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2 years ago

If a number is divided by eleven, the solution is two-fifths. What is the number?

2 answers:

8 0

Let
x----------> the number

we know that
x/11=2/5-----> x=11*2/5-------> x=22/5

the answer is
the number is 22/5

mixer [17]2 years ago

7 0

The number is 4 2/5.

Setting up the equation, we have
x/11 = 2/5

Multiply both sides by 11:
x = 2/5(11) = 2/5(11/1) = 22/5 = 4 2/5

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A cyclist rides her bike at a speed of 30 kilometers per hour. What is this speed in kilometers per minute? How many kilometers

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1 year ago

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

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2 years ago

Sarah designed 35 video games that designed 3 times as many video games how many more video games did trey design

olga2289 [7]

Trey designed 105 games, so he designed 70 more games. The way the question is worded is weird.

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2 years ago

Jim went by bus to visit his uncle. He left at 10 A.M. and arrived at 4 P.M. The bus traveled 270 mi. What was its average speed

Feliz [49]

Answer:

Average speed, S = 45 mph

Step-by-step explanation:

Given the following data;

Take-off time = 10 AM

Arrival time = 4 PM

Distance = 270 miles

To find the average speed of the bus;

First of all, we would determine the total time.

10 AM to 4 PM = 6 hours

Total time = 6 hours

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the formula;

$Speed = \frac{distance}{time}$

Substituting into the formula, we have;

$Speed = \frac{270}{6}$

Average speed, S = 45 mph

Therefore, the average speed of the bus is 45 miles per hour.

4 0

2 years ago