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netineya [11]
3 years ago
5

Charles owed $390 to his friend. On the first day Charles paid his friend $12. Each following week the amount Charles paid his f

riend increased by the same amount. After 10 payments, Charles had paid back the full amount. By how much did each payment increase?
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
6 0
Hello! Ok, so this is the formula x10 + 12 = 390 =
x10 + 12 - 12 = 390 - 12 = 378 =
x10 = 378 =
x10 / 10 = 378 / 10 =
x = 37.80$
He paid 37.80$ per payment



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Find the fraction of stundents enrolled in each language
blondinia [14]

Fraction of students enrolled in Chinese = \frac{51}{126}

Fraction of students enrolled in French = \frac{33}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

Solution:

Total number of students = 51 + 33 + 42

                                          = 126

Number of students enrolled in Chinese = 51

Fraction of students enrolled in Chinese

             $=\frac{\text{Number of students enrolled in Chinese}}{\text{Total number of students}}

             $=\frac{51}{126}

Fraction of students enrolled in Chinese = \frac{51}{126}

Number of students enrolled in French = 33

Fraction of students enrolled in French

             $=\frac{\text{Number of students enrolled in French}}{\text{Total number of students}}

             $=\frac{33}{126}

Fraction of students enrolled in French = \frac{33}{126}

Number of students enrolled in Spanish = 42

Fraction of students enrolled in Spanish

             $=\frac{\text{Number of students enrolled in Spanish}}{\text{Total number of students}}

             $=\frac{42}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

7 0
3 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

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1. Rewrite the expression in fraction form:

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2 is the exponent, so when written in fraction form, it is the numerator. 3 is the index or root, so in fraction form it is the denominator.

2. Solve:

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Because the exponent 2/3 is raised to the power of 6, you can use the power rule, which basically just means that whenever an exponent is raised to an exponent, multiply them. So, 2/3 * 6 equals 12/3, and 12/3 equals 4, making your answer x^4.

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Kitty [74]

Answer:

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No.of blue beads = 3  

Probability of picking a blue bead = 3/16

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Nutka1998 [239]

Answer:

Take the slopes, such that 7-4/-4+3= 3/-1=-3

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8 0
2 years ago
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