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zepelin [54]
3 years ago
7

How many solutions does the system have? x = -4y + 4 2x + 8y = 8

Mathematics
1 answer:
olga_2 [115]3 years ago
7 0
Solutions 

To solve the system lets use substitution 

2x+8y=8 

2(-4y+4)+8y=8 

8=8 

<span>This is a dependent system. 
</span>
------------ Now lets solve the same system using Elimination  

Our first step will be to <span>multiply the given system by 2
</span>
2x+8y=8&#10;&#10;2x+8y=8

0=0 

There are Infinitely Many Solutions
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What is the ratio of the volume of Cylinder A to the volume of Cylinder B?
erastovalidia [21]

Answer:

The ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

Step-by-step explanation:

Dimension of cylinder A,

Radius is 3 units and height is 4 units.

Dimension of cylinder B,

Radius is 5 units and height is 2 units.                          

The volume of a cylinder is given by :

V=\pi r^2 h

For cylinder A to B,

\dfrac{V_A}{V_B}=(\dfrac{r_A}{r_B})^2\times \dfrac{h_A}{h_B}\\\\\dfrac{V_A}{V_B}=(\dfrac{3}{5})^2\times \dfrac{4}{2}\\\\\dfrac{V_A}{V_B}= \dfrac{18}{25}

So, the ratio of volume of Cylinder A to the volume of Cylinder B is 18:25.

3 0
3 years ago
Find the mode: 16,12,10,15,7,916
Airida [17]

The mode is the value from a given set of data that occurs most often. It is the data with the highest frequency.

Given:

16,12,10,15,7,9,16

Form the above data given;

Rearranging for easy identification, we have;

7,9,10,12,15,16,16

\begin{gathered} 7\text{ appears once} \\ 9\text{ appears once} \\ 10\text{ appears once} \\ 12\text{ appears once} \\ 15\text{ appears once} \\ 16\text{ appears twice} \end{gathered}

From the above, we can deduce that the mode is 16 because it appears the most often. It appears twice.

Therefore, the mode is 16.

4 0
1 year ago
Please help me, which of the following sets of ordered pairs is a function?
Anni [7]
Function means no x value repepetes with a differnt y value
(x,y)
first numbers never repeat


first one, the x values repeat
2nd, x values rpeat
3rd, no repeat
4th, -3 repeats

answer is 3rd option
4 0
3 years ago
I am four times as old as my daughter. In 20 years time I shall be twice as old as her. How old are we now?
SashulF [63]

Answer:

If x is my daughter's age now, my age now is 4x. So now my daughter is 10 years old, and I'm 40 years old, and in 20 years she'll be 30 and I'll be 60, twice as hers.

Step-by-step explanation:

6 0
3 years ago
The distance between the pair of points (3,5) and (11,11)
statuscvo [17]

Formula: d = √(x2-x1)²+(y2-y1)²

d = √(11-3)²+(11-5)²

d = √8²+6²

d = √64+36

d = √100

d = 10

Best of Luck!

5 0
3 years ago
Read 2 more answers
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