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3 years ago

Which is equivalent to 64 to the 1/4 power

Mathematics

1 answer:

Sladkaya [172]3 years ago

5 0

Answer:

The answer to your question is the first option

Step-by-step explanation:

64 $^{1/4}$

Process

1.- Find the prime factors of 64

64 2

32 2

16 2

8 2

4 2

2 2

64 = 2⁶

2.- Express 64 as a fractional exponent

64 $^{1/4} = 2^{6/4}$

3.- Simplify

64 $^{1/4} = 2^{4/4} 2^{2/4}$

64 $^{1/4} = 2^{1} 2^{2/4}$

64 $^{1/4} = 2\sqrt[4]{2^{2}}$

4.- Result

64 $^{1/4} = 2\sqrt[4]{4}$

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3 years ago

18/40 = simplify to the lowest term

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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MissTica

Answer:

She will get 80mg of dextromethorphan and 800mg of guaifenesin. And the bottle last for 6 days approximately.

Step-by-step explanation:

Given that the Robitussin DM contains dextromethorphan 10mg/5mL and gualfenesin 100mg/5mL. And we are also given that Mrs Smith took four doses and each dose is 2 teaspoons=2X5=10mL.

So, four doses=4X10=40mL.

So, dextromethorphan in 4 doses is = $\frac{10}{5}X40=80mg$

And Guaifenesin in 4 doses is = $\frac{100}{5}X40=800mg$

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7 0

3 years ago

A jar has 570 marbles of different colors.The ratio of red to blue marbles are 2:3 and red to green is 4:5.how many marbles of e

iVinArrow [24]

Answer:

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Step-by-step explanation:

Let x be the number of red marbles, y be the number of blue marbles and z be the number of green marbles.

It is given that the total marbles = 570.

Therefore, x + y + z = 570 --- (1)

It is also given that the ratio of red to blue marbles is 2 : 3.

Therefore, x : y = 2 : 3

or 3x = 2y --- (2)

It is also given that the ratio of red to green marbles is 4 : 5.

Therefore, x : z = 4 : 5

or 5x = 4z --- (3)

From (2), $y=\frac{3x}{2}$

From (3), $z=\frac{5x}{4}$

Substituting the above in (1), we get,

$x+\frac{3x}{2} +\frac{5x}{4} =570$

Multiply both sides by 4.

4x + 6x + 5x = 2280

15x = 2280

Divide both sides by 15.

x = 152

Hence,

y = $\frac{3(152)}{2}$

y = 228

z = $\frac{5(152)}{4}$

z = 190

Therefore,

The number of red marbles = 152

The number of blue marbles = 228 and

the number of green marbles = 190

Check:

Total number of marbles = 152 + 228 + 190 = 570

Ratio of red to blue marbles = 152 : 228 = 2 : 3

Ratio of red t green marbles = 152 : 190 = 4 : 5

8 0

3 years ago