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DaniilM [7]
3 years ago
14

Of the flowers on Alonzo's yard, 2/5 are tulips. Of the tulips, 5/8 are yellow. What fraction of the flowers on Alonzo's yard ar

e yellow tulips?
Mathematics
1 answer:
babymother [125]3 years ago
6 0

Answer:

1/4

Step-by-step explanation:

Suppose that the flowers are 100

tulips = 100/5 x 2 = 40

yellow tulips = 40/8 x 5 = 25

25/100 = 1/4

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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
3 years ago
If a coin is flipped 5 times and a head comes up 2 times, what is the relative frequency of a head coming up?
Rainbow [258]

Answer: I think it's B but i might be wrong

8 0
4 years ago
Please help it would mean a lot to me :)
Luda [366]

Answer:

a) TO = OP = 13

b) Height = 12

Step-by-step explanation:

a) Isosceles triangle TOP with base TP = 10 cm, side TO = OP = x cm.

Perimeter of triangle TOP = 36 cm

=> TO + OP + TP = 36

=> x + x + 10 = 36

=> 2x = 26

=> x = 13

=> TO = OP = 13 cm.

b) Apply Pythagorean theorem:

height^2 + (base/2)^2 = side^2 (height^2 + (TP/2)^2 = TO^2)

or

height^2 + (10/2)^2 = 13^2

or

height^2 + 25 = 169

or

height^2 = 144

or

height = 12

Hope this helps!

5 0
4 years ago
What are the common factors of 8 and 16
julia-pushkina [17]
The common factor of 8 and 16 are 1, 2, 4, and 8.
5 0
3 years ago
Read 2 more answers
Give a step by step instructions
Lina20 [59]

Answer:

1. X-intercept is 5    Y-intercept is 4    (Red Line)

2. X-intercept is 1    Y-intercept is 2    (Blue Line)

3. X-intercept is -2   Y-intercept is 4   (Green Line)

Step-by-step explanation:

DESMOS graphing calculator. Here is the graph showing my work:

7 0
3 years ago
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