All categories

3 years ago

Multiply. 1 1/2⋅3 2/3

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

4 0

Answer: The mixed number 5 & 1/2

====================================

Work Shown:

1 & 1/2 = 1 + 1/2 = 2/2 + 1/2 = 3/2

3 & 2/3 = 3 + 2/3 = 9/3 + 2/3 = 11/3

------

Multiplying 1&1/2 with 3&2/3 is the same as multiplying 3/2 and 11/3

(3/2)*(11/3) = (3*11)/(2*3) = 11/2

-------

Use long division to find that 11/2 = 5 & 1/2

Or you can break it up like this

11/2 = (10+1)/2 = 10/2 + 1/2 = 5 + 1/2 = 5 & 1/2

You might be interested in

I tried and it keep saying it wrong

arsen [322]

Answer:

175.84

Step-by-step explanation:

multiply all three numbers together

(3.14 * 4 * 14)

6 0

3 years ago

Read 2 more answers

Find the area of each figure.

Olin [163]

47: 2x * (3x^2 + x) = 6x^3 + 2x^2

48: (y^3 + 2) * 4y^2 = 4y^5 + 8y^2

4 0

3 years ago

1 If a = p^1/3-p^-1/3<br>prove that: a^3 + 3a = p - 1/p

alexandr402 [8]

Hello, please consider the following.

We know that

$a = p^{\frac{1}{3}}-p^{-\frac{1}{3}}\\\\=p^{\frac{1}{3}}-\dfrac{1}{p^{\frac{1}{3}}}$

And we can write that.

$(p-\dfrac{1}{p})^3=(p-\dfrac{1}{p})(p^2-2+\dfrac{1}{p^2})\\\\=p^3-2p+\dfrac{1}{p}-p+\dfrac{2}{p}-\dfrac{1}{p^3}\\\\=p^3-\dfrac{1}{p^3}-3(p-\dfrac{1}{p})$

It means that, by replacing p by $p^{1/3}$

$(p^{1/3}-\dfrac{1}{p^{1/3}})^3=p-\dfrac{1}{p}-3(p^{1/3}-\dfrac{1}{p^{1/3}})\\\\\\\text{ So }\\\\a^3=p-\dfrac{1}{p}-3a\\\\\boxed{ a^3+3a=p-\dfrac{1}{p} }$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

4 0

3 years ago

Data set: 4 6 2 9 11 4 Which statement is true about this data set?

Taya2010 [7]

Answer:

The median is 5, and the mean is 6 (though it would help if you gave the answers to it, and that's assuming it's a multiple choice question)

Step-by-step explanation:

2+4+4+6+9+11= 36 36÷6=6

4+6=10 10÷2=5

4 0

3 years ago

What is the ratio of the volume of Sphere A to the volume of Sphere B

zloy xaker [14]

Answer:1

Step-by-step explanation:

To find the ratio of the volume of sphere A to B

We get

A:B

V=4/3πr^3:4/3πr^3

4/3πr^3×3/4πr^3

Ratio of A to B

8 0

3 years ago

Read 2 more answers