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shtirl [24]
3 years ago
7

John and mark alone in a Siberian forest. John is trying to plan out the rest of the food for the trip. He has 9 fish, 27 wild s

trawberries and 12 bottles of water. He wants to make serving with the most amount of fruit but wants each serving to be the same. How many serving can he make?
Mathematics
1 answer:
Triss [41]3 years ago
4 0

Answer:

3

Step-by-step explanation:

3 is the largest common factor in all of the numbers

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3 years ago
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For the given line segment, write the equation of the perpendicular bisector.
Jlenok [28]

Answer:

D) y = -4/5x – 47/10

Step-by-step explanation:

Step 1. Find the <em>midpoint of the segmen</em>t.

The two end points are (-6, -4) and (-2, 1).

The midpoint is at the average of the coordinates.

(xₚ, yₚ) = ((x₁ + x₂)/2, (y₁ + y₂)/2)

(xₚ, yₚ) = ((-6 - 2)/2, (-4 + 1)/2)

(xₚ, yₚ) = (-8/2, -3/2)

(xₚ, yₚ) = (-4, -3/2)

===============

Step 2. Find the <em>slope (m₁) of the segment</em>

m₁ = (y₂ - y₁)/(x₂ - x₁)

m₁ = (1 - (-4))/(-2 - (-6))

m₁ = (1 + 4)/(-2 + 6)

m₁ = 5/4

===============

Step 3. Find the <em>slope (m₂) of the perpendicular bisector </em>

m₂ = -1/m₁

m₂ = -4/5

====================

Step 4. Find the <em>intercept of the perpendicular bisector</em>

y = mx + b

y = -(4/5)x + b

The line passes through (-4, -3/2).

-3/2 = -(4/5)(-4) + b

-3/2 = 16/5 + b      Multiply each side by 10

 -15 = 32 + 10 b    Subtract 32 from each side

 -47 = 10b             Divide each side by 10

    b = -47/10

===============

Step 5. Write the <em>equation for the perpendicular bisector</em>

y = -4/5x – 47/10

The graph shows the midpoint of your segment at (-4, -3/2) and the perpendicular bisector passing through the midpoint and (0, -47/10).

4 0
3 years ago
D 2.<br> The sum of 3x2 – 8x – 2 and 4x – 2 is
maw [93]

Answer:

3x^2 -4x -4

Step-by-step explanation:

3x^2 – 8x – 2 + 4x – 2

Combine like terms

3x^2 -8x+4x -2 -2

3x^2 -4x -4

8 0
3 years ago
Read 2 more answers
3x + 10 &gt;28 inequality
ratelena [41]

Answer:

x > 6

Step-by-step explanation:

Given

3x + 10 > 28 ( subtract 10 from both sides )

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x > 6

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3 years ago
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Expand and simplify 5(3x+2)-2(4x-1)
blsea [12.9K]

5(3x+2)-2(4x-1)

= 15x+10-8x+2

= 7x+12

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2 years ago
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