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velikii [3]
2 years ago
9

3^4 × h^5 × g^2 / 3^2 × h^8 Could you show me the steps so I can understand easier?

Mathematics
1 answer:
hoa [83]2 years ago
7 0

Answer:

\dfrac{3^{2} \times g^{2}}{h^{3} }

Step-by-step explanation:

We have to simplify the following mathematical expression.

The expression is \dfrac{3^{4} \times h^{5} \times g^{2}}{3^{2} \times h^{8}   }

Now, \dfrac{3^{4} \times h^{5} \times g^{2}}{3^{2} \times h^{8}   }

= 3^{(4 - 2)} \times h^{(5 - 8)} \times g^{2}

{Since, all the terms are in product form, so, we can treat them separately}

{We know the formula of exponent \dfrac{x^{a} }{x^{b} }  = x^{(a - b)}}

= 3^{2} \times h^{- 3} \times g^{2}

= \dfrac{3^{2} \times g^{2}}{h^{3} } (Answer)

{Since, we know, x^{- a} = \dfrac{1}{x^{a}}}

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There are 32 people who voted for Petra for class president.This represents 1/2 of the people who voted. How many people voted i
pochemuha
32 is 1/2 so do 32*2=64
4 0
3 years ago
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One pumpkin weighs 7 lb 12 oz. A second pumpkin with 10 pounds 4 ounces. A pumpkin weighs 2 pounds 9 ounces more than the second
Nesterboy [21]

Answer:  30 lbs, 13 oz

This converts to 493 ounces

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

Explanation:

Pumpkin A weighs 7 lb, 12 oz. Let's convert that to ounces only

1 lb = 16 oz

7 lbs = 112 oz (multiply both sides by 7)

7 lbs, 12 oz = 112 oz + 12 oz .... add 12 oz to both sides

7 lbs, 12 oz = 124 oz

Pumpkin A's weight of 7 lbs, 12 oz is the same as 124 oz

-----------

Do something similar for pumpkin B

1 lb = 16 oz

10 lbs = 160 oz

10 lbs, 4 oz = 160 oz + 4 oz

10 lbs, 4 oz = 164 oz

Pumpkin B weighs 164 oz

-----------

Let's convert the "2 lbs, 9 oz" to ounces only

1 lb = 16 oz

2 lbs = 32 oz

2 lbs, 9 oz = 32 oz + 9 oz

2 lbs, 9 oz = 41 oz

So pumpkin C is 41 ounces heavier compared to pumpkin B

The weight of pumpkin C is 164+41 = 205 ounces

----------

We have these three weights in ounces only

  • Pumpkin A = 124 oz
  • Pumpkin B = 164 oz
  • Pumpkin C = 205 oz

Adding those three ounces only weights leads to

124+164+205 = 493 ounces

The total weight of all three pumpkins is 493 ounces

Now let's convert back to the unit "pounds, ounces"

Divide that result over 16 since there are 16 ounces per pound

493/16 = 30.8125

Ignore the decimal portion. The 30 is the quotient which means 493-30*16 = 13 is the remainder.

In other words,

493/16 = 30 remainder 13

which leads to

493 ounces = 30 pounds, 13 ounces

--------------

As a check,

1 lb = 16 oz

30 lbs = 480 oz

30 lbs, 13 oz = 480 oz + 13 oz

30 lbs, 13 oz = 493 oz

The answer is confirmed.

8 0
2 years ago
Elimination equation:<br> 5x-6y= 6<br> 2x+9y= 10
lys-0071 [83]

Step-by-step explanation:

it's close to 6

.................

3 0
2 years ago
What is the value of x in the equation 1.8 minus 3.7 x = negative 4.2 x + 0.3?
aniked [119]

Answer:

-3

Step-by-step explanation:

1. subtract 0.3 from both sides

2. add 3.7x to both sides

3. Divide both sides by -0.5

3 0
3 years ago
Read 2 more answers
If an arrow is shot upward on Mars with a speed of 68 m/s, its height in meters t seconds later is given by
Talja [164]

Answer:

(a) dy/dt = 68 - 3.72t

(b) 64.28m/s

Step-by-step explanation:

Given y = 68t - 1.86t²

Average Speed is rate of chance of distance with respect to time. Written as dy/dt

To obtain dy/dt, we differentiate y with respect to t, doing that, we have

dy/dt = 68 - 2(1.86)t

= 68 - 3.72t

(a) dy/dt = 68 - 3.72t

(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .

dy/dt at t = 1 is

68 - 3.72(1)

= 68 - 3.72

= 64.28

The speed at t = 1 is 64.28m/s

6 0
3 years ago
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