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Snowcat [4.5K]
3 years ago
11

You start at (3, -5). you move left 4 units. where do you end?

Mathematics
1 answer:
Marat540 [252]3 years ago
4 0

Answer:

(-2,-5)

Step-by-step explanation:

you simply move five units to the left, since you are not going up and down, they Y axis stays the same. The X axis is the one you count.

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Justify each step in solving the equation 4X equals seven times X -3
torisob [31]
4x = 7(x-3)

1.  Distribute that multiplicand 7:  4x = 7x - 21

2.  Group the x terms together:  Subtract 4x from both sides:  0 = 3x - 21

3.  Solve for x:  Add 21 to both sides:  21 = 3x

4.  Divide both sides by 3 to obtain x = 7 (answer)
5 0
3 years ago
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A container is shaped like a cylinder with half spheres on each end. The cylinder has a length of 30 centimeters and a radius is
Crank

The cubic centimeter one container can hold is 2,878.33 cm³.

<h3>What is the  cubic centimeter one container can hold ?</h3>

In order to determine the  cubic centimeter one container can hold, the volume of the container has to be determined.

Volume of the container = volume of the cylinder + (2 x volume of the hemisphere)

Volume of the cylinder = πr²h

Where:

  • π = 3.14
  • r = radius
  • h = height

3.14 x 5² x 30 = 2355 cm³

Volume of a hemisphere = (2/3) x π x r³

2 x (2/3 x 3.14 x 5³) = 523.33 cm³

Volume of the container =  523.33 cm³ + 2355 cm³ = 2,878.33 cm³

To learn more about the volume of a hemisphere, please check: brainly.com/question/26840364

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7 0
2 years ago
Donna de paul is raising money for the homeless. She discovers that each church group requires 2 hours of let her writing and 1
Salsk061 [2.6K]

Answer:

x  =  7

y  =  3

z (max)  =  4950/3  =  1650

Step-by-step explanation:

Let call  

x numbers of church goup and

y numbers of Union Local

Then  

First contraint

2*x + 2*y ≤ 20

Second one

1*x + 3*y ≤ 16

Objective Function

z = 150*x + 200*y

Then the system is

z = 150*x + 200*y To maximize

Subject to:

2*x + 2*y ≤ 20

1*x + 3*y ≤ 16

x ≥ 0 y ≥ 0

We will solve by using the Simplex method

z - 150 *x - 200*y = 0

2*x + 2*y + s₁ = 20  

1*x + 3*y + 0s₁ + s₂ = 16

First Table

z           x          y          s₁           s₂          Cte

1        -150    -200       0            0     =      0

0          2         2           1            0     =    20

0          1          3          0            1      =     16

First iteration:

Column pivot   ( y column ) row pivot (third row) pivot 3

Second table

z           x                y          s₁           s₂                Cte

1       -250/3           0          0         200/3    =    3200/3

0      - 4/3               0          -1           2/3       =    -20/3

0         1/3               1            0           1/3       =    -20/3

Second iteration:

Column pivot  ( x column ) row pivot  (second row)  pivot  -4/3

Third table

z           x                y          s₁           s₂                Cte

1            0               0      750/12    700/6    =   4950/3

0            1                0        3/4          -1/2     =    7

0            0                1         -1/4          1/2     =  9/3

5 0
3 years ago
Algebra 2 Question, tagged in the link
deff fn [24]
The answer to the question

7 0
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A kg of aluminum earns a collector $2.50 at the recycling center. If I collect 14 kg. Of aluminum cans, how much money will I ea
saul85 [17]

Answer:

$ 35

Step-by-step explanation:

\frac{1}{14}  =  \frac{2.5}{x}

x = 14 \times 2.5 \\  \\ x = 35

8 0
3 years ago
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