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2 years ago

1. What is the product of one half and two thirds?

Mathematics

1 answer:

Vilka [71]2 years ago

3 0

Answer:

1/3

Step-by-step explanation:

1/2 * 2/3 = 2/6 = 1/3

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Please someone help me‼️

Flauer [41]

Answer:

6 m

Step-by-step explanation:

The volume of a cone is found by $\frac{\pi r^2h}{3}$ , so we can plug the values in to get 6pi * r^2 / 3 = 72pi, or 6pi * r^2 = 216 pi, so r^2 = 36 and the radius is 6 m.

4 0

2 years ago

Need help simplifying this

diamong [38]

The simplified answer is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$ .

<u>Step-by-step explanation:</u>

$$\frac{3 y+2 x}{z+2 x}-\frac{2 y-3 x}{3 x+y}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

To add or subtract denominators of the fraction must be same.

If it is not the same, we must take LCM of the denominators. and so we can add the fractions.

To make the denominator same multiply the 1st term $(\frac{3x+y}{3x+y})$ and 2nd term by $(\frac{z+2x}{z+2x})$

= $\frac{(3 y+2 x)(3 x+y)}{(z+2 x)(3 x+y)}-\frac{(2 y-3 x)(z+2 x)}{(3 x+y)(z+2 x)}-\frac{2 z(y+3 x)}{6 x^{2}+3 x z+2 x y+y z}$

LCM of the denominators is 6x²+ 3xz + 2xy +yz.

Multiply the factors in the numerator.

= $\frac{\left(6 x^{2}+3 y^{2}+11 x y\right)}{(z+2 x)(3 x+y)}-\frac{\left(2 y z+4 x y-3 x z-6 x^{2}\right)}{(3 x+y)(z+2 x)}-\frac{2 z y+6 x z}{6 x^{2}+3 x z+2 x y+y z}$

Now, the denominators are same, you can subtract it.

= $\frac{\left(6 x^{2}+6 x^{2}+11 x y-4 x y-2 y z-2 y z+3 x z-6 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

= $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

Thus the simplified solution is $\frac{\left(12 x^{2}+7 x y-4 y z-3 x z+3 y^{2}\right)}{6 x^{2}+3 x z+2 x y+y z}$

4 0

2 years ago

Which linear inequality represents the solution set graphed?

SCORPION-xisa [38]

The answer is B I agree with him/her

6 0

1 year ago

What is the value of x in the equation 6(x − 2) − 4x = 16? A x=14 x=14 B x=4 x=4 C x=2 x=2 D x=12 x=12

prohojiy [21]

Answer:

A) x=14

Step-by-step explanation:

hello :

6(x − 2) − 4x = 16

6x-12 -4x =16

2x-12=16

add 12 : 2x=16+12

2x= 28

x=28/2=14

5 0

2 years ago

The sat scores have an average of 1200 with a standard deviation of 120. a sample of 36 scores is selected. what is the probabil

Naya [18.7K]

We first standardise $\bar{x}$ :
P(1224 > $\bar{x}$ )=P( $\frac{1224-1200}{\frac{120}{ \sqrt{36} }}$ > $\frac{\bar{x}-1200}{\frac{120}{\sqrt{36}}}$ )
which reduces to finding P(Z > 1.2) = 0.115

4 0

2 years ago

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