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2 years ago

In a class of 21 students, there are 3 boys for every 4 girls. How many girls in all are in the

Mathematics

2 answers:

Eduardwww [97]2 years ago

7 0

Answer:

Step-by-step explanation:

JulsSmile [24]2 years ago

4 0

Answer:12 girls

Step-by-step explanation:

3 boys=4 girls

3 boys= 4 girls

9 boys=12 girls

So, 9+12=21 total.

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<img src="https://tex.z-dn.net/?f=5x-%20%5Cdfrac%7B%20%5Csqrt%7B%209%20%7B%20x%20%7D%5E%7B%202%20%7D%20-6x%2B1%20%5Cphantom%7B%5

Morgarella [4.7K]

Answer:

$=5x+1$ or $=5x-1$

Step-by-step explanation:

One is given the following equation:

$5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:

$(a-b)^2=a^2-2ab+b^2$

$=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}$

$=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}$

Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,

$=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}$

$=5x-\frac{|3x-1|}{-(3x-1)}$

Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:

$|a-b|\\=a -b$ or $(-a-b) = b-a$

$=5x-\frac{|3x-1|}{-(3x-1)}$

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,

$=5x-\frac{3x-1}{-(3x-1)}$ or $=5x-\frac{-(3x-1)}{-(3x-1)}$

$=5x-(-1)$ or $=5x-(1)$

Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.

$=5x-(-1)$ or $=5x-(1)$

$=5x+1$ or $=5x-1$

6 0

2 years ago

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

gavmur [86]

5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500

=> 10x = 5510 - 4500 = 1010

=> x = 1010 / 10 = 101

=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer

4 0

2 years ago

8 cm

Sergio039 [100]

Answer:

320 cm³

Step-by-step explanation:

none of the above

8 × 10 × 4

80 × 4

320 cm³

6 0

2 years ago

Which shows one way to determine the factors of y3 – 9x2 + 5x – 45 by grouping

Gnoma [55]

Answer:

(x²+5)(x-9)

Step-by-step explanation:

Assuming that you are asking to factor by grouping:

x³ - 9x² + 5x – 45

You can group:

x²(x-9) + 5(x-9)

and then combine the x² and 5:

(x²+5)(x-9)

4 0

2 years ago

a survey of students at a university shows that 3 out of 5 drink coffee. of the students who drink coffee, 1 out of 8 adds cream

Alex

Answer:

900 students

Step-by-step explanation:

3/5 of 12,000 = 7,200 who drink coffee

1/8 x 7,200 = 900 who drink coffee with cream

3 0

2 years ago