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2 years ago

What is the unit rate for 768.57 m 41.1 h

Mathematics

1 answer:

kondor19780726 [428]2 years ago

5 0

Answer: 18.7 mph

Step-by-step explanation:

We want a unit rate where 1 is in the denominator, so we divide top and bottom by 41.1

***If you found my answer helpful, please give me the brainliest. :) ***

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Solving the system of equations:

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

Find the exact value of sin (arccos (3/5)). For full credit, explain your reasoning.

zloy xaker [14]

The equation for cosine is cos(x)=Adjacent/Hypotenuse
The inside trig function is arccos(3/5), which means cos(x)=3/5. Comparing cos(x)=Adjacent/Hypotenuse with cos(x)=3/5

Find Adjacent=3 and Hypotenuse=5.
Then, using the Pythagorean theorem, find Opposite=?
a² = c² - b²
a² = 5² - 3² = 25 - 9 = 16
a = √16 = 4

Adjacent=3Opposite=4Hypotenuse=5

Plug in the value for sin(x) = opposite/hypotenuse

sin(x) = 4/5

6 0

2 years ago

A number y minus 6 is 15

Kitty [74]

Answer:

Step-by-step explanation:

15 + 6= 21

so 21-6= 15

there for your answer would be 21

Mark me brainliest plz

8 0

2 years ago

in 2000 the u.s population was 281 million people in 2008 it was 305 million what was the rate of population change per year

irga5000 [103]

The rate of change per year is 3 million per year.

4 0

2 years ago

Rachel lives in a home with a value of $195,000 and has a mortgage of $160,000. She has electronic equipment worth $2,325. She i

Elan Coil [88]

To Find :

Net worth of Rachel.

Solution :

Net worth is given by the (sum of all the assets she owns) -( total amount of loans she have ).

$Net \ Worth=( 195000+160000+2325+9300+1437+1200)-(875+4800)\\\\Net \ Worth=\$\ 363587$

Therefore, net worth of Rachel is $ 363587.

Hence, this is the required solution.

4 0

2 years ago