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solmaris [256]
3 years ago
9

A science class has a total of 44 students. The number of females is 16 less than the number of males. How many males and how ma

ny females are in the class?
Number of males:
Number of females: ​

Thank you very much ❤️ please answer ASAP
Mathematics
1 answer:
kogti [31]3 years ago
6 0

Answer:

Number of males: 30

Number of females: 14

Step-by-step explanation:

Let x be the number of males

Males: x

Females: x - 16

x + x - 16 = 44

2x = 44 + 16

2x = 60

x = 30

Males: 30

Females 30 - 16 = 14

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Copy the problems on to your paper. Use your notes as reference.
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Answer:

1. x⁴³/³⁵

2. 1/x⁶

3. x⁴/2

Step-by-step explanation:

1. ⁷√x³. ⁵√x⁴

The above expression can be simplified as follow:

Recall:

ᵐ√aⁿ = aⁿ/ᵐ

⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

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Therefore,

⁷√x³. ⁵√x⁴ = x⁴³/³⁵

2. x¯³ / x⁵x¯²

The above expression can be simplified as follow:

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³

Thus,

x¯³ / x⁵x¯² = x¯³ / x³

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

x¯³ / x³ = x¯³ ¯ ³ = x¯⁶

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Therefore,

x¯³ / x⁵x¯² = 1/x⁶

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The above expression can be simplified as follow:

Recall:

(aⁿ)ᵐ = aⁿ×ᵐ

5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

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Therefore,

5(x⁴)³ / 10x⁸ = x⁴/2

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Answer:

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