Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.
Use google docs to submit this assignment.

Answer:

D. x \(\leq\) 4

Step-by-step explanation:

1. You add 6 to each side

2. Divide each side by 5 to isolate x

Answer:

answer is A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

Answer:

4.9

Step-by-step explanation:

for this I used the sine rule so I did 6/sin 70 × sin 50

Answer:

D

Step-by-step explanation:

Lets go through each answer choice and check if it is correct.

A: False. 50% of 70 is not 31.

B: False. 17% of 70 is not 17.

C: False. The fraction 8/70 does not simplify to 2/25.

D: Correct. The fraction 14/70 simplifies to 2/10.

Answer:

The answer is D, On average, 2 out of 10 adults visited the museum most frequently.

Step-by-step explanation:

You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.

Answer:(-1,1)

Step-by-step explanation:

Answer:

Your answer is: (2,-1). I provided a picture in case you need to show your work.

Answer:

A. 100.48

Step-by-step explanation:

2(pi) 16

c= 2pi(radius)

This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:

x^2-2y=3 - (x-2y=3) => x^2-x=0

Then we can factor the resulting equation and find the values of x:

x^2-x=0 => x(x-1)=0 => x=0 or x=1

Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:

x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1

Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:

x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1

Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.

Answer:

The last one because 12 is not less than or equal to 10

Answer:

the last one is the answer

Answer:

5Hope it helps!

Step-by-step explanation:

153805 is divisible by 5

Answer:

Answer:

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.

Step-by-step explanation:

By definition of rectangular prism, we get the respective formulas for the volumes of the community swimming pool and the wadling pool, respectively:

Community swimming pool

V_{c} = l\cdot w\cdot h (1)

Wading pool

V_{w} = \left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w (2)

Where:

l – Length of the swimming pool, measured in feet.

h – Depth of the swimming pool, measured in feet.

w – Width of the swimming pool, measured in feet.

V_{c} – Volume of the community swimming pool, measured in cubic feet.

V_{w} – Volume of the wading swimming pool, measured in cubic feet.

The ratio of the volume of the community swimming pool to the volume of the wadling pool is:

\frac{V_{c}}{V_{w}} = \frac{l\cdot w \cdot h}{\left(\frac{1}{2}\cdot l \right)\cdot \left(\frac{1}{2}\cdot h\right)\cdot w} (3)

\frac{V_{c}}{V_{w}} = \frac{1}{\frac{1}{4} }

\frac{V_{c}}{V_{w}} = 4

The volume of the community swimming pool is 4 times greaters than the volume of the wading pool.Step-by-step explanation:

The volume of the swimming pool is 4 times the volume of the wadding pool

What is the volume of a Rectangular box?

The volume of a rectangular box is given by the formula ,

Volume of Rectangular box = Length x Width x Height

where L = length of the rectangular box

W = width of the rectangular box

H = height of the rectangular box

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the length of the swimming pool be L = 30 feet

Let the width of the swimming pool be W = 12 feet

Let the height of the swimming pool be H = 5 feet

So , volume of a rectangular box is given by the formula ,

Volume of Rectangular box = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangular swimming pool = 30 x 12 x 5

Volume of Rectangular swimming pool = 1800 feet³

Now ,

The length of the wading pool be l = 15 feet

The width of the wading pool be w = 6 feet

The height of the wading pool be h = 5 feet

Volume of Rectangular wading pool = Length x Width x Height

Substituting the values in the equation , we get

Volume of Rectangular wading pool  = 15 x 6 x 5

Volume of Rectangular wading pool = 450 feet³

Now , the volume of the swimming pool = N x Volume of Rectangular wading pool

To calculate the value of N ,

1800 = N x 450

Divide by 450 on both sides of the equation , we get

N = 4 times

Therefore , the value of N is 4

Hence , The volume of the swimming pool is 4 times the volume of the wadding pool

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

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Answer:

$15

Step-by-step explanation:

21 / 7 = 3

3 x 5 = 15

The surface area of the top open cylinder is 6810.149 sq.cm.

A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.

Surface area of a cylinder = Base area + Lateral area

Base area of a cylinder = 2 × π × r²

Lateral area of a cylinder = (2 × π × r) × h

Therefore, here base area of a cylinder = 2× π × 12²

                                                                  = 5837.27 sq.cm.

And, lateral area of a cylinder = (2 × π × 12) × 2

                                                  = 972.8784 sq.cm.

Therefore, total surface area of a cylinder = 5837.27 + 972.8784

                                                                      = 6810.149 sq.cm.

To know more about surface area:

https://brainly.com/question/951562

Answer: If you need a trust worthy answer its more than likely 2,240/24

The Exact Value is 134217728 The answer A a Fraction in simplest Form is the same number 134217728

Step-by-step explanation: The order of operations

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

4/5

Step-by-step explanation:

4/5x20/20=80/100

80/100=80%

hope this helped! have a good day :)

Answer:4/5

Step-by-step explanation:4 divided by 5=.8=.80=80%

brainlyest plz

Answer:

both first and last seem similar but the first one is correct

Answer:

A.

1 in 5 chance = 1 divided by 5 = 0.2

0.2 = 20%

There is a 1 in 5 chance that the spinner will stop on the red section.

The last answer is wrong because it will not exactly get 20 times, 20 times is the closest estimate.

Hope this helps

Step-by-step explanation:

Answer:

(3, 1)

Step-by-step explanation:

We are given the following system:
4x + y = 13

x - 3y = 0

We want to find the solution.

We can solve this system with substitution, where we solve one of the variables for the other, then substitute that value into the other equation.

To start, we can add 3y to both sides to solve for x.

x - 3y = 0

 +3y    +3y

____________________

x = 3y

Now, substitute x as 3y in 4x + y = 13

4(3y) + y = 13

12y + y = 13

13y = 13

y = 1

Now, substitute 1 as y in x=3y

x = 3(1)

x = 3

Our solution is x = 3, y = 1. As a point, that is (3,1).

Answer:

10 3/4

Step-by-step explanation:

\(x + \frac{7}{4} = - \frac{5}{2} \times - \frac{5}{1} \\ x = \frac{25}{2} - \frac{7}{4} \\ x = \frac{43}{4} \\ x = 10 + \frac{3}{4} \)

Answer:

3/4 < 33/40

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Hope it helped

Answer:

Yes

If I am wrong I am sorry

Step-by-step explanation:

-lukelaws

I hope I helped

If I am right please make me brainliest!

Answer:

1.5 hours

24 miles

Step-by-step explanation:

Seeing as the point of intersection is at 1.5 hours, we can say that that is the time that passes before they meet. And the starting point answer is 24 miles, hope this helps to all my fellow imagine math users! :D

Answer:

when 3 coins are tossed, the probability of two heads and one tail is 3 8.

Step-by-step explanation: