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3 years ago

Which ratio is equal to 6/15?

Mathematics

2 answers:

barxatty [35]3 years ago

5 0

The greatest common factor between 6 and 15 is 3.
You can reduce 6/15 down to 2/5.

sdas [7]3 years ago

3 0

: A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent-ratios.

 Consider the ratio 6 : 4,
6/4 = (6 x2)/(4 x 2) = 12/8 
6/4 = (6 x3)/(4 x 3) = 18/12 
6/4 = (6 x4)/(4 x 4) = 24/16 
And so on.
All these are equivalent-ratio of 6/4.
If a : b and c : d are two equivalent-ratios, we write a/b = c/d

1) Find two equivalent-ratios of 6 : 15.
Solution : 
6/15 = (6 x2)/(15 x 2) = 12/30 
6/15 = (6 ÷ 3)/(15 ÷ 3) = 2/5 
So, 12 : 30 and 2 : 5 are the two equivalent-ratios of 6 : 15.

Here is an helpful video
https://www.youtube.com/watch?v=CamClJACdAI

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I will mark a thanks and give 10 points please answer

gayaneshka [121]

Answer:

Step-by-step explanation:

because it is not a linear equation

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3 years ago

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Sonja [21]

Answer:

Step-by-step explanation:

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From the second figure,

In ΔJHG and ΔLKH,

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Therefore, ΔJHG ≅ ΔLKH [By SSS property of congruence]

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3 years ago

What is 4 and 3/4 - 1 and 1/3? The answer is one of these: 2 and 2/7, 2 and 2/12, 3 and 5/12, or 3 and 5/7

nignag [31]

Answer:

3 and 5/12

Step-by-step explanation:

$4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}$

$\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\$

This fraction is equivalent to,

$3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}$

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3 years ago

A broker has calculated the expected values of two different financial instruments X and Y. Suppose that E(x)= $100, E(y)=$90 SD

Sveta_85 [38]

Expectation is linear, meaning

E(a X + b Y) = E(a X) + E(b Y)

= a E(X) + b E(Y)

If X = 1 and Y = 0, we see that the expectation of a constant, E(a), is equal to the constant, a.

Use this property to compute the expectations:

E(X + 10) = E(X) + E(10) = $110

E(5Y) = 5 E(Y) = $450

E(X + Y) = E(X) + E(Y) = $190

Variance has a similar property:

V(a X + b Y) = V(a X) + V(b Y) + Cov(X, Y)

= a^2 V(X) + b^2 V(Y) + Cov(X, Y)

where "Cov" denotes covariance, defined by

E[(X - E(X))(Y - E(Y))] = E(X Y) - E(X) E(Y)

Without knowing the expectation of X Y, we can't determine the covariance and thus variance of the expression a X + b Y.

However, if X and Y are independent, then E(X Y) = E(X) E(Y), which makes the covariance vanish, so that

V(a X + b Y) = a^2 V(X) + b^2 V(Y)

and this is the assumption we have to make to find the standard deviations (which is the square root of the variance).

Also, variance is defined as

V(X) = E[(X - E(X))^2] = E(X^2) - E(X)^2

and it follows from this that, if X is a constant, say a, then

V(a) = E(a^2) - E(a)^2 = a^2 - a^2 = 0

Use this property, and the assumption of independence, to compute the variances, and hence the standard deviations:

V(X + 10) = V(X) ==> SD(X + 10) = SD(X) = $90

V(5Y) = 5^2 V(Y) = 25 V(Y) ==> SD(5Y) = 5 SD(Y) = $40

V(X + Y) = V(X) + V(Y) ==> SD(X + Y) = √[SD(X)^2 + SD(Y)^2] = √8164 ≈ $90.35

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4 years ago

It is observed that the time for the ball to strike the ground at b is 2.9 s. determine angle θa at which the ball was thrown

katen-ka-za [31]

Assuming the ball was popped up vertically, the angle is 90 degrees.
Any less angle would require the initial velocity which is not given.

4 0

3 years ago