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Vikentia [17]
2 years ago
9

If 9p=5q which is the correct ratio of p:q

Mathematics
2 answers:
tatyana61 [14]2 years ago
4 0

Answer: LHS = RHS

Step-by-step explanation:

Heya!!

Here, we need to compare the LHS and RHS

So, here is the solution -

(9p-5q)²+ 180 pq = (9p+5q)

LHS

= (9p-5q)²+ 180 pq

= 81 p² + 25 q² + 90 pq + 180 pq

= (9p - 5q) ²

RHS = (9p - 5q) ²

Hence, proved => LHS = RHS

Hope it helps!

zimovet [89]2 years ago
3 0

Answer:

5 : 9

Step-by-step explanation:

9p = 5q ( divide both sides by q )

9 × \frac{p}{q} = 5 ( divide both sides by 9 )

\frac{p}{q} = \frac{5}{9} , that is p : q = 5 : 9

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How to I solve problem 1?
Verdich [7]
#1

The uniforms are numbered 0, 1, 2, ..., 99. That's 100 numbers. Half of them are odd and half of them are even. So the probability that any one of the uniforms is odd is 1/2 just like the probability that any one uniform is even is 1/2.

(a) The numbers on the uniforms are independent of one another. That is, the number of her cross-country uniform does not in any way determine the number on her basketball uniform and vice versa. This means that we can find the probability that each is odd and multiply these together using what is called the counting principle. The probability that all are odd is:
(1/2)(1/2)(1/2)=1/8

(b) This is done the same way we did part (a). Since the probability of any one uniform being odd is the same as it being even (1/2), the answer here is the same: (1/2)(1/2)(1/2)=1/8

(c) This problem differs from that in (a) and (b). There is only one way for all three uniforms to be odd numbers: (odd, odd, odd) or all even (even, even, even). However, there are multiple ways for the uniforms to be two odd and one even. If the uniforms are listed in order: cross-country, basketball, softball we can get exactly one even in any of three ways:
even, odd, odd
odd, even, odd
odd, odd, even
The probability for any one of these possibilities is (1/2)(1/2)(1/2)=1/8 but since there are three way the probability that we get even exactly once is equal to (3)(1/8) = 3/8
7 0
3 years ago
2(3x+8)=6x+16<br> how many solutions does this equation have
Kisachek [45]

Answer:

infinite

Step-by-step explanation:

infinite

but solving for it we can get

3x + 8 = 3x + 8 (divided both sides by 2)

3x = 3x (subtracted 8)

x = x

1 = 1

therefore, for all values of x, the equation will be true so there are

infinite solutions

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2 years ago
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3 years ago
Read 2 more answers
How do the lengths of line segments define the golden ratio?
NISA [10]

Answer:

\frac{a+b}{a}=\frac{a}{b}

Step-by-step explanation:

The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true \frac{a+b}{a}=\frac{a}{b}.

When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.

Example:

If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion \frac{a+b}{a}=\frac{a}{b}.

\frac{30.9+19.1}{30.9}=\frac{30.9}{19.1}

\frac{50}{30.9}=\frac{30.9}{19.1}

1.618 = 1.618

This is the golden ratio.

5 0
3 years ago
6) Which square root is NOT a whole number?
enyata [817]

Answer:

156 is not a square root.

3 0
3 years ago
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