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2 years ago

A stick is x meter long. A string is 4 times as long as the stick. Express the length of the stick in terms of x.

1 answer:

soldier1979 [14.2K]2 years ago

7 0

To represent the length of the string, we can use the variable y.

$y=4x$

Y is four times longer than X.

Hope this helps!

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Solve the system of equations and choose the correct ordered pair.

frez [133]

What I would do:

5x + 10y = 35

Divide everything by 5.

x + 2y = 7

x = 7 - 2y

Now plug "x" into either one of the equations.

2(7-2y) + 5y = 15

14 - 4y + 5y = 15

14 + y = 15

y = 1

Now, solve for x by plugging in y into either one of the equations.

2x + 5y = 15

2x + 5 =15

2x = 10

x = 5

So x is 5 and y is 1.

Check by plugging in the values into the other equation.

5x + 10y = 35

5(5) + 10(1) = 35

25 + 10 = 35

35 = 35

The values are correct so, the answer for this problem is B (5, 1).

3 0

3 years ago

Find the volume of the figure. Use 3.14 for pi

Natasha2012 [34]

Answer:

Step-by-step explanation:

6 0

2 years ago

Find the first partial derivatives of the function f(x,y,z)=4xsin(y−z)

Amanda [17]

Answer:

$f_x(x,y,z)=4\sin (y-z)$

$f_x(x,y,z)=4x\cos (y-z)$

$f_z(x,y,z)=-4x\cos (y-z)$

Step-by-step explanation:

The given function is

$f(x,y,z)=4x\sin (y-z)$

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

$f_x(x,y,z)=4(1)\sin (y-z)$

$f_x(x,y,z)=4\sin (y-z)$

Differentiate partially w.r.t. y and x, z are constants.

$f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)$

$f_y(x,y,z)=4x\cos (y-z)$

Differentiate partially w.r.t. z and x, y are constants.

$f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)$

$f_z(x,y,z)=4x\cos (y-z)(-1)$

$f_z(x,y,z)=-4x\cos (y-z)$

Therefore, the first partial derivatives of the function are $f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)$ .

4 0

3 years ago

If 4 raffle tickets is 6 dollars how much is 1 raffle ticket

sertanlavr [38]

4/6 = 1/x cross multiple so x= 1.5 dollars

8 0

3 years ago

A certain type of bacteria doubles in population every 6 hours. There were approximately 100 bacteria at the beginning of the da

Zepler [3.9K]

Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours

5 0

2 years ago