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3 years ago

Count how many times you can fill the quart bottle from the gallon jug

Mathematics

2 answers:

Alchen [17]3 years ago

8 0

You can fill it 4 times

Vladimir79 [104]3 years ago

4 0

Answer:

You can fill the quart bottle 4 times because there are 4 quarts in a gallon.

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5.3.4 Journal: Two-Variable Systems Elimination <br><br> I need urgent help

max2010maxim [7]

Answer:

1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) $S=\left \{ 5,10 \right \}$

Step-by-step explanation:

Completing with what was found:

<em> 1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30</em>

1. What do x and y represent in this situation?

X stands for individual acts and y, group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

$\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}$

8 0

3 years ago

The equation y = 1.9 x can be used to determine the total weight in pounds, y, of the number of paperback books in the first pri

dedylja [7]

Answer:

280

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Circle A and Circle B are conguent. CD is a chord of both circles. if AB=24 in and the radius is 13 in how long is CD

kolbaska11 [484]

See the attached picture:

3 0

3 years ago

1) What does the equation x = 4 represent in R^2? a) a circle.b) a plane.c) a line.d) a pointWhat does it represent in R^3? a) a

Sunny_sXe [5.5K]

Answer:

The equation $x=4$ represents in R^2 c) a line

The equation $x=4$ represents in R^3 a) a plane

The equation $y+3x=2$ represents in R^3 a) a plane

The equation $z-4y=8$ represents d) a plane

The pair of equations $y=2,z=8$ represents a) a line

Step-by-step explanation:

Let's start by studying each question :

In R^2 , $x=a$ with $a$ ∈ IR is the equation of all vertical lines

In this case, the only free variable is the variable ''y''

R^2 has two dimensions (x and y) so if we set $x=4$ we will have only one free variable in R^2 (which is a line in R^2). Therefore, $x=4$ represents a line in R^2

Now, in R^3 we have three dimensions (x, y and z) so if we set $x=4$ we will have only two free variables (y and z) and $x=4$ will represent a plane (which have two dimensions) in R^3.

2) The equation $y+3x=2$ in R^3 has the free variable ''z'' and given that we select a value (for example for ''x'') the another value from the variable ''y'' is determined. Finally, we have the free variables ''z'' and ''x'', and the variable ''y'' restricted for our choice of the variable ''x''.

The equation $y+3x=2$ in R^3 (given that we have two free variables) represents a plane.

Using the same reasoning, the equation $z-4y=8$ represents a plane (given that it has two free variables : ''y'' and ''x'')

Finally, the pair of equations $y=2,z=8$ set values for ''y'' and ''z'' leading us ''x'' as the free variable. With only one free variable we will have a ''one dimensional'' geometric form. The one dimensional forms in R^3 are lines.

The final answer is a) a line.

5 0

3 years ago

How many solutions does the equation have?

timurjin [86]

$4(2x+3)=2(3x-4)\\
8x+12=6x-8\\
2x=-20\\
x=-10 \Rightarrow A$

7 0

3 years ago

Read 2 more answers