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2 years ago

Divide. Write your answer in simplest form. 9/2 / 1/4

Mathematics

2 answers:

BartSMP [9]2 years ago

8 0

Answer:

Step-by-step explanation:

9/2 / 1/4

keep 9/2

Change the operation to multiplication

flip 1/4 into 4 or 4/1

multiply on top and bottom and get 36/2

which 36/2 is 18 and 18 is the answer

Brainliest?

just olya [345]2 years ago

5 0

It has to be 18 use Socratic

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Perform the indicated operation. Be sure the answer is reduced.

avanturin [10]

<h3>Given Equation:-</h3>

$\boxed{ \rm \frac{4x^{2}y^{3}z}{9} \times \frac{45y}{8 {x}^{5} {z}^{5} }}$

<h3>Step by step expansion:</h3>

$\dashrightarrow \sf\dfrac{4x^{2}y^{3}z}{9} \times \dfrac{45y}{8 {x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{ \cancel4x^{2}y^{3}z}{9} \times \dfrac{45y}{ \cancel8 {x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{9} \times \dfrac{45y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{ \cancel9} \times \dfrac{ \cancel{45}y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{2}y^{3}z}{1} \times \dfrac{5y}{2{x}^{5} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{x^{0}y^{3}z}{1} \times \dfrac{5y}{2{x}^{5 - 2} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}z}{1} \times \dfrac{5y}{2{x}^{3} {z}^{3} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}z {}^{0} }{1} \times \dfrac{5y}{2{x}^{3} {z}^{3 - 1} }$

$\\ \\$

$\dashrightarrow \sf\dfrac{y^{3}}{1} \times \dfrac{5y}{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5y \times {y}^{3} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5y {}^{0} \times {y}^{3 + 1} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \sf \dfrac{5 \times {y}^{4} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\dashrightarrow \bf \dfrac{5 {y}^{4} }{2{x}^{3} {z}^{2} }$

$\\ \\$

$\therefore \underline{ \textbf{ \textsf{option \red c \: is \: correct}}}$

8 0

1 year ago

A rope is used to anchor a boat to the shore. The angle of depression from the boat to the water is 40° . The height of the boat

IrinaVladis [17]

Please refer the attached figure for better understanding of the solution

Here we are given that the angle of depression is 40°

And the height of the boat from the water is 25.17 ft

we need to find the length of the rope used which we can take as x

We can see that sin is the ratio that corresponds to the opposite side and the hypotenuse sides of the triangle formed

so we have

sin 40° = $\frac{25.17}{x}$

$x=\frac{25.17}{sin 40}$

$x=\frac{25.17}{0.6427}$

$x= 39.16$

Hence the length of the rope needed is 39.16 ft

3 0

3 years ago

The heights of men in the United States are approximately normally distributed with mean 69.1 inches and standard deviation 2.9

Gre4nikov [31]

Answer:

Step-by-step explanation:

Let M be the heights of men in the United States and W be the heights of women in the United States

Given that M is N(69.1, 2.9) and W (63.7, 2.7)

For a husband and wife we have average height as

$\frac{x+y}{2}$ =Z (say)

$Mean =E(z) = \frac{1}{2} [E(M)+E(W)] = 66.4 inches$

Var (Z) = $Var (\frac{x+y}{2} )=\frac{1}{4}[Var(x)+ Var(y)+2 cov (x,y)]\\$

= $0.25[2.9^2+2.7^2+2*r*sx*sy]\\= 0.25(20.398)\\=5.0995$

Mean = 66.4" and std dev = 2.258

7 0

2 years ago

Elisa puts $1,000 into each of 2 bank accounts. Account A: 3% interest rate, compounded annually, which is ✔ exponential growth

Bas_tet [7]

Answer:

Account A: 1,092.73

Account B: 1,120

Step-by-step explanation:

After 3 years, account B will yield more. But, in the long run the exponential function, which is account A, will make more money. I hope this helps :)

8 0

2 years ago

Point M is the midpoint of the segment RS. If M is located at the point (5, 1) and S is located at the point (8, -3), find the c

Brilliant_brown [7]

Answer:

(2, 5)

Step-by-step explanation:

I plugged into a graphing calculator and just did it by looking at how many spots it was down or over from the midpoint and then did the opposite. I really don't know how to explain it so I am sorry for that, but I hope this helps.

5 0

3 years ago