Find the out put, y, when the input, x, is 30.
y= 14 - 0.5x

Step-by-step explanation:

First, let's rewrite the equations.

1/2x + 1/3y =6

x - y = 2

The easiest system to use for substitution is the second one.  Let's solve for X.

x - y = 2

    add y to both sides!

x = 2 + y

Now that we know x = 2 + y we can use it to substitute in the first equation.

1/2(2 + y) +1/3y = 6

1 + 1/2y +1/3y = 6

5/6y = 5

y = 36/5

Answer:

[tex]Rate = 6[/tex]

[tex]Rate = 10[/tex]

[tex]Rate = 18[/tex]

[tex]Rate = 162[/tex]

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In table A, the 2nd and 3rd point is:

[tex](x_1,y_1) =(1,7)[/tex]

[tex](x_2,y_2) =(2,13)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{13 - 7}{2 - 1}[/tex]

[tex]Rate = \frac{6}{1}[/tex]

[tex]Rate = 6[/tex]

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

[tex](x_1,y_1) =(2,13)[/tex]

[tex](x_2,y_2) =(3,23)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{23 - 13}{3 - 2}[/tex]

[tex]Rate = \frac{10}{1}[/tex]

[tex]Rate = 10[/tex]

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

[tex](x_1,y_1) =(2,11)[/tex]

[tex](x_2,y_2) =(3,29)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{29 - 11}{3 - 2}[/tex]

[tex]Rate = \frac{18}{1}[/tex]

[tex]Rate = 18[/tex]

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

[tex](x_1,y_1) =(4,83)[/tex]

[tex](x_2,y_2) =(5,245)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{245 - 83}{5 - 4}[/tex]

[tex]Rate = \frac{162}{1}[/tex]

[tex]Rate = 162[/tex]

Answer: I think its C I hope this helps!!!!!!

Step-by-step explanation:

Answer:

a. 5 quadrant 1,2,

b. -10 quadrants 2,3,4,

c. 3 quadrant 1, 2,

d. -15 quadrants 2, 3,4

Step-by-step explanation:

The graph paper is divided into 4 quadrants starting with Quadrant 1 on top right, then quadrant 2 on top left, quadrant 3 on bottom left, and quadrant 4 on bottom right

The numbers can be found in those quadrants when locating them.

Answer:

both

Step-by-step explanation:

good because of globalism

bad because of colonialism

Answer:

80

Step-by-step explanation:

Answer: 550

Explanation:

Well first, you need to solve 40 percent of 900 (which is 360) then subtract it from the main amount (900)

So 900-360

Answer:

360

Step-by-step explanation:

So we have 40% and 900 people. Before we ask ourselves what is 40 percent of 900, lets ask ourselves what is 10 percent. So 10 percent of 900 would be 90 because you have to move the decimal point 1 unit to the left.        

Now, 40 percent is 4 times the value of 10 percent so 40 percent of 900 has to be 360, because 90 times 4 is 360.

And you can check it by multiplying 900 x .40 which would be 360

Hope this helped, good luck :)

Answer:

57in

Step-by-step explanation:

20 + 37 = 57in

Answer:

622

Step-by-step explanation:

Please mark brainliest

Answer:

Hi! The answer to your question is 622

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

I think its:

2(2x-3y)-3(x-2y-4)4

4x-6y-3x-6y(4)

4x-6y-3x-24y

x-30y

Answer:

33 1/3%

Step-by-step explanation:

Explained in question comments :)

The percent of Mrs. Vega's class who wrote a 4 page book report is 33 1/3 %.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given a dot plot which shows the number of pages written by the students in her first-period class.

Total number of students in Mrs. Vega's class = 18

[Total number of students is the number of dots in the dot plot]

Number of students who wrote 4 pages = number of dots above 4 = 6

Percentage of students who wrote 4 pages = 6/18

                                                                         = 0.333

                                                                         = 33.3%

                                                                         = 33 1/3 %

Hence the required percent is 33 1/3 %.

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According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.

I can't remember how you put it into the ratio form, but I think its 1:4??????

Answer:

4,7,10,13,16

Step-by-step explanation:

I sub

Answer:

no solution

Step-by-step explanation:

the x value in a linear equation in slope intercept form represents the slope of the line, since both equations int the system have the same slope there is no solution.

Answer:

It has 2 layers and 20 unit cubes on each layer

Step-by-step explanation:

Answer:

$3,784

Step-by-step explanation:

Answer:

the product should be [tex]-10 \frac{5}{16}[/tex]

Step-by-step explanation:

just multiply 2, and 1/16 by -5.

Answer: p=14

Step-by-step explanation:

Equation: 74.25p+993.5=2033

The person that answered it the first time is wrong

Answer:

150%

Step-by-step explanation:

60/40=x/100

=> x*40=100*60

=> x=100*60/40

=> x=150%

please mark as brainliest, l need it

Answer:

31x + 55 sq. ft.

Step-by-step explanation:

Width of Fire Pit = x ft.  Length of Fire Pit = 4x ft.

Width of Patio = x + 5 ft. Length of Patio = 4x + 11 ft. Area of Fire pit = 4x * x = 4x² sq, ft.

Total Area of Rectangular Patio (including Fire pit)  = (4x + 11)(x+5)

= 4x² + 31x + 55 sq. ft.

Area for which tiling is done = Area of Rectangular patio - Area of fire pit

= 4x² + 31x + 55 - 4x²

= 31x + 55 sq. ft.

Answer:

Outlier is 3 points.

Step-by-step explanation:

Because it stands out from the other data points!

Answer:

its 34

Step-by-step explanation:

Answer:

675esa  espuesatr

Step-by-step explanation:

The number of full cylindrical containers needed to completely fill the fish tank is 30.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The volume of a cylinder:

[tex]\rm V = \pi (6/2)^2 (8)[/tex]

V = 72π cubic inches

The volume of cube v = 24×24×12 = 6912 cubic inches

A number of full cylindrical containers are needed to completely fill the fish tank:

= 6912/72π

= 30.55 ≈ 30

Thus, the number of full cylindrical containers needed to completely fill the fish tank is 30.

Learn more about the cylinder here:

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