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djverab [1.8K]
3 years ago
6

Solve each system of equations by graphing y=2/3x+3 3y=2x+15

Mathematics
1 answer:
dangina [55]3 years ago
7 0

Answer:

There is no solution to that equation.

Step-by-step explanation:

First thing to do is to put the second equation in terms of y. To do so the equation becomes y= 2/3x+5. Comparing those two equation you can see that the slopes are the same and thus means that the system has no solution.

Another way to see this is by graphing both of thee equations is a calculator and seeing there are no points of intersection.

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At Thanksgiving, Mrs. Jones overcooked the turkey so all but 5 of it had to be thrown away. The 8 people at dinner that
VashaNatasha [74]

<em>The question has inconsistent or incomplete data, so I'm filling the holes with key data.</em>

Answer:

<em>Every people at dinner received one-tenth of the original turkey= 0.1</em>

Step-by-step explanation:

<u>Proportions</u>

If some fraction a/b of a whole total M is to be computed and later removed, we proceed as follows

* Compute the portion to be removed as a/b*M

* Subtract it from the total quantity: M-a/b*M=M(1-a/b)

I'm assuming 1/5 of the turkey was lost due to overcooking. It means that (1-1/5) of the turkey remained for dinner, that is, 4/5 of the turkey.

Each people at dinner received the same amount of the remaining, so we must divide 4/5 by 8, to get 4/40, or 1/10. It means that every people at dinner received one-tenth of the original turkey

3 0
3 years ago
Read 2 more answers
What is the volume of a shipping cube with dimensions of 2 and 1/2 feet
Fantom [35]

For this case we have that by definition, the volume of a cube is given by:

V = l ^ 3

Where:

l: It's the side of the cube

According to the statement data:

l = 2 \frac {1} {2} = \frac {2 * 2 + 1} {2} = \frac {5} {2}

Substituting in the formula we have:

V = (\frac {5} {2}) ^ 3\\V = \frac {5 ^ 3} {2 ^ 3}\\V = \frac {125} {8}\\V = 15.625

Thus, the shipping cube volume is15.625 \ ft ^ 3

Answer:

15.625 \ ft ^ 3

6 0
3 years ago
Look at the picture I attached​
kow [346]

Answer:

20

Step-by-step explanation:

hope this helps

6 0
2 years ago
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Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from p
serious [3.7K]

Answer:

A′B′ and AB are equal in length.

Step-by-step explanation:

Given that the location of the points are at A(1, 3) and B(5, 3).

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.

If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).

Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)

AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,

5 0
3 years ago
What is the final answer for 6x-6-7x=-13/2
olya-2409 [2.1K]
6x - 6 - 7x = -13/2

Multiply both sides by 2:
12x - 12 - 14x = -13

Simplify:
-2x - 12 = -13

Add 12 to both sides:
-2x = -1

Divide both sides by 2:
-x = -1

Change to a positive value of x:
x = 1

6 0
3 years ago
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