1. Convert the following temperatures to the celsius scale.<br>(a) 293 K<br>(b) 470 K.

Sarah and Jean were able to sell 4 dozen of cupcakes in a hour at a school fair if this rate continue how many dozen s of cupcak

Alik [6]

Answer:

Step-by-step explanation:

Firstly,

We can tell by reading the question that they sell 48 cupcakes witch is 4 dozens every hour so if they continue to sell at that same rate then:

There are 8 hours between 9am and 5pm

∴ It is 48:1

That means 48 cupcakes per hour this is equation is a direct proportion so if any number increases so will the other

So if it is 48:1 then x:8 with be = 48x8

∴ Sarah and Jean will be able to sell 384 cupcakes

7 0

2 years ago

Which graph shows a constant function

Bad White [126]

Answer: B

Step-by-step explanation:

3 0

2 years ago

Find the augmented matrix for each of the following systems of linear equations. (a) x₂ - 2x2 = 0 (6) x + x₃ = 1 .3x₂ + 4x2 = -1

Y_Kistochka [10]

Answer:

The augmented matrix for each set of linear equations is:

a) $x_1-2x_2=0\\3x_1+4x_2=-1\\2x_1-x_2=3$

Augmented matrix:

$\left[\begin{array}{ccc}1&-2&0\\3&4&-1\\2&-1&3\end{array}\right]$

b) $x_1+x_3=1\\-x_1+2x_2-x_3=3$

Augmented matrix:

$\left[\begin{array}{cccc}1&0&1&1\\-1&2&-1&3\end{array}\right]$

c) $x_1+x_3=1\\2x_2-x_3+x_5=2\\2x_3+x_4=3$

Augmented matrix:

$\left[\begin{array}{cccccc}1&0&1&0&0&1\\0&2&-1&0&1&2\\0&0&2&1&0&3\end{array}\right]$

d) $x_1=1\\x_2=2$

Augmented matrix:

$\left[\begin{array}{ccc}1&0&1\\0&1&2\end{array}\right]$

Step-by-step explanation:

In order to find the augmented matrix, you have to take the numeric values of each variable and make a matrix with them. For example, in the linear system a) you can make a matrix out of the numeric values accompanying x_1 and x_2, this matrix will be:

$\left[\begin{array}{cc}1&-2\\3&4\\2&-1\end{array}\right]$