartSMP [9]

Answer: $x=30^{\circ}$

Step-by-step explanation:

We know sum of the interior angles of a quadrilateral is $360^{\circ}$

therefore we can write

$(2x+15)+(2x-5)+(3x+75)+(3x-25)=360^{\circ}$

$\Rightarrow 10x+60=360$

$\Rightarrow 10x=300$

$\Rightarrow x=30^{\circ}$

So smallest interior angle is $(2x-5)^{\circ}=(60-5)=55^{\circ}$

Largest interior angle $=3x+75=90+75=165^{\circ}$

3 0

3 years ago

70% of what number is 98

nika2105 [10]

Hello,

Shall we begin?

70% = 98

70%.....................98
100%...................x

70 * x = 98 * 100
70x = 9800
x = 9800/70
x = 140

<span>Answers: 140 is 100%</span>

6 0

4 years ago

Keecia joins a gym. She pays a membership fee of $75.00 and $49.99 per month for the first 8 months. The gym increases its rates

attashe74 [19]

Answer:

$165 is the total cost of the first year of Keecia’s gym membership

Step-by-step explanation:

formula for direct proportion : y = kx

x = 50

y = 75

50 = k * 75

k = 75/50

k = 3/2x

substitute y = 60

60 = 3/2x

x = 3/2 * 60

x = 90

$90 + $75 = $165

8 0

2 years ago